(5steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc

At: trace consistent rel subst 2 2

1. r: rel()
2. as: (LabelTerm) List
3. daa: Collection(dec())
4. rho: Decl
5. te: LabelLabel
6. i:||r.args||. trace_consistent(rho;daa;te;r.args[i])
7. subst_mentions_trace(as)
8. i: ||map(t.term_subst(as;t);r.args)||
9. g:Label. term_mentions_guard(g;r.args[i]) (([[ < d daa | te(g,d.lbl) > ]] rho) List) (rho(lbl_pr( < Trace, g > )))
10. ||map(t.term_subst(as;t);r.args)|| = ||r.args||
11. g: Label
12. term_mentions_guard(g;term_subst(as;r.args[i]))

term_mentions_guard(g;r.args[i])

By: BackThruLemma' 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)

Generated subgoals:

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productlistboolassertintnatural_numberlambdaapply
functionequalsubtypeimpliesall

(5steps) PrintForm Definitions Lemmas mb automata 4 Sections GenAutomata Doc