diff --git a/PackageInfo.g b/PackageInfo.g
index 7546337..e7dccda 100644
--- a/PackageInfo.g
+++ b/PackageInfo.g
@@ -10,7 +10,7 @@ SetPackageInfo( rec(
 
 PackageName := "FinSetsForCAP",
 Subtitle := "The elementary topos of (skeletal) finite sets",
-Version := "2024.10-02",
+Version := "2025.01-01",
 
 Date := (function ( ) if IsBound( GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE ) then return GAPInfo.SystemEnvironment.GAP_PKG_RELEASE_DATE; else return Concatenation( ~.Version{[ 1 .. 4 ]}, "-", ~.Version{[ 6, 7 ]}, "-01" ); fi; end)( ),
 License := "GPL-2.0-or-later",
diff --git a/examples/SkeletalCartesianLambdaIntroduction.g b/examples/SkeletalCartesianLambdaIntroduction.g
index 7553db0..fb6c60e 100644
--- a/examples/SkeletalCartesianLambdaIntroduction.g
+++ b/examples/SkeletalCartesianLambdaIntroduction.g
@@ -25,11 +25,6 @@ Display( Range( lf ) );
 #! { 0,..., 7 }
 Display( lf );
 #! { 0 } ⱶ[ 3 ]→ { 0,..., 7 }
-#! #@if ValueOption( "no_precompiled_code" ) <> true
-SkeletalFinSets!.cached_precompiled_functions.
-    CartesianLambdaIntroduction( SkeletalFinSets, f );
-#! |1| → |8|
-#! #@fi
 elf := CartesianLambdaElimination( S, R, lf );
 #! |3| → |2|
 elf = f;
diff --git a/gap/CompilerLogic.gi b/gap/CompilerLogic.gi
index 021949a..7200e6e 100644
--- a/gap/CompilerLogic.gi
+++ b/gap/CompilerLogic.gi
@@ -507,6 +507,15 @@ CapJitAddLogicTemplate(
     )
 );
 
+CapJitAddLogicTemplate(
+    rec(
+        variable_names := [ "mor" ],
+        variable_filters := [ IsMorphismInSkeletalCategoryOfFiniteSets ],
+        src_template := "List( [ 0 .. Length( Source( mor ) ) - 1 ], i -> AsList( mor )[1 + i] )",
+        dst_template := "AsList( mor )",
+    )
+);
+
 CapJitAddLogicTemplate(
     rec(
         variable_names := [ "length", "value", "func" ],
diff --git a/gap/precompiled_categories/SkeletalCategoryOfFiniteSetsWithMorphismsGivenByLists_precompiled.gi b/gap/precompiled_categories/SkeletalCategoryOfFiniteSetsWithMorphismsGivenByLists_precompiled.gi
index 18aca4c..f16936a 100644
--- a/gap/precompiled_categories/SkeletalCategoryOfFiniteSetsWithMorphismsGivenByLists_precompiled.gi
+++ b/gap/precompiled_categories/SkeletalCategoryOfFiniteSetsWithMorphismsGivenByLists_precompiled.gi
@@ -135,34 +135,13 @@ function ( cat_1, alpha_1 )
     deduped_3_1 := Length( Range( alpha_1 ) );
     hoisted_1_1 := AsList( alpha_1 );
     return CreateCapCategoryMorphismWithAttributes( cat_1, CreateCapCategoryObjectWithAttributes( cat_1, Length, BigInt( 1 ) ), CreateCapCategoryObjectWithAttributes( cat_1, Length, deduped_3_1 ^ deduped_4_1 ), AsList, [ Sum( List( [ 0 .. deduped_4_1 - 1 ], function ( k_2 )
-                    return CAP_JIT_INCOMPLETE_LOGIC( hoisted_1_1[(1 + CAP_JIT_INCOMPLETE_LOGIC( k_2 ))] ) * deduped_3_1 ^ k_2;
+                    return hoisted_1_1[(1 + k_2)] * deduped_3_1 ^ k_2;
                 end ) ) ] );
 end
 ########
         
     , 503 : IsPrecompiledDerivation := true );
     
-    ##
-    cat!.cached_precompiled_functions.CartesianLambdaIntroduction :=
-        
-########
-function ( cat_1, alpha_1 )
-    local hoisted_1_1, hoisted_2_1, deduped_4_1, deduped_5_1, deduped_6_1;
-    deduped_6_1 := Length( Source( alpha_1 ) );
-    deduped_5_1 := Length( Range( alpha_1 ) );
-    deduped_4_1 := [ 0 .. deduped_6_1 - 1 ];
-    hoisted_1_1 := AsList( alpha_1 );
-    hoisted_2_1 := List( deduped_4_1, function ( i_2 )
-            return hoisted_1_1[1 + i_2];
-        end );
-    return CreateCapCategoryMorphismWithAttributes( cat_1, CreateCapCategoryObjectWithAttributes( cat_1, Length, BigInt( 1 ) ), CreateCapCategoryObjectWithAttributes( cat_1, Length, deduped_5_1 ^ deduped_6_1 ), AsList, [ Sum( List( deduped_4_1, function ( k_2 )
-                    return hoisted_2_1[(1 + k_2)] * deduped_5_1 ^ k_2;
-                end ) ) ] );
-end
-########
-        
-    ;
-    
     ##
     AddCartesianLeftCoevaluationMorphismWithGivenRange( cat,