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14 Add Functions
 14.1 Available Add functions

  14.1-1 AddBiasedWeakFiberProduct

  14.1-2 AddBiasedWeakPushout

  14.1-3 AddDirectSumMorphismToWeakBiPushout

  14.1-4 AddEpimorphismFromSomeProjectiveObjectForKernelObject

  14.1-5 AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject

  14.1-6 AddInjectionOfBiasedWeakPushout

  14.1-7 AddInjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout

  14.1-8 AddInjectionOfFirstCofactorOfWeakBiPushout

  14.1-9 AddInjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout

  14.1-10 AddInjectionOfSecondCofactorOfWeakBiPushout

  14.1-11 AddInjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout

  14.1-12 AddMonomorphismToSomeInjectiveObjectForCokernelObject

  14.1-13 AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject

  14.1-14 AddProjectionInFirstFactorOfWeakBiFiberProduct

  14.1-15 AddProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct

  14.1-16 AddProjectionInSecondFactorOfWeakBiFiberProduct

  14.1-17 AddProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct

  14.1-18 AddProjectionOfBiasedWeakFiberProduct

  14.1-19 AddProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct

  14.1-20 AddSomeInjectiveObjectForCokernelObject

  14.1-21 AddSomeProjectiveObjectForKernelObject

  14.1-22 AddUniversalMorphismFromBiasedWeakPushout

  14.1-23 AddUniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout

  14.1-24 AddUniversalMorphismFromWeakBiPushout

  14.1-25 AddUniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout

  14.1-26 AddUniversalMorphismIntoBiasedWeakFiberProduct

  14.1-27 AddUniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct

  14.1-28 AddUniversalMorphismIntoWeakBiFiberProduct

  14.1-29 AddUniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct

  14.1-30 AddWeakBiFiberProduct

  14.1-31 AddWeakBiFiberProductMorphismToDirectSum

  14.1-32 AddWeakBiPushout

  14.1-33 AddWeakCokernelColift

  14.1-34 AddWeakCokernelColiftWithGivenWeakCokernelObject

  14.1-35 AddWeakCokernelObject

  14.1-36 AddWeakCokernelProjection

  14.1-37 AddWeakCokernelProjectionWithGivenWeakCokernelObject

  14.1-38 AddWeakKernelEmbedding

  14.1-39 AddWeakKernelEmbeddingWithGivenWeakKernelObject

  14.1-40 AddWeakKernelLift

  14.1-41 AddWeakKernelLiftWithGivenWeakKernelObject

  14.1-42 AddWeakKernelObject

14 Add Functions

14.1 Available Add functions

14.1-1 AddBiasedWeakFiberProduct
‣ AddBiasedWeakFiberProduct( C, F )( operation )
‣ AddBiasedWeakFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation BiasedWeakFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2, arg3 ) \mapsto \mathtt{BiasedWeakFiberProduct}(arg2, arg3).

14.1-2 AddBiasedWeakPushout
‣ AddBiasedWeakPushout( C, F )( operation )
‣ AddBiasedWeakPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation BiasedWeakPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2, arg3 ) \mapsto \mathtt{BiasedWeakPushout}(arg2, arg3).

14.1-3 AddDirectSumMorphismToWeakBiPushout
‣ AddDirectSumMorphismToWeakBiPushout( C, F )( operation )
‣ AddDirectSumMorphismToWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation DirectSumMorphismToWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, beta ) \mapsto \mathtt{DirectSumMorphismToWeakBiPushout}(alpha, beta).

14.1-4 AddEpimorphismFromSomeProjectiveObjectForKernelObject
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObject( C, F )( operation )
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation EpimorphismFromSomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha ) \mapsto \mathtt{EpimorphismFromSomeProjectiveObjectForKernelObject}(alpha).

14.1-5 AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject( C, F )( operation )
‣ AddEpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation EpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, source ) \mapsto \mathtt{EpimorphismFromSomeProjectiveObjectForKernelObjectWithGivenSomeProjectiveObjectForKernelObject}(alpha, source).

14.1-6 AddInjectionOfBiasedWeakPushout
‣ AddInjectionOfBiasedWeakPushout( C, F )( operation )
‣ AddInjectionOfBiasedWeakPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfBiasedWeakPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{InjectionOfBiasedWeakPushout}(a, b).

14.1-7 AddInjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout
‣ AddInjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout( C, F )( operation )
‣ AddInjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{InjectionOfBiasedWeakPushoutWithGivenBiasedWeakPushout}(a, b, P).

14.1-8 AddInjectionOfFirstCofactorOfWeakBiPushout
‣ AddInjectionOfFirstCofactorOfWeakBiPushout( C, F )( operation )
‣ AddInjectionOfFirstCofactorOfWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfFirstCofactorOfWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{InjectionOfFirstCofactorOfWeakBiPushout}(a, b).

14.1-9 AddInjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout
‣ AddInjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout( C, F )( operation )
‣ AddInjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{InjectionOfFirstCofactorOfWeakBiPushoutWithGivenWeakBiPushout}(a, b, P).

14.1-10 AddInjectionOfSecondCofactorOfWeakBiPushout
‣ AddInjectionOfSecondCofactorOfWeakBiPushout( C, F )( operation )
‣ AddInjectionOfSecondCofactorOfWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfSecondCofactorOfWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{InjectionOfSecondCofactorOfWeakBiPushout}(a, b).

14.1-11 AddInjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout
‣ AddInjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout( C, F )( operation )
‣ AddInjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation InjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{InjectionOfSecondCofactorOfWeakBiPushoutWithGivenWeakBiPushout}(a, b, P).

14.1-12 AddMonomorphismToSomeInjectiveObjectForCokernelObject
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObject( C, F )( operation )
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation MonomorphismToSomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha ) \mapsto \mathtt{MonomorphismToSomeInjectiveObjectForCokernelObject}(alpha).

14.1-13 AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject( C, F )( operation )
‣ AddMonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation MonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, range ) \mapsto \mathtt{MonomorphismToSomeInjectiveObjectForCokernelObjectWithGivenSomeInjectiveObjectForCokernelObject}(alpha, range).

14.1-14 AddProjectionInFirstFactorOfWeakBiFiberProduct
‣ AddProjectionInFirstFactorOfWeakBiFiberProduct( C, F )( operation )
‣ AddProjectionInFirstFactorOfWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionInFirstFactorOfWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{ProjectionInFirstFactorOfWeakBiFiberProduct}(a, b).

14.1-15 AddProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct
‣ AddProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F )( operation )
‣ AddProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{ProjectionInFirstFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct}(a, b, P).

14.1-16 AddProjectionInSecondFactorOfWeakBiFiberProduct
‣ AddProjectionInSecondFactorOfWeakBiFiberProduct( C, F )( operation )
‣ AddProjectionInSecondFactorOfWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionInSecondFactorOfWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{ProjectionInSecondFactorOfWeakBiFiberProduct}(a, b).

14.1-17 AddProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct
‣ AddProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F )( operation )
‣ AddProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{ProjectionInSecondFactorOfWeakBiFiberProductWithGivenWeakBiFiberProduct}(a, b, P).

14.1-18 AddProjectionOfBiasedWeakFiberProduct
‣ AddProjectionOfBiasedWeakFiberProduct( C, F )( operation )
‣ AddProjectionOfBiasedWeakFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionOfBiasedWeakFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b ) \mapsto \mathtt{ProjectionOfBiasedWeakFiberProduct}(a, b).

14.1-19 AddProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct
‣ AddProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct( C, F )( operation )
‣ AddProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, P ) \mapsto \mathtt{ProjectionOfBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct}(a, b, P).

14.1-20 AddSomeInjectiveObjectForCokernelObject
‣ AddSomeInjectiveObjectForCokernelObject( C, F )( operation )
‣ AddSomeInjectiveObjectForCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation SomeInjectiveObjectForCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2 ) \mapsto \mathtt{SomeInjectiveObjectForCokernelObject}(arg2).

14.1-21 AddSomeProjectiveObjectForKernelObject
‣ AddSomeProjectiveObjectForKernelObject( C, F )( operation )
‣ AddSomeProjectiveObjectForKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation SomeProjectiveObjectForKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2 ) \mapsto \mathtt{SomeProjectiveObjectForKernelObject}(arg2).

14.1-22 AddUniversalMorphismFromBiasedWeakPushout
‣ AddUniversalMorphismFromBiasedWeakPushout( C, F )( operation )
‣ AddUniversalMorphismFromBiasedWeakPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismFromBiasedWeakPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t ) \mapsto \mathtt{UniversalMorphismFromBiasedWeakPushout}(a, b, t).

14.1-23 AddUniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout
‣ AddUniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout( C, F )( operation )
‣ AddUniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, P ) \mapsto \mathtt{UniversalMorphismFromBiasedWeakPushoutWithGivenBiasedWeakPushout}(a, b, t, P).

14.1-24 AddUniversalMorphismFromWeakBiPushout
‣ AddUniversalMorphismFromWeakBiPushout( C, F )( operation )
‣ AddUniversalMorphismFromWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismFromWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, s ) \mapsto \mathtt{UniversalMorphismFromWeakBiPushout}(a, b, t, s).

14.1-25 AddUniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout
‣ AddUniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout( C, F )( operation )
‣ AddUniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, s, P ) \mapsto \mathtt{UniversalMorphismFromWeakBiPushoutWithGivenWeakBiPushout}(a, b, t, s, P).

14.1-26 AddUniversalMorphismIntoBiasedWeakFiberProduct
‣ AddUniversalMorphismIntoBiasedWeakFiberProduct( C, F )( operation )
‣ AddUniversalMorphismIntoBiasedWeakFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismIntoBiasedWeakFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t ) \mapsto \mathtt{UniversalMorphismIntoBiasedWeakFiberProduct}(a, b, t).

14.1-27 AddUniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct
‣ AddUniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct( C, F )( operation )
‣ AddUniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, P ) \mapsto \mathtt{UniversalMorphismIntoBiasedWeakFiberProductWithGivenBiasedWeakFiberProduct}(a, b, t, P).

14.1-28 AddUniversalMorphismIntoWeakBiFiberProduct
‣ AddUniversalMorphismIntoWeakBiFiberProduct( C, F )( operation )
‣ AddUniversalMorphismIntoWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismIntoWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, s ) \mapsto \mathtt{UniversalMorphismIntoWeakBiFiberProduct}(a, b, t, s).

14.1-29 AddUniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct
‣ AddUniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F )( operation )
‣ AddUniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation UniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( a, b, t, s, P ) \mapsto \mathtt{UniversalMorphismIntoWeakBiFiberProductWithGivenWeakBiFiberProduct}(a, b, t, s, P).

14.1-30 AddWeakBiFiberProduct
‣ AddWeakBiFiberProduct( C, F )( operation )
‣ AddWeakBiFiberProduct( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakBiFiberProduct. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2, arg3 ) \mapsto \mathtt{WeakBiFiberProduct}(arg2, arg3).

14.1-31 AddWeakBiFiberProductMorphismToDirectSum
‣ AddWeakBiFiberProductMorphismToDirectSum( C, F )( operation )
‣ AddWeakBiFiberProductMorphismToDirectSum( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakBiFiberProductMorphismToDirectSum. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, beta ) \mapsto \mathtt{WeakBiFiberProductMorphismToDirectSum}(alpha, beta).

14.1-32 AddWeakBiPushout
‣ AddWeakBiPushout( C, F )( operation )
‣ AddWeakBiPushout( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakBiPushout. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2, arg3 ) \mapsto \mathtt{WeakBiPushout}(arg2, arg3).

14.1-33 AddWeakCokernelColift
‣ AddWeakCokernelColift( C, F )( operation )
‣ AddWeakCokernelColift( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakCokernelColift. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, tau ) \mapsto \mathtt{WeakCokernelColift}(alpha, tau).

14.1-34 AddWeakCokernelColiftWithGivenWeakCokernelObject
‣ AddWeakCokernelColiftWithGivenWeakCokernelObject( C, F )( operation )
‣ AddWeakCokernelColiftWithGivenWeakCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakCokernelColiftWithGivenWeakCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, tau, K ) \mapsto \mathtt{WeakCokernelColiftWithGivenWeakCokernelObject}(alpha, tau, K).

14.1-35 AddWeakCokernelObject
‣ AddWeakCokernelObject( C, F )( operation )
‣ AddWeakCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2 ) \mapsto \mathtt{WeakCokernelObject}(arg2).

14.1-36 AddWeakCokernelProjection
‣ AddWeakCokernelProjection( C, F )( operation )
‣ AddWeakCokernelProjection( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakCokernelProjection. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha ) \mapsto \mathtt{WeakCokernelProjection}(alpha).

14.1-37 AddWeakCokernelProjectionWithGivenWeakCokernelObject
‣ AddWeakCokernelProjectionWithGivenWeakCokernelObject( C, F )( operation )
‣ AddWeakCokernelProjectionWithGivenWeakCokernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakCokernelProjectionWithGivenWeakCokernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, K ) \mapsto \mathtt{WeakCokernelProjectionWithGivenWeakCokernelObject}(alpha, K).

14.1-38 AddWeakKernelEmbedding
‣ AddWeakKernelEmbedding( C, F )( operation )
‣ AddWeakKernelEmbedding( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakKernelEmbedding. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha ) \mapsto \mathtt{WeakKernelEmbedding}(alpha).

14.1-39 AddWeakKernelEmbeddingWithGivenWeakKernelObject
‣ AddWeakKernelEmbeddingWithGivenWeakKernelObject( C, F )( operation )
‣ AddWeakKernelEmbeddingWithGivenWeakKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakKernelEmbeddingWithGivenWeakKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, K ) \mapsto \mathtt{WeakKernelEmbeddingWithGivenWeakKernelObject}(alpha, K).

14.1-40 AddWeakKernelLift
‣ AddWeakKernelLift( C, F )( operation )
‣ AddWeakKernelLift( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakKernelLift. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, tau ) \mapsto \mathtt{WeakKernelLift}(alpha, tau).

14.1-41 AddWeakKernelLiftWithGivenWeakKernelObject
‣ AddWeakKernelLiftWithGivenWeakKernelObject( C, F )( operation )
‣ AddWeakKernelLiftWithGivenWeakKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakKernelLiftWithGivenWeakKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, tau, K ) \mapsto \mathtt{WeakKernelLiftWithGivenWeakKernelObject}(alpha, tau, K).

14.1-42 AddWeakKernelObject
‣ AddWeakKernelObject( C, F )( operation )
‣ AddWeakKernelObject( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation WeakKernelObject. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( arg2 ) \mapsto \mathtt{WeakKernelObject}(arg2).

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