From 3e7d4f72a1c194324df08054cc5f77e0e72bfebc Mon Sep 17 00:00:00 2001
From: MaZiFAU <63099053+MaZiFAU@users.noreply.github.com>
Date: Mon, 4 Sep 2023 18:33:21 +0200
Subject: [PATCH] MMTFunctions; BugFixes; Refactoring;

MMTFunctions:
+chabged to new FUN(TYPE)
+changet to proper Tuple usage,
+implemented: ProjL/R, FeedForward/StepUntil
+ToType() for SomDocs
+...

Refactoring:
+Popup/Behaviour

BugFixes:
+RightAngle
+FallBackJasonScroll
---
 Assets/Scripts/GlobalBehaviour.cs             |     2 +
 .../AttachedPositionFunctionBehaviour.cs      |     2 +-
 .../FactHandling/Facts/AbstractAngleFact.cs   |    84 +-
 .../FactHandling/Facts/Fact.cs                |     2 +-
 .../FactHandling/Facts/FunctionFact.cs        |    26 +-
 .../FactHandling/Facts/MMTTypes.cs            |    58 +-
 .../TBD/CanonBallCalculator.cs                |   154 +-
 .../Scripts/InventoryStuff/ScrollDetails.cs   |    68 +-
 .../Loading/LoadingScreenPercentage.cs        |     3 +-
 Assets/Scripts/MMTServer.meta                 |     8 +
 .../MMTServer/CommunicationProtocoll.meta     |     8 +
 .../CommunicationProtocoll/MMTConstants.cs    |    33 +-
 .../MMTConstants.cs.meta                      |    11 +
 .../SOMDocToLambdaExpression.cs               |   149 +-
 .../CommunicationProtocoll/SOMDocs.cs         |   253 +-
 .../CommunicationProtocoll/SOMDocs.cs.meta    |    11 +
 Assets/Scripts/UI/InGame/PopupBehavior.cs     |     9 +-
 .../Extensions/IEnumerableExtensions.cs       |    84 +
 .../Extensions/IEnumerableExtensions.cs.meta  |    11 +
 .../Utility/Extensions/LayerMaskExtensions.cs |     1 -
 .../Utility/Extensions/MathfExtensions.cs     |     1 -
 .../Utility/Extensions/TupleExtensions.cs     |    20 +
 .../Extensions/TupleExtensions.cs.meta        |    11 +
 .../Utility/Extensions/TypeExtensions.cs      |     2 -
 Assets/StreamingAssets/scrolls.json           | 37208 ++++++++++++++++
 Assets/StreamingAssets/scrolls.json.meta      |     7 +
 26 files changed, 38030 insertions(+), 196 deletions(-)
 create mode 100644 Assets/Scripts/MMTServer.meta
 create mode 100644 Assets/Scripts/MMTServer/CommunicationProtocoll.meta
 create mode 100644 Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs.meta
 create mode 100644 Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs.meta
 create mode 100644 Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
 create mode 100644 Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs.meta
 create mode 100644 Assets/Scripts/Utility/Extensions/TupleExtensions.cs
 create mode 100644 Assets/Scripts/Utility/Extensions/TupleExtensions.cs.meta
 create mode 100644 Assets/StreamingAssets/scrolls.json
 create mode 100644 Assets/StreamingAssets/scrolls.json.meta

diff --git a/Assets/Scripts/GlobalBehaviour.cs b/Assets/Scripts/GlobalBehaviour.cs
index 946f7c25..8f2366fe 100644
--- a/Assets/Scripts/GlobalBehaviour.cs
+++ b/Assets/Scripts/GlobalBehaviour.cs
@@ -127,6 +127,8 @@ IEnumerator getScrollsfromServer()
                 $"Server\t{(answerTime - requestTime).TotalMilliseconds}ms\n" +
                 $"Download\t{(parseTime - answerTime).TotalMilliseconds}ms\n" +
                 $"Parsing\t{(System.DateTime.UtcNow - parseTime).TotalMilliseconds}ms");
+
+            yield break;
         }
     }
 }
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/FactWrapper/AttachedPositionFunctionBehaviour.cs b/Assets/Scripts/InteractionEngine/FactHandling/FactWrapper/AttachedPositionFunctionBehaviour.cs
index d7ea61c3..47098061 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/FactWrapper/AttachedPositionFunctionBehaviour.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/FactWrapper/AttachedPositionFunctionBehaviour.cs
@@ -96,7 +96,7 @@ void Update()
                 + f_t_to_pos[active_func_ind + 0].Domain.t_0;
         }
 
-        transform.position = (Vector3)f_t_to_pos[active_func_ind].Call(time)[0];
+        transform.position = (Vector3)f_t_to_pos[active_func_ind].Call(time);
         time += Time.deltaTime;
     }
 
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/AbstractAngleFact.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/AbstractAngleFact.cs
index 347f69e5..073bf9f3 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/AbstractAngleFact.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/AbstractAngleFact.cs
@@ -248,50 +248,58 @@ public override MMTFact MakeMMTDeclaration()
                 new OMS(MMTConstants.Ded),
                 new[] {
                     new OMA(
-                        new OMS(MMTConstants.RightAngle),
-                        new[]  {
-                            new OMS(Pid1),
-                            new OMS(Pid2),
-                            new OMS(Pid3),
-        }),});
+                        new OMS(MMTConstants.Eq),
+                        new SOMDoc[]{
+                            new OMS(MMTConstants.RealLit),
+                            new OMA(
+                                new OMS(MMTConstants.Angle),
+                                new[]  {
+                                    new OMS(Pid1),
+                                    new OMS(Pid2),
+                                    new OMS(Pid3),
+                            }),
+                            new OMF(90f),
+            }),});
 
         SOMDoc df = null;
 
         return new MMTGeneralFact(Label, tp, df);
-    }
-
-    /// \copydoc Fact.parseFact(ScrollFact)
-    public new static RightAngleFact parseFact(MMTFact fact)
-    {
-        if (((MMTGeneralFact)fact).type
-                is not OMA proof_OMA // proof DED
-            || proof_OMA.arguments[0]
-                is not OMA rightAngleOMA // rightAngle OMA
-            || rightAngleOMA.arguments[0]
-                is not OMS // rightAngle Arg0
-        )
-            return null;
-
-        string Point1Uri = ((OMS)rightAngleOMA.arguments[0]).uri;
-        string Point2Uri = ((OMS)rightAngleOMA.arguments[1]).uri;
-        string Point3Uri = ((OMS)rightAngleOMA.arguments[2]).uri;
-
-        if (!FactOrganizer.AllFacts.ContainsKey(Point1Uri)
-         || !FactOrganizer.AllFacts.ContainsKey(Point2Uri)
-         || !FactOrganizer.AllFacts.ContainsKey(Point3Uri))
-            return null;
+}
 
-        return new RightAngleFact(Point1Uri, Point2Uri, Point3Uri, fact.@ref.uri, StageStatic.stage.factState);
-    }
+/// \copydoc Fact.parseFact(ScrollFact)
+public new static RightAngleFact parseFact(MMTFact fact)
+{
+    if (((MMTGeneralFact)fact).type
+            is not OMA proof_OMA // proof DED
+        || proof_OMA.arguments[0]
+            is not OMA OMA_eq
+        || OMA_eq.arguments[1]
+            is not OMA rightAngleOMA // rightAngle OMA
+        || rightAngleOMA.arguments[0]
+            is not OMS // rightAngle Arg0
+    )
+        return null;
+
+    string Point1Uri = ((OMS)rightAngleOMA.arguments[0]).uri;
+    string Point2Uri = ((OMS)rightAngleOMA.arguments[1]).uri;
+    string Point3Uri = ((OMS)rightAngleOMA.arguments[2]).uri;
+
+    if (!FactOrganizer.AllFacts.ContainsKey(Point1Uri)
+     || !FactOrganizer.AllFacts.ContainsKey(Point2Uri)
+     || !FactOrganizer.AllFacts.ContainsKey(Point3Uri))
+        return null;
+
+    return new RightAngleFact(Point1Uri, Point2Uri, Point3Uri, fact.@ref.uri, StageStatic.stage.factState);
+}
 
-    /// \copydoc Fact.generateLabel
-    protected override string generateLabel()
-        => Point1.Label + Point2.Label + Point3.Label + "⊥";
+/// \copydoc Fact.generateLabel
+protected override string generateLabel()
+    => Point1.Label + Point2.Label + Point3.Label + "⊥";
 
-    /// \copydoc Fact.Equivalent(Fact, Fact)
-    protected override bool EquivalentWrapped(RightAngleFact f1, RightAngleFact f2)
-        => DependentFactsEquivalent(f1, f2);
+/// \copydoc Fact.Equivalent(Fact, Fact)
+protected override bool EquivalentWrapped(RightAngleFact f1, RightAngleFact f2)
+    => DependentFactsEquivalent(f1, f2);
 
-    protected override Fact _ReInitializeMe(Dictionary<string, string> old_to_new, FactOrganizer organizer)
-        => new RightAngleFact(old_to_new[this.Pid1], old_to_new[this.Pid2], old_to_new[this.Pid3], organizer);
+protected override Fact _ReInitializeMe(Dictionary<string, string> old_to_new, FactOrganizer organizer)
+    => new RightAngleFact(old_to_new[this.Pid1], old_to_new[this.Pid2], old_to_new[this.Pid3], organizer);
 }
\ No newline at end of file
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/Fact.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/Fact.cs
index 51d069cb..3c40a186 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/Fact.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/Fact.cs
@@ -20,7 +20,7 @@ public static class ParsingDictionary
         { MMTConstants.Angle,
             AngleFact.parseFact },
         { MMTConstants.Eq,
-            AngleFact.parseFact },
+            RightAngleFact.parseFact },
         { MMTConstants.RightAngle,
             RightAngleFact.parseFact },
         { MMTConstants.LineType,
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
index 2db3bcca..95efd1f2 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
@@ -35,12 +35,12 @@ public FunctionCallFact(string func_id, string arg_func_id, (float t_0, float t_
         _URI = func_id.ToString() + arg_func_id.ToString() + Domain.ToString();
     }
 
-    public object[] Call(float t)
+    public object Call(float t)
     {
         if (t < Domain.t_0 || t > Domain.t_n)
             return null;
 
-        return Function_in.Function(Function_args.Function(new object[] { t }));
+        return Function_in.Function(new object[] { Function_args.Function(new object[] { t }) });
     }
 
     public override bool HasDependentFacts
@@ -77,15 +77,11 @@ public class FunctionFact : FactWrappedCRTP<FunctionFact>
 {
     public SOMDoc Function_SOMDoc;
 
-    //TODO: doc
-    [JsonIgnore]
-    public LambdaExpression Function_expression;
-
     [JsonIgnore]
     public Type[] Signature;
 
     [JsonIgnore]
-    public Func<object[], object[]> Function;
+    public Func<object[], object> Function;
 
     /// <summary> \copydoc Fact.Fact </summary>
     public FunctionFact() : base() { }
@@ -100,14 +96,10 @@ public FunctionFact(SOMDoc Function_SOMDoc, FactOrganizer organizer) : base(orga
     {
         this.Function_SOMDoc = Function_SOMDoc;
 
-        this.Function_expression = this.Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
-        ////TODO: catch
-        //string debug_tostring = Function_expression.ToString();
-        //Delegate debug_function = Function_expression.Compile();
-        this.Function = this.Function_expression.Compile() as Func<object[], object[]>;
+        this.Function = this.Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
 
         //ducktaped:
-        _URI = this.Function_expression.ToString();
+        _URI = this.Function_SOMDoc.ToString();
 
         ////TODO: Function_SOMDoc+domain
 
@@ -131,11 +123,7 @@ public FunctionFact(SOMDoc Function_SOMDoc, string uri, FactOrganizer organizer)
     {
         this.Function_SOMDoc = Function_SOMDoc;
 
-        this.Function_expression = Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
-        ////TODO: catch
-        //string debug_tostring = Function_expression.ToString();
-        //dynamic debug_function = Function_expression.Compile();
-        this.Function = this.Function_expression.Compile() as Func<object[], object[]>;
+        this.Function = Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
 
         this._URI = uri;
         _ = this.Label;
@@ -164,7 +152,7 @@ protected override string[] GetGetDependentFactIds()
 
     /// \copydoc Fact.GetHashCode
     public override int GetHashCode()
-        => Function_expression.GetHashCode();
+        => Function.GetHashCode();
 
     /// \copydoc Fact.EquivalentWrapped
     protected override bool EquivalentWrapped(FunctionFact f1, FunctionFact f2)
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
index 45200add..e856e0c6 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
@@ -58,7 +58,7 @@ private void Init(string[] lids, SOMDoc[] payload, SOMDoc ElementType)
             if (this.payload.Length == 0)
                 throw new ArgumentException(nameof(ElementType) + " must not be null if ListFact is empty List!");
 
-            ElementType = payload[0].TypeOf();
+            ElementType = payload[0].SOMDocType();
         }
 
         this.ListType = new OMA(
@@ -110,27 +110,51 @@ public static List<T> parseFactList<T>(MMTFact decl)
             return null;
         }
 
-        List<SOMDoc> payload = new();
-        SOMDoc next_element = MMTSymbol.defines;
-        while (true)
-        {
-            if (next_element is not OMA current_element)
-                goto while_end;
+        List<SOMDoc> payload;
 
-            switch (current_element.arguments.Length)
+        if (MMTSymbol.defines is OMA OMAList
+         && OMAList.arguments.Length > 2)
+        { // TODO: check shallow List functionality
+            payload = OMAList.arguments.ToList();
+        }
+        else
+        {
+            payload = new();
+            SOMDoc next_element = MMTSymbol.defines;
+            int depth = 0;
+            while (true)
             {
-                case 2:
-                    payload.Add(current_element.arguments[1]);
-                    next_element = current_element.arguments[0];
+                ++depth;
+
+                if (next_element is not OMA current_element
+                 || current_element.applicant is not OMS OMSapp)
+                { // neither ListLiteral nor ListEnd
+                    if (depth > 3)
+                        throw new ArgumentException("Malformed List-Format");
+                    payload.Insert(0, next_element);
+
                     break;
+                }
 
-                case 0:
-                case 1:
-                default:
-                    goto while_end;
+                if (OMSapp.uri != MMTConstants.ListLiteral)
+                {
+                    if (OMSapp.uri != MMTConstants.ListEnd)
+                    { // neither ListLiteral nor ListEnd
+                        if (depth > 3)
+                            throw new ArgumentException("Malformed List-Format");
+                        payload.Insert(0, next_element);
+                    }
+
+                    break;
+                }
+
+                if (current_element.arguments.Length < 2)
+                    throw new ArgumentException("Unrecognized List-Format");
+
+                payload.Add(current_element.arguments[1]);
+                next_element = current_element.arguments[0];
             }
         }
-    while_end:
 
         return new(
             payload.Select(p => (p as OMS)?.uri).ToArray(),
@@ -232,7 +256,7 @@ protected override Fact _ReInitializeMe(Dictionary<string, string> old_to_new, F
     public override MMTFact MakeMMTDeclaration()
     {
         OMA Tupel = SOMDoc.MakeTupel(payload);
-        return new MMTGeneralFact(Label, Tupel.TypeOf(), Tupel);
+        return new MMTGeneralFact(Label, Tupel.SOMDocType(), Tupel);
     }
 
     protected override string[] GetGetDependentFactIds()
diff --git a/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator.cs b/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator.cs
index dd1e6497..38f4c816 100644
--- a/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator.cs
+++ b/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator.cs
@@ -47,54 +47,158 @@ public CanonBallProblemCalculator(List<Wall> walls, Vector3 starPos, Vector3 sta
         Compute();
     }
 
+    public static void LambdaCSDemo()
+    {
+        SOMDoc StepUntil()
+        {
+            SOMDoc Vec3 = new OMA(
+                new OMS(MMTConstants.TupelToVector),
+                new[] { new OMA(
+                    new OMS(MMTConstants.Product),
+                    new OMS[]{
+                        new(MMTConstants.RealLit),
+                        new(MMTConstants.RealLit),
+                        new(MMTConstants.RealLit),
+            })});
+
+            SOMDoc feed = new FUN(new FUN.Param[]
+                {
+                    new("feed", Vec3),
+                },
+                new OMA(
+                    new OMS(MMTConstants.AddRealLit),
+                    new SOMDoc[] {
+                        new OMV("feed"),
+                        SOMDoc.MakeVector3(new Vector3(1,2,3))
+            }));
+
+            SOMDoc pred = new FUN(new FUN.Param[]
+                {
+                    new("current", Vec3),
+                },
+                new OMA(
+                    new OMS(MMTConstants.LessThan),
+                    new SOMDoc[] {
+                        new OMA(
+                            new OMS(MMTConstants.PropertyX),
+                            new SOMDoc[]{
+                                new OMV("current")
+                        }),
+                        new OMF(10f)
+            }));
+
+            return new FUN(new FUN.Param[]
+                {
+                    new("seed", Vec3),
+                    //new("lambda", new FUNTYPE(
+                    //    new []{
+                    //        Vec3,
+                    //    },
+                    //    Vec3
+                    //)),
+                    //new("pred", new FUNTYPE(
+                    //   new [] { Vec3 },
+                    //   new OMS(MMTConstants.Bool)
+                    //)),
+                },
+                new OMA(
+                    new OMS(MMTConstants.ToArray),
+                    new OMA[]{ new(
+                        new OMS(MMTConstants.FeedForwardWhile),
+                        new[] {
+                            new OMV("seed"),
+                            feed, //new OMV("lambda"),
+                            pred, //new OMV("pred"),
+            })}));
+        }
+
+        Vector3[] StepUntil_results =
+            StepUntil()
+            .PartialInvokeCastingLambdaExpression(out Type[] signature_args0)
+            (new object[] { new Vector3(0, 0, 0) })
+            as Vector3[];
+        ;
+
+        SOMDoc TupelTest3 = SOMDoc.MakeTupel(new[] { new OMF(1), new OMF(2), new OMF(3) });
+        var TupelTest3_resutl =
+            TupelTest3
+            .PartialInvokeCastingLambdaExpression(out Type[] signature_argsT3)
+            (new object[0]);
+
+        SOMDoc vec3test = new OMA(new OMS(MMTConstants.TupelToVector), new[] { TupelTest3 });
+        var vec3test_resutl =
+            vec3test
+            .PartialInvokeCastingLambdaExpression(out Type[] signature_args2)
+            (new object[0]);
+        ;
+
+        SOMDoc ProjTest0 = new OMA(new OMS(MMTConstants.ProjL), new[] { TupelTest3 });
+        var ProjTest0_resutl =
+            ProjTest0
+            .PartialInvokeCastingLambdaExpression(out Type[] signature_args3)
+            (new object[0]);
+
+        SOMDoc ProjTest1 = new OMA(new OMS(MMTConstants.ProjR), new[] { TupelTest3 });
+        var ProjTest1_resutl =
+            ProjTest1
+            .PartialInvokeCastingLambdaExpression(out Type[] signature_args4)
+            (new object[0]);
+        ;
+    }
+
     private void Compute()
     {
         SOMDoc BuildOMA_XVA()
         {   //Pos = Pos + Vel * t + 0.5 * g * t**2
-            return 
-            new OMBINDC("Pos", typeof(Vector3),
-            new OMBINDC("Vel", typeof(Vector3),
-            new OMBINDC("Acc", typeof(Vector3),
-            new OMBINDC("t", "R",
+            return new FUN(new FUN.Param[]
+                {
+                    new("Pos", new OMS(MMTConstants.TYPE_TO_OMS[typeof(Vector3)])),
+                    new("Vel", new OMS(MMTConstants.TYPE_TO_OMS[typeof(Vector3)])),
+                    new("Acc", new OMS(MMTConstants.TYPE_TO_OMS[typeof(Vector3)])),
+                    new("t", new OMS(MMTConstants.TYPE_TO_OMS[typeof(float)])),
+                },
                 new OMA(
-                    new OMS(MMTConstants.Add),
+                    new OMS(MMTConstants.AddRealLit),
                     new SOMDoc[] {
                         new OMV("Pos"),
                         new OMA(
-                            new OMS(MMTConstants.Add),
+                            new OMS(MMTConstants.AddRealLit),
                             new[] {
                                 new OMA(
-                                    new OMS(MMTConstants.Multiply),
+                                    new OMS(MMTConstants.TimesRealLit),
                                     new[] {
                                         new OMV("Vel"),
                                         new OMV("t"),
                                     }
                                 ),
                                 new OMA(
-                                    new OMS(MMTConstants.Multiply),
+                                    new OMS(MMTConstants.TimesRealLit),
                                     new SOMDoc[] {
                                         new OMF(0.5f),
                                         new OMA(
-                                            new OMS(MMTConstants.Multiply),
+                                            new OMS(MMTConstants.TimesRealLit),
                                             new SOMDoc[] {
                                                 new OMV("Acc"),
                                                 new OMA(
-                                                    new OMS(MMTConstants.Multiply),
+                                                    new OMS(MMTConstants.TimesRealLit),
                                                     new[] {
                                                         new OMV("t"),
                                                         new OMV("t"),
-            }),}),}),}),})))));
+            }),}),}),}),}));
         }
-        
+
         SOMDoc BuildOMAPath(Vector3 Pos, Vector3 Vel)
         {   //t -> [Pos, Vel, g, t]
-            return new OMBINDC("t", "R",
+            return new FUN(new FUN.Param[]
+                {
+                    new("t", new OMS(MMTConstants.TYPE_TO_OMS[typeof(float)])),
+                },
                 new OMA(
                     new OMS(MMTConstants.MakeObjectArray),
                     new SOMDoc[] {
-                        SOMDoc.MakeTupel(Pos),
-                        SOMDoc.MakeTupel(Vel),
-                        SOMDoc.MakeTupel(Gravity),
+                        SOMDoc.MakeVector3(Pos),
+                        SOMDoc.MakeVector3(Vel),
+                        SOMDoc.MakeVector3(Gravity),
                         new OMV("t"),
                     }
             ));
@@ -121,15 +225,15 @@ Vector3 UpdateVel(Vector3 Vel, float t)
             double
                 a = 0.5 * (Gravity[Dim_A] * Top.Dir[Dim_B] - Gravity[Dim_B] * Top.Dir[Dim_A]),
                 b = Vel[Dim_A] * Top.Dir[Dim_B] - Vel[Dim_B] * Top.Dir[Dim_A],
-                c = - Pos[Dim_B] * Top.Dir[Dim_A] + Pos[Dim_A] * Top.Dir[Dim_B]
+                c = -Pos[Dim_B] * Top.Dir[Dim_A] + Pos[Dim_A] * Top.Dir[Dim_B]
                     + Top.Point1.Point[Dim_B] * Top.Dir[Dim_A] - Top.Point1.Point[Dim_A] * Top.Dir[Dim_B];
 
-            if(a == 0)
-                return ((float) (-c/b), -1);
+            if (a == 0)
+                return ((float)(-c / b), -1);
 
             float
-                t1 = (float) ((-b + Math.Sqrt(b * b - 4 * a * c)) / (2 * a)),
-                t2 = (float) ((-b - Math.Sqrt(b * b - 4 * a * c)) / (2 * a));
+                t1 = (float)((-b + Math.Sqrt(b * b - 4 * a * c)) / (2 * a)),
+                t2 = (float)((-b - Math.Sqrt(b * b - 4 * a * c)) / (2 * a));
 
             return (t1, t2);
         };
@@ -160,7 +264,7 @@ float SolveForDistanceOnPlane(Vector3 Pos, Vector3 Vel, LineFact Top, float t)
 
         for (int i = 0; i < MaxIter; i++)
         {
-            pos = UpdatePos(pos, vel, (float) Math3d.vectorPrecission); //minimum step
+            pos = UpdatePos(pos, vel, (float)Math3d.vectorPrecission); //minimum step
 
             var hits = Walls
                 .Select(w => (w, tarr: SolveForTime(pos, vel, w.Topology)))
@@ -171,8 +275,8 @@ float SolveForDistanceOnPlane(Vector3 Pos, Vector3 Vel, LineFact Top, float t)
                 .OrderBy(wt => wt.t)
                 .ToArray();
 
-            (Wall next_Wall, float next_t, float x_fac_debug) = hits.Length > 0 
-                ? hits[0] 
+            (Wall next_Wall, float next_t, float x_fac_debug) = hits.Length > 0
+                ? hits[0]
                 : (default(Wall), float.PositiveInfinity, default);
 
             Result_ArgsFunc_Id.Add(
diff --git a/Assets/Scripts/InventoryStuff/ScrollDetails.cs b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
index 61bb062c..1092399b 100644
--- a/Assets/Scripts/InventoryStuff/ScrollDetails.cs
+++ b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
@@ -26,11 +26,11 @@ public static ScrollDetails Instance
 
     public WorldCursor cursor;
     public GameObject parameterDisplayPrefab;
-    public Scroll ActiveScroll;
+    public static Scroll ActiveScroll { get; private set; }
     public GameObject mmtAnswerPopUp;
     private PopupBehavior Popup;
 
-    public static List<RenderedScrollFact> ParameterDisplays;
+    public static List<RenderedScrollFact> ParameterDisplays { get; private set; }
     private static List<ScrollAssignment> LatestBackwartsCompletions;
     private static List<Fact> LatestRenderedHints;
 
@@ -87,6 +87,10 @@ public void SetScroll(Scroll scroll_to_set)
         ParameterDisplays = new();
         for (int i = 0; i < ActiveScroll.requiredFacts.Count; i++)
         {
+            if (ActiveScroll.requiredFacts[i] is MMTGeneralFact general
+             && general.type is FUNTYPE)
+                continue;
+
             GameObject originalObj =
                 Instantiate(parameterDisplayPrefab, originalViewport.GetChild(0));
 
@@ -99,14 +103,7 @@ public void SetScroll(Scroll scroll_to_set)
         }
 
         foreach (int i in PrePopulateActiveScroll())
-            ParameterDisplays[i].gameObject.SetActive(false);
-
-        //set active scroll for ErrorMessagePopup
-        if (Popup != null)
-        {
-            Popup.ActiveScroll = ActiveScroll;
-            Popup.ParameterDisplays = ParameterDisplays;
-        }
+            ParameterDisplays[i].transform.parent.gameObject.SetActive(false);
     }
 
     public bool SetNextEmptyTo(FactObjectUI activator)
@@ -141,20 +138,20 @@ private int[] PrePopulateActiveScroll()
     {
         switch (ActiveScroll.ScrollReference)
         {
-            case MMTConstants.ScrollCannonBall:
-                string lid_override = StageStatic.stage.solution.MyFactSpace.Values
-                    .FirstOrDefault(sol => sol is ListFact lf 
-                                        && lf.ListType is OMA tpOMA 
-                                        && tpOMA.arguments[0] is OMA tupelOMA 
-                                        && tupelOMA.applicant is OMS tupelOMS
-                                        && tupelOMS.uri == MMTConstants.Tuple)
-                    ?.Id;
+            //case MMTConstants.ScrollCannonBall:
+            //    string lid_override = StageStatic.stage.solution.MyFactSpace.Values
+            //        .FirstOrDefault(sol => sol is ListFact lf
+            //                            && lf.ListType is OMA tpOMA
+            //                            && tpOMA.arguments[0] is OMA tupelOMA
+            //                            && tupelOMA.applicant is OMS tupelOMS
+            //                            && tupelOMS.uri == MMTConstants.Product)
+            //        ?.Id;
 
-                if (lid_override == null)
-                    goto default;
+            //    if (lid_override == null)
+            //        goto default;
 
-                ParameterDisplays[2].URI = lid_override;
-                return new int[] { 2 };
+            //    ParameterDisplays[2].URI = lid_override;
+            //    return new int[] { 2 };
 
             default:
                 return new int[0];
@@ -192,8 +189,10 @@ IEnumerator _MagicButton()
                     ScrollApplicationCheckingErrorEvent.Invoke(pushout.errors);
                     PushoutFactFailEvent.Invoke();
                 }
+                else
+                    Popup.HidePopUp(); //close error Window
 
-                ReadPushout(pushout.acquiredFacts);
+                GeneratePushoutFacts(pushout.acquiredFacts);
             }
         }
     }
@@ -272,7 +271,7 @@ private IEnumerator SendView(string endpoint)
         }
         else
         {
-            while(!www.downloadHandler.isDone)
+            while (!www.downloadHandler.isDone)
                 yield return null;
 
             currentMmtAnswer = www.downloadHandler.text
@@ -302,33 +301,34 @@ string prepareScrollAssignments()
 
             return JsonConvert.SerializeObject(new ScrollApplication(
                 MMTConstants.ScrollCannonBall,
-                new() { 
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?xposition",
+                new() {
+                    new(MMTConstants.ScrollCannonBall + "/Problem?xposition",
                         Fact.SendToMMT(new MMTGeneralFact("PX", new OMS(MMTConstants.RealLit),
                         new OMF(18.639f)))),
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?yposition",
+                    new(MMTConstants.ScrollCannonBall + "/Problem?yposition",
                         Fact.SendToMMT(new MMTGeneralFact("PY", new OMS(MMTConstants.RealLit),
                         new OMF(14.715f)))),
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?xvelocity",
+                    new(MMTConstants.ScrollCannonBall + "/Problem?xvelocity",
                         Fact.SendToMMT(new MMTGeneralFact("VX", new OMS(MMTConstants.RealLit),
                         new OMF(-24.0345f)))),
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?yvelocity",
+                    new(MMTConstants.ScrollCannonBall + "/Problem?yvelocity",
                         Fact.SendToMMT(new MMTGeneralFact("VY", new OMS(MMTConstants.RealLit),
                         new OMF(7.3575f)))),
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?g_base",
+                    new(MMTConstants.ScrollCannonBall + "/Problem?g_base",
                         Fact.SendToMMT(new MMTGeneralFact("GG", new OMS(MMTConstants.RealLit),
                         new OMF(9.81f)))),
-                    new("http://mathhub.info/FrameIT/frameworld?BouncingScroll/Problem?walls",
+                    new(MMTConstants.ScrollCannonBall + "/Problem?bounce",
+                        Fact.SendToMMT(new MMTGeneralFact("BO", new OMS(MMTConstants.RealLit),
+                        new OMF(1f)))),
+                    new(MMTConstants.ScrollCannonBall + "/Problem?walls",
                         lid_override),
                 }
             ));
         }
     }
 
-    private void ReadPushout(List<MMTFact> pushoutFacts)
+    private void GeneratePushoutFacts(List<MMTFact> pushoutFacts)
     {
-        Popup.HidePopUp(); //close error Window
-
         bool samestep = false;
         for (int i = 0; i < pushoutFacts.Count; i++)
         {
diff --git a/Assets/Scripts/Loading/LoadingScreenPercentage.cs b/Assets/Scripts/Loading/LoadingScreenPercentage.cs
index 7ddd5282..bee09c9e 100644
--- a/Assets/Scripts/Loading/LoadingScreenPercentage.cs
+++ b/Assets/Scripts/Loading/LoadingScreenPercentage.cs
@@ -8,7 +8,7 @@
 /// </summary>
 public class LoadingScreenPercentage : MonoBehaviour
 {
-    public float maxFrameIncrease = 100f / 100;
+    public float maxFrameIncrease = 100f / 100f;
     private float currentValue;
 
     void Start()
@@ -24,6 +24,7 @@ void Update()
 
     private void OnDestroy()
     {
+        UpdateText();
         Loader.PostLoad();
     }
 
diff --git a/Assets/Scripts/MMTServer.meta b/Assets/Scripts/MMTServer.meta
new file mode 100644
index 00000000..09a6222a
--- /dev/null
+++ b/Assets/Scripts/MMTServer.meta
@@ -0,0 +1,8 @@
+fileFormatVersion: 2
+guid: 9a0509181ef9e9646845d41ea55972ff
+folderAsset: yes
+DefaultImporter:
+  externalObjects: {}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll.meta b/Assets/Scripts/MMTServer/CommunicationProtocoll.meta
new file mode 100644
index 00000000..a564d8d8
--- /dev/null
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll.meta
@@ -0,0 +1,8 @@
+fileFormatVersion: 2
+guid: 73b9de1db6af653418fcbb0d9fa1240c
+folderAsset: yes
+DefaultImporter:
+  externalObjects: {}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs b/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs
index 609c662c..b632bd3c 100644
--- a/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs
@@ -17,6 +17,7 @@ public static class MMTConstants
         public static readonly string Angle = "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between";
         public static readonly string Sketch = "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch";
         public static readonly string RealLit = "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit";
+        public static readonly string Bool = "?Bool";
 
         public static readonly string ParallelLine = "http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine";
         //public static readonly string RectangleFact = "http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleType";
@@ -59,15 +60,28 @@ public static class MMTConstants
         public static readonly string ListLiteral = "http://gl.mathhub.info/MMT/LFX/Datatypes?ListSymbols?cons";
         public static readonly string ListEnd = "http://gl.mathhub.info/MMT/LFX/Datatypes?ListSymbols?nil_constant";
 
+        public static readonly string AddRealLit = "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit";
+        public static readonly string TimesRealLit = "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit";
+        public static readonly string ProjL = "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl";
+        public static readonly string ProjR = "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr";
+
+        public static readonly string PartialAggregate = "?Step";
+        public static readonly string FeedForwardWhile = "?StepUntil";
+        public static readonly string Predicate = "?Pred";
+        public static readonly string ToArray = "?ToArray";
+
         public static readonly string Sin = "Sin";
         public static readonly string Cos = "Cos";
-        public static readonly string Add = "Add";
         public static readonly string Divide = "Divide";
-        public static readonly string Multiply = "Multiply";
         public static readonly string Subtract = "Subtract";
         public static readonly string SquareRoot = "SquareRoot";
+        public static readonly string LessThan = "LessThan";
         //public static readonly string MakeUnityEngineVector3 = "UnityEngine.Vector3";
         public static readonly string MakeObjectArray = "MakeObjectArray";
+        public static readonly string PropertyX = "x";
+        public static readonly string PropertyY = "y";
+        public static readonly string PropertyZ = "z";
+        public static readonly string TupelToVector = "TupelToVector";
 
 
         public const string ScrollOppositeLen = "http://mathhub.info/FrameIT/frameworld?OppositeLen";
@@ -82,7 +96,7 @@ public static class MMTConstants
         public const string ScrollCircleAreaScroll = "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll";
         public const string ScrollConeVolumeScroll = "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll";
         public const string ScrollTruncatedConeVolumeScroll = "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll";
-        public const string ScrollCannonBall = "http://mathhub.info/FrameIT/frameworld?BouncingScroll";
+        public const string ScrollCannonBall = "http://mathhub.info/FrameIT/frameworld?WBouncingScroll";
 
         public static readonly IReadOnlyDictionary<string, Type> OMS_TO_TYPE = new Dictionary<string, Type>()
         {
@@ -93,7 +107,7 @@ public static class MMTConstants
             { Angle,
                 typeof(AngleFact) },
             { Eq,
-                typeof(AngleFact) },
+                typeof(RightAngleFact) },
             { RightAngle,
                 typeof(RightAngleFact) },
             { LineType,
@@ -139,9 +153,16 @@ public static class MMTConstants
                 typeof(float) },
             { Tuple,
                 typeof(TupelFact) },
+            { Product,
+                typeof(Tuple) },
+            { TupelToVector,
+                typeof(Vector3) },
             { ListType,
                 typeof(List<>) },
 
+            { AddRealLit,
+                typeof(float) }, //typeof(Func<,,>).MakeGenericType(typeof(float), typeof(float), typeof(float))
+
             { MkCircle3d, null }, //typeof(CircleFact) },
             { ConeOfCircleApex, null }, //typeof(ConeVolumeFact) },
 
@@ -172,12 +193,16 @@ public static class MMTConstants
         public static readonly IReadOnlyDictionary<string, string> URI_TO_TypeOF = new Dictionary<string, string> {
             { MkCircle3d,
                 CircleType3d },
+            { LineOf,
+                LineType },
         };
         public static readonly IReadOnlyDictionary<string, string> TypeOF_TO_URI = URI_TO_TypeOF.ReverseKeyVal();
 
         public static readonly IReadOnlyDictionary<string, string> HeterogenApplication_TO_TypeOF = new Dictionary<string, string> {
             { Tuple,
                 Product },
+            { Product,
+                Product },
         };
         public static readonly IReadOnlyDictionary<string, string> TypeOF_TO_HeterogenApplication = HeterogenApplication_TO_TypeOF.ReverseKeyVal();
 
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs.meta b/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs.meta
new file mode 100644
index 00000000..ecf6f45c
--- /dev/null
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: d817edf8813eb6b48ac146dff4227948
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
index ccf4ea2e..2a770a71 100644
--- a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
@@ -3,6 +3,8 @@
 using System;
 using System.Linq;
 using UnityEngine;
+using System.Reflection;
+using MoreLinq;
 
 namespace REST_JSON_API
 {
@@ -34,11 +36,29 @@ protected static class SOMDocToLambdaExpression<T>
                 InsertFrontListLiteral },
             { MMTConstants.ListType,
                 Identity0 },
+            { MMTConstants.ProjL,
+                GetPropertyOrField("Item1") },
+            { MMTConstants.ProjR,
+                ProjRTupel },
+            { MMTConstants.FeedForwardWhile,
+                CallAnyFunction(false, "FeedForwardWhile", typeof(IEnumerableExtensions)) },
+            { MMTConstants.PartialAggregate,
+                CallAnyFunction(false, "PartialAggregate", typeof(IEnumerableExtensions)) },
+            { MMTConstants.ToArray,
+                CallAnyFunction(false, "ToArray", typeof(Enumerable)) },
+            { MMTConstants.PropertyX,
+                GetPropertyOrField("x") },
+            { MMTConstants.PropertyY,
+                GetPropertyOrField("y") },
+            { MMTConstants.PropertyZ,
+                GetPropertyOrField("z") },
+            { MMTConstants.TupelToVector,
+                TupelToVector },
         };
 
             private static readonly Dictionary<string, ExpressionType> MMTtoBinaryExpressionType = new()
         {
-            { MMTConstants.Add,
+            { MMTConstants.AddRealLit,
                 ExpressionType.Add},
             { "AddAssign",
                 ExpressionType.AddAssign},
@@ -72,7 +92,7 @@ protected static class SOMDocToLambdaExpression<T>
                 ExpressionType.LeftShift},
             { "LeftShiftAssign",
                 ExpressionType.LeftShiftAssign},
-            { "LessThan",
+            { MMTConstants.LessThan,
                 ExpressionType.LessThan},
             { "LessThanOrEqual",
                 ExpressionType.LessThanOrEqual},
@@ -80,7 +100,7 @@ protected static class SOMDocToLambdaExpression<T>
                 ExpressionType.Modulo},
             { "ModuloAssign",
                 ExpressionType.ModuloAssign},
-            { MMTConstants.Multiply,
+            { MMTConstants.TimesRealLit,
                 ExpressionType.Multiply},
             { "MultiplyAssign",
                 ExpressionType.MultiplyAssign},
@@ -186,7 +206,7 @@ void ThrowArgumentException(ExpressionType expression_cast, int expected)
                     return Expression.Lambda(Expression.MakeBinary(binary_type, lambda_applicant[0].Body, lambda_applicant[1].Body), found_bound_params);
                 }
                 else
-                if (MMTtoLambdaMaker.TryGetValue(URI, out var lamda_maker))
+                if (MMTtoLambdaMaker.TryGetValue(URI, out CustomFunction lamda_maker))
                 {
                     return lamda_maker(lambda_applicant, lambda_arguments, found_bound_params);
                 }
@@ -223,17 +243,53 @@ private static LambdaExpression MakeCos(LambdaExpression[] lambda_applicant, Lam
                         "Cos", lambda_arguments.Length > 0 ? lambda_arguments : lambda_applicant, bound_params, 1
                     );
 
+            private static LambdaExpression ProjRTupel(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+            {
+                LambdaExpression[] Items_applicant = 
+                    lambda_applicant[0].ReturnType.GetProperties()
+                    .OrderBy(fi => fi.Name)
+                    .Skip(1) // Item1
+                    .Select(fi =>
+                        Expression.Lambda(
+                            Expression.Property(lambda_applicant[0].Body, fi),
+                            bound_params))
+                    .ToArray();
+
+                return MakeTupel(Items_applicant, lambda_arguments, bound_params);
+            }
+
             private static LambdaExpression MakeTupel(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+            {
+                Type[] genericTypes = new Type[lambda_applicant.Length];
+                for (int i = 0; i < lambda_applicant.Length; i++)
+                    genericTypes[i] = Type.MakeGenericMethodParameter(i);
+
+                MethodInfo create = typeof(Tuple)
+                    .GetMethod("Create", genericTypes)
+                    .MakeGenericMethod(lambda_applicant.Select(l => l.ReturnType).ToArray());
+
+                return Expression.Lambda(
+                    Expression.Call(create, lambda_applicant.Select(l => l.Body)),
+                    bound_params
+                );
+            }
+
+            private static LambdaExpression TupelToVector(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
             {
                 if (lambda_applicant.Length == 3
                  && lambda_applicant.All(l => l.ReturnType == typeof(float)))
 
                     return ExpresionFuncToLambda(
-                             (Expression<Func<float, float, float, Vector3>>)((x, y, z) => new Vector3(x, y, z)),
-                             "UnityEngineVector3", lambda_applicant, bound_params, 3
-                         );
+                                (Expression<Func<float, float, float, Vector3>>)((x, y, z) => new Vector3(x, y, z)),
+                                "UnityEngineVector3", lambda_applicant, bound_params, 3
+                            );
+                else
 
-                return MakeObjArray(lambda_applicant, lambda_arguments, bound_params);
+                    return ExpresionFuncToLambda(
+                                (Expression<Func<Tuple<float, float, float>, Vector3>>)
+                                    (tupel => new Vector3(tupel.Item1, tupel.Item2, tupel.Item3)),
+                                "TupelToUnityEngineVector3", lambda_applicant, bound_params, 1
+                            );
             }
 
             private static LambdaExpression MakeObjArray(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
@@ -257,8 +313,8 @@ private static LambdaExpression MakeInstantList(LambdaExpression[] lambda_applic
             private static LambdaExpression InsertFrontListLiteral(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
                 => Expression.Lambda(
                         Expression.Call(
-                            lambda_applicant[0].Body,
                             lambda_applicant[0].ReturnType.GetMethod("Insert"),
+                            lambda_applicant[0].Body,
                             Expression.Constant(0, typeof(int)),
                             lambda_applicant[1].Body
                         ),
@@ -267,13 +323,84 @@ private static LambdaExpression InsertFrontListLiteral(LambdaExpression[] lambda
 
             private static LambdaExpression MakeListEnd(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
                 => Expression.Lambda(
-                        Expression.New(typeof(List<>).MakeGenericType(lambda_applicant[0].ReturnType)),
-                        null
+                        Expression.New(typeof(List<>).MakeGenericType(lambda_applicant[0].ReturnType))
                     );
 
             private static LambdaExpression Identity0(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
                 => lambda_applicant[0];
 
+            private static LambdaExpression Index0(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+                => Expression.Lambda(
+                        Expression.ArrayIndex(lambda_applicant[0].Body, Expression.Constant(0))
+                    );
+
+            private static LambdaExpression Tail(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+            {
+                LambdaExpression enumerated =
+                    CallAnyFunction(false, "Skip", typeof(Enumerable),
+                        new[] { (1u, Expression.Lambda(Expression.Constant(1, typeof(int)))) }
+                    )(lambda_applicant, lambda_arguments, bound_params);
+
+                return CallAnyFunction(false, "ToArray", typeof(Enumerable))(new[] { enumerated }, null, bound_params);
+            }
+
+            private static CustomFunction CallAnyFunction(bool self, string method_name, Type type = null, (uint, LambdaExpression)[] lambda_manual = null)
+                => (LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params) =>
+                {
+                    type ??= lambda_applicant[0].ReturnType;
+
+                    LambdaExpression[] lambda_args_new = lambda_applicant
+                        .Skip(self ? 1 : 0)
+                        .AppendRangeAt(lambda_manual)
+                        .ToArray();
+
+                    Expression[] call_args = lambda_args_new
+                        .Select(l => l.Body)
+                        .ToArray();
+
+                    Type[] lambda_args_type = lambda_args_new
+                        .Select(l => l.ReturnType)
+                        .ToArray();
+
+                    MethodInfo call_method =  // type.method_name
+                        type.GetMethod(method_name, lambda_args_type);
+
+                    if (call_method == null)
+                    {
+                        call_method = type.GetMethod(method_name);
+
+                        if (call_method == null)
+                            throw new Exception($"Could not find method \"{method_name}\" in Type \"{type}\" and Type Signature [{lambda_args_type}]");
+
+                        if (call_method.IsGenericMethod)
+                        {
+                            Type[] distinct_types = lambda_args_type
+                                .SelectMany(l =>
+                                    !l.IsGenericType
+                                    ? new Type[] { l }
+                                    : l.GetGenericArguments())
+                                .Distinct()
+                                .ToArray();
+
+                            int n_generics = call_method.GetGenericArguments().Length;
+                            call_method = call_method.MakeGenericMethod(distinct_types[0..n_generics]);
+                        }
+                    }
+
+                    return Expression.Lambda(
+                        self
+                            ? Expression.Call(lambda_applicant[0].Body, call_method, call_args)
+                            : Expression.Call(call_method, call_args),
+                        bound_params
+                    );
+                };
+
+            private static CustomFunction GetPropertyOrField(string property_name)
+                => (LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+                => Expression.Lambda(
+                        Expression.PropertyOrField(lambda_applicant[0].Body, property_name),
+                        bound_params
+                    );
         }
     }
 }
\ No newline at end of file
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs
index c90ab807..9fda495a 100644
--- a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs
@@ -15,8 +15,10 @@ namespace REST_JSON_API
     [JsonSubtypes.KnownSubType(typeof(OMS), "OMS")]
     [JsonSubtypes.KnownSubType(typeof(OMSTR), "OMSTR")]
     [JsonSubtypes.KnownSubType(typeof(OMF), "OMF")]
-    [JsonSubtypes.KnownSubType(typeof(OMV), "OMV")]
+    [JsonSubtypes.KnownSubType(typeof(OMV), "VAR")]
     [JsonSubtypes.KnownSubType(typeof(RAW), "RAW")]
+    [JsonSubtypes.KnownSubType(typeof(FUN), "FUN")]
+    [JsonSubtypes.KnownSubType(typeof(FUNTYPE), "FUNTYPE")]
     //[JsonSubtypes.KnownSubType(typeof(OMC<T>), "OMC<" + typeof(T) + ">")]
     [JsonSubtypes.KnownSubType(typeof(OMC<Vector3>), "OMC<UnityEngine.Vector3>")]
     [JsonSubtypes.KnownSubType(typeof(OMC<float>), "OMC<System.Single>")]
@@ -27,10 +29,15 @@ abstract public partial class SOMDoc
 
         protected SOMDoc() { kind = this.GetType().Name; }
 
-        public SOMDoc TypeOf()
-            => TypeOf(new SOMDoc[0]);
+        public SOMDoc SOMDocType()
+            => SOMDocType(new SOMDoc[0]);
 
-        protected internal abstract SOMDoc TypeOf(SOMDoc[] args);
+        protected internal abstract SOMDoc SOMDocType(SOMDoc[] args);
+
+        public Type ToType()
+            => ToType(new Type[0]);
+
+        protected internal abstract Type ToType(Type[] args);
 
         public static bool Equivalent(SOMDoc sd1, SOMDoc sd2)
             => sd1 != null && sd2 != null
@@ -38,9 +45,11 @@ public static bool Equivalent(SOMDoc sd1, SOMDoc sd2)
 
         public abstract bool Equivalent(SOMDoc sd2);
 
-        public LambdaExpression PartialInvokeCastingLambdaExpression(out Type[] signature_args, object[] callArgs = null, bool[] useArgs = null)
+        public Func<object[], object> PartialInvokeCastingLambdaExpression(out Type[] signature_args, object[] callArgs = null, bool[] useArgs = null)
         {
             LambdaExpression lambda_orig = GetLambdaExpression();
+            if (lambda_orig.Body is LambdaExpression)
+                lambda_orig = lambda_orig.Body as LambdaExpression;
 
             signature_args = new Type[lambda_orig.Parameters.Count + 1];
 
@@ -72,17 +81,20 @@ public LambdaExpression PartialInvokeCastingLambdaExpression(out Type[] signatur
             signature_args[n_params] = lambda_orig.ReturnType;
             signature_args = signature_args.Slice(0, n_params + 1).ToArray();
 
-            return Expression.Lambda(
-                typeof(Array).IsAssignableFrom(lambda_orig.ReturnType)
-                    ? Expression.Convert(
-                        Expression.Invoke(lambda_orig, cast_new_to_signature),
-                        typeof(object[]))
-                    : Expression.NewArrayInit(
-                        typeof(object),
-                        new Expression[] { Expression.Convert(Expression.Invoke(lambda_orig, cast_new_to_signature), typeof(object)) }),
-
-                object_arr
+            LambdaExpression final_expression =
+                Expression.Lambda(
+                        /*typeof(Array).IsAssignableFrom(lambda_orig.ReturnType)
+                            ?*/ Expression.Convert(
+                            Expression.Invoke(lambda_orig, cast_new_to_signature),
+                            typeof(object)),
+                    //: Expression.NewArrayInit(
+                    //    typeof(object),
+                    //    new Expression[] { Expression.Convert(Expression.Invoke(lambda_orig, cast_new_to_signature), typeof(object)) }),
+
+                    object_arr
                 );
+
+            return final_expression.Compile() as Func<object[], object>;
         }
 
         public LambdaExpression GetLambdaExpression()
@@ -95,12 +107,15 @@ public LambdaExpression GetLambdaExpression()
         public abstract SOMDoc MapURIs(Dictionary<string, string> old_to_new);
 
         #region MakeMMT_OMS_URItoSOMDoc
-        public static OMA MakeTupel(Vector3 vec)
-            => MakeTupel(new[] {
-                        new OMF(vec.x),
-                        new OMF(vec.y),
-                        new OMF(vec.z),
-                });
+        public static OMA MakeVector3(Vector3 vec)
+            => new OMA(
+                    new OMS(MMTConstants.TupelToVector),
+                    new[]{
+                        MakeTupel(new[] {
+                            new OMF(vec.x),
+                            new OMF(vec.y),
+                            new OMF(vec.z),
+                })});
 
         public static OMA MakeTupel(SOMDoc[] args)
             => new(
@@ -171,6 +186,116 @@ public override SOMDoc MapURIs(Dictionary<string, string> old_to_new)
         protected abstract T MapURIsWrapped(Dictionary<string, string> old_to_new);
     }
 
+    public class FUNTYPE : SOMDocCRTP<FUNTYPE>
+    {
+        public new string kind = "FUNTYPE";
+
+        public SOMDoc[] @params;
+
+        public SOMDoc ret;
+
+        [JsonConstructor]
+        public FUNTYPE(SOMDoc[] @params, SOMDoc ret)
+        {
+            this.@params = @params;
+            this.ret = ret;
+        }
+
+        public override string ToString()
+            => "["
+            + string.Join(", ", @params.Select(p => p.ToString()))
+            + "] => {"
+            + ret.ToString()
+            + "}";
+
+        protected override bool EquivalentWrapped(FUNTYPE sd2)
+            => @params.Length == sd2.@params.Length
+            && @params.Zip(sd2.@params, (a, b) => a.Equivalent(b))
+                      .All(b => b)
+            && ret.Equivalent(sd2.ret);
+
+        protected override FUNTYPE MapURIsWrapped(Dictionary<string, string> old_to_new)
+            => new(@params.Select(p => p.MapURIs(old_to_new)).ToArray()
+                 , ret.MapURIs(old_to_new));
+
+        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+        {
+            throw new NotImplementedException();
+        }
+
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
+        {
+            throw new NotImplementedException();
+        }
+
+        protected internal override Type ToType(Type[] args)
+            => typeof(Func<>).MakeGenericType(Enumerable.Append(@params.Select(p => p.ToType()), ret.ToType()).ToArray());
+    }
+
+    public class FUN : SOMDocCRTP<FUN>
+    {
+        public new string kind = "FUN";
+
+        public Param[] @params;
+
+        public SOMDoc body;
+
+        [JsonConstructor]
+        public FUN(Param[] @params, SOMDoc body)
+        {
+            this.@params = @params;
+            this.body = body;
+        }
+
+        public class Param
+        {
+            public string name;
+            public SOMDoc tp;
+
+            [JsonConstructor]
+            public Param(string name, SOMDoc tp)
+            {
+                this.name = name;
+                this.tp = tp;
+            }
+        }
+
+        public override string ToString()
+            => "["
+            + string.Join(", ", @params.Select(p => p.name + "(" + p.tp.ToString() + ")"))
+            + "] => {"
+            + body.ToString()
+            + "}";
+
+        protected override bool EquivalentWrapped(FUN sd2)
+            => @params.Length == sd2.@params.Length
+            && @params.Zip(sd2.@params, (a, b) => a.name.Equals(b.name)
+                                               && a.tp.Equivalent(b.tp))
+                      .All(b => b)
+            && body.Equivalent(sd2.body);
+
+        protected override FUN MapURIsWrapped(Dictionary<string, string> old_to_new)
+            => new(@params.Select(p => new Param(p.name, p.tp.MapURIs(old_to_new))).ToArray()
+                 , body.MapURIs(old_to_new));
+
+        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+        {
+            ParameterExpression[] bind_me = bound_params.ShallowCloneAppend(
+                @params.Select(p => Expression.Parameter(p.tp.ToType(), p.name)).ToArray()
+            );
+
+            return Expression.Lambda(
+                body.GetLambdaExpression(lambda_applicant, lambda_arguments, bind_me),
+                bound_params);
+        }
+
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
+            => new FUNTYPE(@params.Select(p => p.tp.SOMDocType()).ToArray(), body.SOMDocType());
+
+        protected internal override Type ToType(Type[] args)
+            => SOMDocType().ToType();
+    }
+
     public class OMBINDC : SOMDocCRTP<OMBINDC>
     {
         public new string kind = "OMBINDC";
@@ -198,7 +323,7 @@ public OMBINDC(string name, string typeString, SOMDoc lambdabody) : base()
             this.lambdabody = lambdabody;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => throw new NotImplementedException();
 
         public OMBINDC(string name, Type type, SOMDoc lambdabody) : base()
@@ -227,6 +352,11 @@ public override string ToString()
 
         protected override OMBINDC MapURIsWrapped(Dictionary<string, string> old_to_new)
             => new(name, type, lambdabody.MapURIs(old_to_new));
+
+        protected internal override Type ToType(Type[] args)
+        {
+            throw new NotImplementedException();
+        }
     }
 
     public class OMA : SOMDocCRTP<OMA>
@@ -243,8 +373,8 @@ public OMA(SOMDoc applicant, SOMDoc[] arguments) : base()
             this.arguments = arguments;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
-            => applicant.TypeOf(arguments.Select(a => a.TypeOf()).ToArray());
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
+            => applicant.SOMDocType(arguments.Select(a => a.SOMDocType()).ToArray());
 
         protected override bool EquivalentWrapped(OMA sd2)
             => Equivalent(this.applicant, sd2.applicant)
@@ -252,10 +382,10 @@ protected override bool EquivalentWrapped(OMA sd2)
                 .Zip(sd2.arguments, (arg1, arg2) => Equivalent(arg1, arg2))
                 .All(b => b);
 
-        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_applicant_paps, LambdaExpression[] lambda_applicant_grands, ParameterExpression[] bound_params)
+        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_arguments_paps, LambdaExpression[] lambda_arguments_grands, ParameterExpression[] bound_params)
             => applicant.GetLambdaExpression(
                 arguments.Select(arg => arg.GetLambdaExpression(new LambdaExpression[0], new LambdaExpression[0], bound_params)).ToArray(),
-                lambda_applicant_paps,
+                lambda_arguments_paps,
                 bound_params
             );
 
@@ -267,6 +397,9 @@ protected override OMA MapURIsWrapped(Dictionary<string, string> old_to_new)
                 applicant.MapURIs(old_to_new),
                 arguments.Select(arg => arg.MapURIs(old_to_new)).ToArray()
             );
+
+        protected internal override Type ToType(Type[] args)
+            => applicant.ToType(arguments.Select(arg => arg.ToType()).ToArray());
     }
 
     public class OMS : SOMDocCRTP<OMS>
@@ -281,7 +414,7 @@ public OMS(string uri) : base()
             this.uri = uri;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
         {
             if (FactOrganizer.AllFacts.TryGetValue(uri, out Fact found))
                 return new OMS(MMTConstants.TYPE_TO_OMS[found.GetType()]);
@@ -307,8 +440,8 @@ protected internal override SOMDoc TypeOf(SOMDoc[] args)
         protected override bool EquivalentWrapped(OMS sd2)
             => this.uri == sd2.uri;
 
-        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
-            => SOMDocToLambdaExpression<float>.MakeLambdaExpression(uri, lambda_applicant, lambda_arguments, bound_params);
+        protected internal override LambdaExpression GetLambdaExpression(LambdaExpression[] lambda_arguments_paps, LambdaExpression[] lambda_arguments_grands, ParameterExpression[] bound_params)
+            => SOMDocToLambdaExpression<float>.MakeLambdaExpression(uri, lambda_arguments_paps, lambda_arguments_grands, bound_params);
 
         public override string ToString()
             => uri;
@@ -320,6 +453,37 @@ protected override OMS MapURIsWrapped(Dictionary<string, string> old_to_new)
 
             return new OMS(new_uri);
         }
+
+        protected internal override Type ToType(Type[] args)
+        {
+            if (FactOrganizer.AllFacts.TryGetValue(uri, out Fact found))
+                return found.GetType();
+
+            if (MMTConstants.HeterogenApplication_TO_TypeOF.TryGetValue(uri, out string s_type))
+            {
+                Type type = MMTConstants.OMS_TO_TYPE[s_type];
+
+                if (type.Equals(typeof(Tuple)))
+                { // authors note: Not a fan, but has to be done somewhwere...
+                    type = TupleExtensions.GetGenericTupleType(args.Length);
+                }
+                
+                return type
+                    .MakeGenericType(args);
+            }
+
+            if (MMTConstants.HomogenApplication_TO_TypeOF.TryGetValue(uri, out s_type))
+                return MMTConstants.OMS_TO_TYPE[s_type]
+                    .MakeGenericType(args[0]);
+
+            if (MMTConstants.URI_TO_TypeOF.TryGetValue(uri, out s_type))
+                return MMTConstants.OMS_TO_TYPE[s_type];
+
+            if (MMTConstants.OMS_TO_TYPE.TryGetValue(uri, out Type t_type))
+                return t_type;
+
+            throw new NotImplementedException();
+        }
     }
 
     public class OMSTR : SOMDocCRTP<OMSTR>
@@ -335,7 +499,7 @@ public OMSTR(string s) : base()
             this.s = s;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => throw new NotImplementedException();
 
         protected override bool EquivalentWrapped(OMSTR sd2)
@@ -349,6 +513,9 @@ public override string ToString()
 
         protected override OMSTR MapURIsWrapped(Dictionary<string, string> old_to_new)
             => (OMSTR)this.MemberwiseClone();
+
+        protected internal override Type ToType(Type[] args)
+            => typeof(string);
     }
 
     public class OMF : SOMDocCRTP<OMF>
@@ -364,7 +531,7 @@ public OMF(float f) : base()
             this.@float = f;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => new OMS(MMTConstants.RealLit);
 
         protected override bool EquivalentWrapped(OMF sd2)
@@ -378,6 +545,9 @@ public override string ToString()
 
         protected override OMF MapURIsWrapped(Dictionary<string, string> old_to_new)
             => (OMF)this.MemberwiseClone();
+
+        protected internal override Type ToType(Type[] args)
+            => typeof(float);
     }
 
     public class OMC<T> : SOMDocCRTP<OMC<T>>
@@ -392,7 +562,7 @@ public OMC(T value) : base()
             this.value = value;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => new OMS(MMTConstants.TYPE_TO_OMS[typeof(T)]);
 
         protected override bool EquivalentWrapped(OMC<T> sd2)
@@ -409,11 +579,14 @@ public override string ToString()
 
         protected override OMC<T> MapURIsWrapped(Dictionary<string, string> old_to_new)
             => (OMC<T>)this.MemberwiseClone();
+
+        protected internal override Type ToType(Type[] args)
+            => typeof(T);
     }
 
     public class OMV : SOMDocCRTP<OMV>
     {
-        public new string kind = "OMV";
+        public new string kind = "VAR";
 
         public string name;
 
@@ -423,7 +596,7 @@ public OMV(string name) : base()
             this.name = name;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => throw new NotImplementedException();
 
         protected override bool EquivalentWrapped(OMV sd2)
@@ -446,6 +619,11 @@ public override string ToString()
 
         protected override OMV MapURIsWrapped(Dictionary<string, string> old_to_new)
             => (OMV)this.MemberwiseClone();
+
+        protected internal override Type ToType(Type[] args)
+        {
+            throw new NotImplementedException();
+        }
     }
 
     public class RAW : SOMDocCRTP<RAW>
@@ -460,7 +638,7 @@ public RAW(string xml) : base()
             this.xml = xml;
         }
 
-        protected internal override SOMDoc TypeOf(SOMDoc[] args)
+        protected internal override SOMDoc SOMDocType(SOMDoc[] args)
             => throw new NotImplementedException();
 
         protected override RAW MapURIsWrapped(Dictionary<string, string> old_to_new)
@@ -482,5 +660,10 @@ protected internal override LambdaExpression GetLambdaExpression(LambdaExpressio
         {
             throw new NotImplementedException();
         }
+
+        protected internal override Type ToType(Type[] args)
+        {
+            throw new NotImplementedException();
+        }
     }
 }
\ No newline at end of file
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs.meta b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs.meta
new file mode 100644
index 00000000..f6416c59
--- /dev/null
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocs.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 85a1dc6d86e210a4abc2b70852057412
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/UI/InGame/PopupBehavior.cs b/Assets/Scripts/UI/InGame/PopupBehavior.cs
index 667846e9..0212e5de 100644
--- a/Assets/Scripts/UI/InGame/PopupBehavior.cs
+++ b/Assets/Scripts/UI/InGame/PopupBehavior.cs
@@ -17,9 +17,6 @@ public string MessageText
         set => message.text = value;
     }
 
-    public Scroll ActiveScroll { private get; set; }
-    public List<RenderedScrollFact> ParameterDisplays { private get; set; }
-
     public string ServerErrorMessage = "unknown server error";
     public string NonTotalMessage = "Scroll application not complete";
     public string UnknownErrorMessage = "Unkown error - did you apply all facts?";
@@ -88,9 +85,9 @@ private string generateHelpfulMessageAndAnimateScrollParam(ScrollApplicationChec
                 MMTFact fact = parseFactFromError(error);
 
                 //animate all invalidly assigned facts
-                if (ParameterDisplays != null && fact != null)
+                if (ScrollDetails.ParameterDisplays != null && fact != null)
                 {
-                    foreach (RenderedScrollFact scrollfact in ParameterDisplays)
+                    foreach (RenderedScrollFact scrollfact in ScrollDetails.ParameterDisplays)
                         if (scrollfact.ScrollFactURI == fact.@ref.uri)
                             scrollfact.HighlightAs(FactWrapper.FactMaterials.Hint);
                 }
@@ -145,7 +142,7 @@ private MMTFact parseFactFromError(ScrollApplicationCheckingError error)
         factUri += "?" + factLabel;
 
         //find the required fact in the active scroll thats invalidly assigned
-        return ActiveScroll?.requiredFacts
+        return ScrollDetails.ActiveScroll?.requiredFacts
             .Find(decl => decl.@ref.uri == error.fact.uri);
     }
 }
diff --git a/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
new file mode 100644
index 00000000..7bdb62d1
--- /dev/null
+++ b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
@@ -0,0 +1,84 @@
+using System.Collections.Generic;
+using System;
+
+public static class IEnumerableExtensions
+{
+    public static IEnumerable<TAccumulate> PartialAggregate<TSource, TAccumulate>
+    (
+        this IEnumerable<TSource> source,
+        TAccumulate seed,
+        Func<TAccumulate, TSource, TAccumulate> func
+    )
+    {
+        TAccumulate previous = seed;
+        foreach (TSource item in source)
+        {
+            TAccumulate result = func(previous, item);
+            previous = result;
+            yield return result;
+        }
+    }
+
+    public static IEnumerable<TAccumulate> FeedForwardWhile<TAccumulate>
+    (
+        TAccumulate seed,
+        Func<TAccumulate, TAccumulate> func,
+        Func<TAccumulate, bool> predicate
+    )
+    {
+        TAccumulate previous = seed;
+        while (predicate(previous))
+        {
+            yield return previous;
+            previous = func(previous);
+        }
+
+        yield return previous;
+    }
+
+    public static IEnumerable<TSource> AppendRange<TSource>(this IEnumerable<TSource> source, IEnumerable<TSource> range)
+    {
+        IEnumerator<TSource> enum_source = source.GetEnumerator();
+        while (enum_source.MoveNext())
+            yield return enum_source.Current;
+        enum_source.Dispose();
+
+        if (range == null)
+            yield break;
+
+        IEnumerator<TSource> enum_range = range.GetEnumerator();
+        while (enum_range.MoveNext())
+            yield return enum_range.Current;
+        enum_range.Dispose();
+    }
+
+    public static IEnumerable<TSource> AppendRangeAt<TSource>(this IEnumerable<TSource> source, IEnumerable<(uint index, TSource element)> indexed_range)
+    {
+        IEnumerator<TSource>
+            enum_source = source.GetEnumerator();
+        IEnumerator<(uint index, TSource element)>
+            enum_range = indexed_range?.GetEnumerator();
+
+        bool continue_source = enum_source.MoveNext();
+        bool continue_range = enum_range != null && enum_range.MoveNext();
+
+        for (int i = 0; continue_source || continue_range; i++)
+        {
+            if (continue_range
+             && (!continue_source || i == enum_range.Current.index))
+            {
+                yield return enum_range.Current.element;
+                continue_range = enum_range.MoveNext();
+            }
+            else if (continue_source)
+            {
+                yield return enum_source.Current;
+                continue_source = enum_source.MoveNext();
+            }
+        }
+
+        enum_source.Dispose();
+        enum_range?.Dispose();
+    }
+
+}
\ No newline at end of file
diff --git a/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs.meta b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs.meta
new file mode 100644
index 00000000..e092d675
--- /dev/null
+++ b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 72d2457c0739d46499f665a38e0ba174
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/Utility/Extensions/LayerMaskExtensions.cs b/Assets/Scripts/Utility/Extensions/LayerMaskExtensions.cs
index d1e7c1b3..38b68e51 100644
--- a/Assets/Scripts/Utility/Extensions/LayerMaskExtensions.cs
+++ b/Assets/Scripts/Utility/Extensions/LayerMaskExtensions.cs
@@ -1,4 +1,3 @@
-using System;
 using System.Linq;
 using System.Collections.Generic;
 using UnityEngine;
diff --git a/Assets/Scripts/Utility/Extensions/MathfExtensions.cs b/Assets/Scripts/Utility/Extensions/MathfExtensions.cs
index 9413baa3..198f0565 100644
--- a/Assets/Scripts/Utility/Extensions/MathfExtensions.cs
+++ b/Assets/Scripts/Utility/Extensions/MathfExtensions.cs
@@ -1,4 +1,3 @@
-using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
diff --git a/Assets/Scripts/Utility/Extensions/TupleExtensions.cs b/Assets/Scripts/Utility/Extensions/TupleExtensions.cs
new file mode 100644
index 00000000..1dadbb62
--- /dev/null
+++ b/Assets/Scripts/Utility/Extensions/TupleExtensions.cs
@@ -0,0 +1,20 @@
+using System;
+
+public static class TupleExtensions
+{
+    private static readonly Type[] generictupletypes = new Type[]
+{
+    typeof(Tuple),
+    typeof(Tuple<>),
+    typeof(Tuple<,>),
+    typeof(Tuple<,,>),
+    typeof(Tuple<,,,>),
+    typeof(Tuple<,,,,>),
+    typeof(Tuple<,,,,,>),
+    typeof(Tuple<,,,,,,>),
+    typeof(Tuple<,,,,,,,>)
+};
+
+    public static Type GetGenericTupleType(int argumentsCount) 
+        => generictupletypes[argumentsCount];
+}
\ No newline at end of file
diff --git a/Assets/Scripts/Utility/Extensions/TupleExtensions.cs.meta b/Assets/Scripts/Utility/Extensions/TupleExtensions.cs.meta
new file mode 100644
index 00000000..3e170a7d
--- /dev/null
+++ b/Assets/Scripts/Utility/Extensions/TupleExtensions.cs.meta
@@ -0,0 +1,11 @@
+fileFormatVersion: 2
+guid: 26c7815ec2fccee4699778ea039a475d
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences: []
+  executionOrder: 0
+  icon: {instanceID: 0}
+  userData: 
+  assetBundleName: 
+  assetBundleVariant: 
diff --git a/Assets/Scripts/Utility/Extensions/TypeExtensions.cs b/Assets/Scripts/Utility/Extensions/TypeExtensions.cs
index 653df6ed..93ab7948 100644
--- a/Assets/Scripts/Utility/Extensions/TypeExtensions.cs
+++ b/Assets/Scripts/Utility/Extensions/TypeExtensions.cs
@@ -1,8 +1,6 @@
-using Newtonsoft.Json;
 using System;
 using System.Linq;
 using System.Reflection;
-using static UnityEditor.Search.SearchValue;
 
 public static class TypeExtensions
 {
diff --git a/Assets/StreamingAssets/scrolls.json b/Assets/StreamingAssets/scrolls.json
new file mode 100644
index 00000000..24462f3d
--- /dev/null
+++ b/Assets/StreamingAssets/scrolls.json
@@ -0,0 +1,37208 @@
+[
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles",
+		"label": "SupplementaryAngles",
+		"description": "Supplementary angles add up to 180 degree ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles/Problem?B"
+				},
+				"label": "B",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles/Problem?C"
+				},
+				"label": "C",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles/Problem?D"
+				},
+				"label": "D",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
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+															"kind": "OMA"
+														},
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?Pythagoras/Problem?distanceAC",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?Pythagoras/Problem?distanceBC",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														},
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?Pythagoras/Problem?distanceBC",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"string": "By Pythagora's theorem",
+							"kind": "OMSTR"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll",
+		"label": "CylinderVolumeScroll",
+		"description": "This scroll caclculates the volume of a cylinder with top ○c, base ○C, height [MS] and intersection points M and S. The formula is V = [MS] ⋅ A(○C) . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "○C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(○C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "○c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH"
+				},
+				"label": " ○c⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top"
+				},
+				"label": "S∈○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize"
+				},
+				"label": "○C=○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V:○C○c ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?sqrt",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"applicant": {
+																		"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"applicant": {
+																				"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+																				"kind": "OMS"
+																			},
+																			"arguments": [
+																				{
+																					"applicant": {
+																						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																						"kind": "OMS"
+																					},
+																					"arguments": [
+																						{
+																							"applicant": {
+																								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint",
+																								"kind": "OMS"
+																							},
+																							"arguments": [
+																								{
+																									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+																									"kind": "OMS"
+																								}
+																							],
+																							"kind": "OMA"
+																						}
+																					],
+																					"kind": "OMA"
+																				},
+																				{
+																					"applicant": {
+																						"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit",
+																						"kind": "OMS"
+																					},
+																					"arguments": [
+																						{
+																							"applicant": {
+																								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																								"kind": "OMS"
+																							},
+																							"arguments": [
+																								{
+																									"applicant": {
+																										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint",
+																										"kind": "OMS"
+																									},
+																									"arguments": [
+																										{
+																											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+																											"kind": "OMS"
+																										}
+																									],
+																									"kind": "OMA"
+																								}
+																							],
+																							"kind": "OMA"
+																						}
+																					],
+																					"kind": "OMA"
+																				}
+																			],
+																			"kind": "OMA"
+																		},
+																		{
+																			"applicant": {
+																				"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+																				"kind": "OMS"
+																			},
+																			"arguments": [
+																				{
+																					"applicant": {
+																						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																						"kind": "OMS"
+																					},
+																					"arguments": [
+																						{
+																							"applicant": {
+																								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint",
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+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
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+				},
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+						"kind": "OMS"
+					},
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+							"kind": "OMA"
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+							"string": "CircleArea Scroll",
+							"kind": "OMSTR"
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+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll",
+		"label": "ConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a cone with apex S and base ○C with area A(○C) and the height [MS].                 The formula is V =  [MS] ⋅  A(○C) / 3 . ",
+		"requiredFacts": [
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+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
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+			{
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+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
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+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "○C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
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+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
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+						"kind": "OMS"
+					},
+					"arguments": [
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+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
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+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(○C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
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+				"value": null,
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+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
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+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
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+								{
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+									"kind": "OMS"
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+							"kind": "OMA"
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+					],
+					"kind": "OMA"
+				},
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+			},
+			{
+				"ref": {
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+				},
+				"label": "S∈SM",
+				"tp": {
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+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
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+							},
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+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
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+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
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+			{
+				"ref": {
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+				},
+				"label": "M∈○C",
+				"tp": {
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+						"kind": "OMS"
+					},
+					"arguments": [
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+							},
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+								},
+								{
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+							],
+							"kind": "OMA"
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+					],
+					"kind": "OMA"
+				},
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+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V ○C ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone",
+						"kind": "OMS"
+					},
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+							},
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+								},
+								{
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+																																"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+																																"kind": "OMS"
+																															},
+																															"arguments": [
+																																{
+																																	"applicant": {
+																																		"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																																		"kind": "OMS"
+																																	},
+																																	"arguments": [
+																																		{
+																																			"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+																																			"kind": "OMS"
+																																		}
+																																	],
+																																	"kind": "OMA"
+																																}
+																															],
+																															"kind": "OMA"
+																														}
+																													],
+																													"kind": "OMA"
+																												}
+																											],
+																											"kind": "OMA"
+																										},
+																										{
+																											"applicant": {
+																												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																												"kind": "OMS"
+																											},
+																											"arguments": [
+																												{
+																													"applicant": {
+																														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																														"kind": "OMS"
+																													},
+																													"arguments": [
+																														{
+																															"applicant": {
+																																"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+																																"kind": "OMS"
+																															},
+																															"arguments": [
+																																{
+																																	"applicant": {
+																																		"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																																		"kind": "OMS"
+																																	},
+																																	"arguments": [
+																																		{
+																																			"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+																																			"kind": "OMS"
+																																		}
+																																	],
+																																	"kind": "OMA"
+																																}
+																															],
+																															"kind": "OMA"
+																														}
+																													],
+																													"kind": "OMA"
+																												}
+																											],
+																											"kind": "OMA"
+																										}
+																									],
+																									"kind": "OMA"
+																								}
+																							],
+																							"kind": "OMA"
+																						},
+																						{
+																							"applicant": {
+																								"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+																								"kind": "OMS"
+																							},
+																							"arguments": [
+																								{
+																									"applicant": {
+																										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																										"kind": "OMS"
+																									},
+																									"arguments": [
+																										{
+																											"applicant": {
+																												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																												"kind": "OMS"
+																											},
+																											"arguments": [
+																												{
+																													"applicant": {
+																														"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+																														"kind": "OMS"
+																													},
+																													"arguments": [
+																														{
+																															"applicant": {
+																																"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																																"kind": "OMS"
+																															},
+																															"arguments": [
+																																{
+																																	"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+																																	"kind": "OMS"
+																																}
+																															],
+																															"kind": "OMA"
+																														}
+																													],
+																													"kind": "OMA"
+																												}
+																											],
+																											"kind": "OMA"
+																										}
+																									],
+																									"kind": "OMA"
+																								},
+																								{
+																									"applicant": {
+																										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																										"kind": "OMS"
+																									},
+																									"arguments": [
+																										{
+																											"applicant": {
+																												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																												"kind": "OMS"
+																											},
+																											"arguments": [
+																												{
+																													"applicant": {
+																														"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+																														"kind": "OMS"
+																													},
+																													"arguments": [
+																														{
+																															"applicant": {
+																																"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																																"kind": "OMS"
+																															},
+																															"arguments": [
+																																{
+																																	"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+																																	"kind": "OMS"
+																																}
+																															],
+																															"kind": "OMA"
+																														}
+																													],
+																													"kind": "OMA"
+																												}
+																											],
+																											"kind": "OMA"
+																										}
+																									],
+																									"kind": "OMA"
+																								}
+																							],
+																							"kind": "OMA"
+																						}
+																					],
+																					"kind": "OMA"
+																				}
+																			],
+																			"kind": "OMA"
+																		},
+																		{
+																			"float": 4.626e-12,
+																			"kind": "OMF"
+																		}
+																	],
+																	"kind": "OMA"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"float": 0.3333333333333333,
+											"kind": "OMF"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"float": 0.3333333333333333,
+											"kind": "OMF"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"string": "ConeVolume Scroll",
+							"kind": "OMSTR"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll",
+		"label": "TruncatedConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a truncated cone with top ○c, base ○C and height [MS]. The formula is:                  V = [MS] ⋅ ( A(○C) + √(A(○c) ⋅ A(○C) ) + A(○c)) / 3 . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "○C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(○C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "○c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH"
+				},
+				"label": " ○c⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top"
+				},
+				"label": "S∈○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop"
+				},
+				"label": "A(○c)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize"
+				},
+				"label": "○C≠○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V:○C○c ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone",
+								"kind": "OMS"
+							},
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