File: trans.g

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#############################################################################
##
##  This file is part of GAP, a system for computational discrete algebra.
##
##  Copyright of GAP belongs to its developers, whose names are too numerous
##  to list here. Please refer to the COPYRIGHT file for details.
##
##  SPDX-License-Identifier: GPL-2.0-or-later
##

DeclareCategoryKernel("IsTransformation",
        IsMultiplicativeElementWithInverse and IsAssociativeElement,
        IS_TRANS);

DeclareCategoryCollections( "IsTransformation" );
DeclareCategoryCollections( "IsTransformationCollection" );

BIND_GLOBAL("TransformationFamily", NewFamily("TransformationFamily",
 IsTransformation, CanEasilySortElements, CanEasilySortElements));

DeclareRepresentation( "IsTrans2Rep", IsInternalRep );
DeclareRepresentation( "IsTrans4Rep", IsInternalRep );

BIND_GLOBAL("TYPE_TRANS2", NewType(TransformationFamily,
 IsTransformation and IsTrans2Rep));

BIND_GLOBAL("TYPE_TRANS4", NewType(TransformationFamily,
 IsTransformation and IsTrans4Rep));