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Add a bunch of trivial implications #65

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May 16, 2019
Merged

Add a bunch of trivial implications #65

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10 changes: 10 additions & 0 deletions lib/gp2obj.gd
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Original file line number Diff line number Diff line change
Expand Up @@ -14,6 +14,8 @@
##
DeclareProperty( "IsPreXModDomain", Is2DimensionalDomain );
DeclareProperty( "IsPreCat1Domain", Is2DimensionalDomain );
InstallTrueMethod( Is2DimensionalDomain, IsPreXModDomain );
InstallTrueMethod( Is2DimensionalDomain, IsPreCat1Domain );

#############################################################################
##
Expand All @@ -37,6 +39,10 @@ DeclareProperty( "IsPerm2DimensionalGroup", Is2DimensionalGroup );
DeclareProperty( "IsFp2DimensionalGroup", Is2DimensionalGroup );
DeclareProperty( "IsPc2DimensionalGroup", Is2DimensionalGroup );

InstallTrueMethod( Is2DimensionalGroup, IsPerm2DimensionalGroup );
InstallTrueMethod( Is2DimensionalGroup, IsFp2DimensionalGroup );
InstallTrueMethod( Is2DimensionalGroup, IsPc2DimensionalGroup );

#############################################################################
##
#T PreXModObjType . . . . . . . . . . . . . . . . . type for crossed modules
Expand Down Expand Up @@ -73,6 +79,7 @@ BindGlobal( "PcPreCat1ObjType",
#P IsPcPreXMod( <PM> )
##
DeclareProperty( "IsPreXMod", Is2DimensionalGroup );
InstallTrueMethod( Is2DimensionalGroup, IsPreXMod );
DeclareSynonym( "IsPermPreXMod", IsPreXMod and IsPerm2DimensionalGroup );
DeclareSynonym( "IsFpPreXMod", IsPreXMod and IsFp2DimensionalGroup );
DeclareSynonym( "IsPcPreXMod", IsPreXMod and IsPc2DimensionalGroup );
Expand All @@ -85,6 +92,7 @@ DeclareSynonym( "IsPcPreXMod", IsPreXMod and IsPc2DimensionalGroup );
#P IsPcXMod( <XM> )
##
DeclareProperty( "IsXMod", IsPreXMod );
InstallTrueMethod( IsPreXMod, IsXMod );
DeclareSynonym( "IsPermXMod", IsXMod and IsPerm2DimensionalGroup );
DeclareSynonym( "IsFpXMod", IsXMod and IsFp2DimensionalGroup );
DeclareSynonym( "IsPcXMod", IsXMod and IsPc2DimensionalGroup );
Expand All @@ -97,6 +105,7 @@ DeclareSynonym( "IsPcXMod", IsXMod and IsPc2DimensionalGroup );
#P IsPcPreCat1Group( <PCG> )
##
DeclareProperty( "IsPreCat1Group", Is2DimensionalGroup );
InstallTrueMethod( Is2DimensionalGroup, IsPreCat1Group );
DeclareSynonym( "IsPermPreCat1Group",
IsPreCat1Group and IsPerm2DimensionalGroup );
DeclareSynonym( "IsFpPreCat1Group", IsPreCat1Group and IsFp2DimensionalGroup );
Expand All @@ -110,6 +119,7 @@ DeclareSynonym( "IsPcPreCat1Group", IsPreCat1Group and IsPc2DimensionalGroup );
#P IsPcCat1Group( <CG> )
##
DeclareProperty( "IsCat1Group", IsPreCat1Group );
InstallTrueMethod( IsPreCat1Group, IsCat1Group );
DeclareSynonym( "IsPermCat1Group", IsCat1Group and IsPerm2DimensionalGroup );
DeclareSynonym( "IsFpCat1Group", IsCat1Group and IsFp2DimensionalGroup );
DeclareSynonym( "IsPcCat1Group", IsCat1Group and IsPc2DimensionalGroup );
Expand Down
4 changes: 4 additions & 0 deletions lib/gp2up.gd
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Expand Up @@ -58,6 +58,8 @@ DeclareAttribute( "UpImagePositions", IsUp2DimensionalMapping );
DeclareProperty( "IsDerivation", IsUp2DimensionalMapping );
DeclareProperty( "IsSection", IsUp2DimensionalMapping );

InstallTrueMethod( IsUp2DimensionalMapping, IsDerivation );
InstallTrueMethod( IsUp2DimensionalMapping, IsSection );

##############################################################################
## Derivations ##
Expand Down Expand Up @@ -119,6 +121,8 @@ DeclareOperation( "WhiteheadOrder", [ IsUp2DimensionalMapping ] );
##
DeclareProperty( "IsRegularDerivation", IsDerivation );

InstallTrueMethod( IsDerivation, IsRegularDerivation );

##############################################################################
##
#A SourceEndomorphism upmapping determines endomorphism of source group
Expand Down
1 change: 1 addition & 0 deletions lib/gp3obj.gd
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Expand Up @@ -123,6 +123,7 @@ DeclareOperation( "PreCrossedSquareObj",
##
DeclareProperty( "IsPreCrossedSquare", IsHigherDimensionalGroup );
DeclareProperty( "IsCrossedSquare", IsHigherDimensionalGroup );
InstallTrueMethod( IsHigherDimensionalGroup, IsPreCrossedSquare );
InstallTrueMethod( IsPreCrossedSquare, IsCrossedSquare );

#############################################################################
Expand Down