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This domain provides a function-like type that can be queried for domain and co-domain.

aldor
#include "axiom.as"
T ==> SetCategory;
Signature(source:T, target:T): with { domain:%->T; codomain:%->T; coerce:(source->target) -> %; coerce:%->(source->target); coerce:%->OutputForm; } == (source->target) add { Rep == (source->target);
domain(p:%):T == source; codomain(p:%):T == target; coerce(r:(source->target)):% == per(r); coerce(p:%):(source->target) == p pretend (source->target); coerce(p:%):OutputForm == p pretend OutputForm; };
aldor
   Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/sig.as using 
      AXIOM-XL compiler and options 
-O -Fasy -Fao -Flsp -laxiom -Mno-ALDOR_W_WillObsolete -DAxiom -Y $AXIOM/algebra -I $AXIOM/algebra
      Use the system command )set compiler args to change these 
      options.
   The )library system command was not called after compilation.

aldor
#include "axiom.as"
T ==> SetCategory;
Signature2(source1:T, source2:T, target:T): with { domain:%->T; codomain:%->T; coerce:((source1,source2)->target) -> %; coerce:%->((source1,source2)->target); coerce:%->OutputForm; } == ((source1,source2)->target) add { Rep == ((source1,source2)->target);
domain(p:%):T == Product(source1,source2); codomain(p:%):T == target; coerce(r:(source1,source2)->target):% == per(r); coerce(p:%):((source1,source2)->target) == p pretend ((source1,source2)->target); coerce(p:%):OutputForm == p pretend OutputForm; }
aldor
   Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/sig2.as using
      AXIOM-XL compiler and options 
-O -Fasy -Fao -Flsp -laxiom -Mno-ALDOR_W_WillObsolete -DAxiom -Y $AXIOM/algebra -I $AXIOM/algebra
      Use the system command )set compiler args to change these 
      options.
   The )library system command was not called after compilation.

fricas
f:Signature(Float, Integer)
There are no library operations named Signature Use HyperDoc Browse or issue )what op Signature to learn if there is any operation containing " Signature " in its name.
Cannot find a definition or applicable library operation named Signature with argument type(s) Type Type
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

fricas
f2:Signature2(Float,Float, Float)
There are no library operations named Signature2 Use HyperDoc Browse or issue )what op Signature2 to learn if there is any operation containing " Signature2 " in its name.
Cannot find a definition or applicable library operation named Signature2 with argument type(s) Type Type Type
Perhaps you should use "@" to indicate the required return type, or "$" to specify which version of the function you need.

Try this is Axiom SandBoxMorphism




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