(* Title: Pure/morphism.ML ID: $Id$ Author: MakariusAbstract morphisms on formal entities.*)infix 1 $>signature BASIC_MORPHISM =sig type morphism type declaration = morphism -> Context.generic -> Context.generic val $> : morphism * morphism -> morphismendsignature MORPHISM =sig include BASIC_MORPHISM val var: morphism -> Name.binding * mixfix -> Name.binding * mixfix val name: morphism -> Name.binding -> Name.binding val typ: morphism -> typ -> typ val term: morphism -> term -> term val fact: morphism -> thm list -> thm list val thm: morphism -> thm -> thm val cterm: morphism -> cterm -> cterm val morphism: {name: Name.binding -> Name.binding, var: Name.binding * mixfix -> Name.binding * mixfix, typ: typ -> typ, term: term -> term, fact: thm list -> thm list} -> morphism val name_morphism: (Name.binding -> Name.binding) -> morphism val var_morphism: (Name.binding * mixfix -> Name.binding * mixfix) -> morphism val typ_morphism: (typ -> typ) -> morphism val term_morphism: (term -> term) -> morphism val fact_morphism: (thm list -> thm list) -> morphism val thm_morphism: (thm -> thm) -> morphism val identity: morphism val compose: morphism -> morphism -> morphism val transform: morphism -> (morphism -> 'a) -> morphism -> 'a val form: (morphism -> 'a) -> 'aend;structure Morphism: MORPHISM =structdatatype morphism = Morphism of {name: Name.binding -> Name.binding, var: Name.binding * mixfix -> Name.binding * mixfix, typ: typ -> typ, term: term -> term, fact: thm list -> thm list};type declaration = morphism -> Context.generic -> Context.generic;fun name (Morphism {name, ...}) = name;fun var (Morphism {var, ...}) = var;fun typ (Morphism {typ, ...}) = typ;fun term (Morphism {term, ...}) = term;fun fact (Morphism {fact, ...}) = fact;val thm = singleton o fact;val cterm = Drule.cterm_rule o thm;val morphism = Morphism;fun name_morphism name = morphism {name = name, var = I, typ = I, term = I, fact = I};fun var_morphism var = morphism {name = I, var = var, typ = I, term = I, fact = I};fun typ_morphism typ = morphism {name = I, var = I, typ = typ, term = I, fact = I};fun term_morphism term = morphism {name = I, var = I, typ = I, term = term, fact = I};fun fact_morphism fact = morphism {name = I, var = I, typ = I, term = I, fact = fact};fun thm_morphism thm = morphism {name = I, var = I, typ = I, term = I, fact = map thm};val identity = morphism {name = I, var = I, typ = I, term = I, fact = I};fun compose (Morphism {name = name1, var = var1, typ = typ1, term = term1, fact = fact1}) (Morphism {name = name2, var = var2, typ = typ2, term = term2, fact = fact2}) = morphism {name = name1 o name2, var = var1 o var2, typ = typ1 o typ2, term = term1 o term2, fact = fact1 o fact2};fun phi1 $> phi2 = compose phi2 phi1;fun transform phi f = fn psi => f (phi $> psi);fun form f = f identity;end;structure BasicMorphism: BASIC_MORPHISM = Morphism;open BasicMorphism;