mb automata 3 Sections GenAutomata Doc

Def term_subst(as;t) == iterate(statevar v- > apply_alist(as;v;v) statevar v'- > apply_alist(as;v;v') funsymbol f- > f freevar f- > f trace(P)- > trace(P) x(y)- > x y over t)

is mentioned by

Thm* t:Term, s:SimpleType, as:(LabelTerm) List, ds:Collection(dec()) , da:Collection(SimpleType), de:sig(). s term_types(ds;da;de;t) (x:Label. (x term_vars(t)) (t:SimpleType. mk_dec(x, t) ds t term_types(ds;da;de;apply_alist(as;x;x)))) s term_types(ds;da;de;term_subst(as;t))[term_subst_tc]
Thm* t:Term, as:(LabelTerm) List. (x:Label. unprime(apply_alist(as;x;x)) = x) unprime(term_subst(as;t)) = unprime(t)[trivial_term_subst]
Thm* as:(LabelTerm) List, g:Label, t:Term. subst_mentions_trace(as) term_mentions_guard(g;term_subst(as;t)) term_mentions_guard(g;t)[term_subst_mentions_guard]

In prior sections: mb automata 2

Try larger context: GenAutomata

mb automata 3 Sections GenAutomata Doc