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Proof step 14 from proof init-put-index (conclusion)

⊦ init(str, st[r -- i ', val]) ↔ init(str, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init(str, st) ↔ (∀ class. tdname∃(str, class) → initdone(class, st))
Proof step 13:
⊦ (∀ class. tdname∃(str, class) → initdone(class, st[r -- i ', val])) ↔ init(str, st)

Rule argument

[crewrite-arg: init-existing, F, [st, str] → [st[r -- i ', val], str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- i ', val], str)]]