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/usr/share/gap/lib/pperm.g is in gap-libs 4r7p5-2.

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DeclareCategoryKernel("IsPartialPerm", IsMultiplicativeElementWithInverse 
and IsAssociativeElement, IS_PPERM);

DeclareCategoryCollections( "IsPartialPerm" );
DeclareCategoryCollections( "IsPartialPermCollection" );

BIND_GLOBAL("PartialPermFamily", NewFamily("PartialPermFamily",
 IsPartialPerm, CanEasilySortElements, CanEasilySortElements));

DeclareRepresentation( "IsPPerm2Rep", IsInternalRep, [] );
DeclareRepresentation( "IsPPerm4Rep", IsInternalRep, [] );

BIND_GLOBAL("TYPE_PPERM2", NewType(PartialPermFamily,
 IsPartialPerm and IsPPerm2Rep));

BIND_GLOBAL("TYPE_PPERM4", NewType(PartialPermFamily,
 IsPartialPerm and IsPPerm4Rep));