diff --git a/ActionsForCAP/examples/IndirectionTest.g b/ActionsForCAP/examples/IndirectionTest.g
index 56cc4af175..25c5775294 100644
--- a/ActionsForCAP/examples/IndirectionTest.g
+++ b/ActionsForCAP/examples/IndirectionTest.g
@@ -92,9 +92,7 @@ triple := EnhancementWithAttributes( category_with_attributes_record );;
 indirection_category := triple[1];;
 SetIsAbelianCategory( indirection_category, true );;
 Reevaluate( indirection_category!.derivations_weight_list );
-AddIsEqualForCacheForObjects( indirection_category, IsIdenticalObj );;
 AddIsEqualForObjects( indirection_category, function( obj1, obj2 ) return UnderlyingCell( obj1 ) = UnderlyingCell( obj2 ); end );;
-AddIsEqualForCacheForMorphisms( indirection_category, IsIdenticalObj );;
 AddIsEqualForMorphisms( indirection_category, IsIdenticalObj );;
 AddIsCongruentForMorphisms( indirection_category, function( mor1, mor2 ) return UnderlyingCell( mor1 ) = UnderlyingCell( mor2 ); end );;
 Finalize( indirection_category );;
diff --git a/ActionsForCAP/gap/ActionsCategory.gi b/ActionsForCAP/gap/ActionsCategory.gi
index 4b0f99f1be..2ffb24d6f2 100644
--- a/ActionsForCAP/gap/ActionsCategory.gi
+++ b/ActionsForCAP/gap/ActionsCategory.gi
@@ -559,14 +559,6 @@ InstallGlobalFunction( ADD_FUNCTIONS_FOR_LEFT_AND_RIGHT_ACTIONS_CATEGORY,
   function( category )
     local underlying_category;
     
-    ##
-    AddIsEqualForCacheForObjects( category,
-      IsIdenticalObj );
-    
-    ##
-    AddIsEqualForCacheForMorphisms( category,
-      IsIdenticalObj );
-    
     underlying_category := UnderlyingCategory( category );
     
     if CanCompute( underlying_category, "IsCongruentForMorphisms" ) then
diff --git a/ActionsForCAP/gap/CoactionsCategory.gi b/ActionsForCAP/gap/CoactionsCategory.gi
index 28881852ab..17a34d3229 100644
--- a/ActionsForCAP/gap/CoactionsCategory.gi
+++ b/ActionsForCAP/gap/CoactionsCategory.gi
@@ -516,14 +516,6 @@ InstallGlobalFunction( ADD_FUNCTIONS_FOR_LEFT_AND_RIGHT_COACTIONS_CATEGORY,
   function( category )
     local underlying_category;
     
-    ##
-    AddIsEqualForCacheForObjects( category,
-      IsIdenticalObj );
-    
-    ##
-    AddIsEqualForCacheForMorphisms( category,
-      IsIdenticalObj );
-    
     underlying_category := UnderlyingCategory( category );
     
     if CanCompute( underlying_category, "IsCongruentForMorphisms" ) then
diff --git a/CAP/examples/FieldAsCategory.g b/CAP/examples/FieldAsCategory.g
index 54f8a96f7c..67ee78bd68 100644
--- a/CAP/examples/FieldAsCategory.g
+++ b/CAP/examples/FieldAsCategory.g
@@ -118,14 +118,6 @@ InstallGlobalFunction( INSTALL_FUNCTIONS_FOR_FIELD_AS_CATEGORY,
     
     field := UnderlyingFieldForHomalg( category );
     
-    ##
-    AddIsEqualForCacheForObjects( category,
-      IsIdenticalObj );
-    
-    ##
-    AddIsEqualForCacheForMorphisms( category,
-      IsIdenticalObj );
-    
     ##
     AddIsEqualForObjects( category,
       function( a, b )
diff --git a/CAP/examples/StringsAsCategory.g b/CAP/examples/StringsAsCategory.g
index 5ba502c127..6837bc072c 100644
--- a/CAP/examples/StringsAsCategory.g
+++ b/CAP/examples/StringsAsCategory.g
@@ -131,14 +131,6 @@ InstallGlobalFunction( INSTALL_FUNCTIONS_FOR_STRINGS_AS_CATEGORY,
     
     vowels := "aeiou";
     
-    ##
-    AddIsEqualForCacheForObjects( category,
-      IsIdenticalObj );
-    
-    ##
-    AddIsEqualForCacheForMorphisms( category,
-      IsIdenticalObj );
-    
     ##
     AddIsEqualForObjects( category,
       function( a, b )
diff --git a/FreydCategoriesForCAP/gap/AdelmanCategory.gi b/FreydCategoriesForCAP/gap/AdelmanCategory.gi
index 3a5fce5ebf..264666cc50 100644
--- a/FreydCategoriesForCAP/gap/AdelmanCategory.gi
+++ b/FreydCategoriesForCAP/gap/AdelmanCategory.gi
@@ -292,14 +292,6 @@ InstallGlobalFunction( INSTALL_FUNCTIONS_FOR_ADELMAN_CATEGORY,
     
     underlying_category := UnderlyingCategory( category );
     
-    ##
-    AddIsEqualForCacheForObjects( category,
-      { cat, obj1, obj2 } -> IsIdenticalObj( obj1, obj2 ) );
-    
-    ##
-    AddIsEqualForCacheForMorphisms( category,
-      { cat, mor1, mor2 } -> IsIdenticalObj( mor1, mor2 ) );
-    
     ## Well-defined for objects and morphisms
     ##
     AddIsWellDefinedForObjects( category,