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Proof step 2 from proof validmode-01 (previous step)

validmode(str, st) ⊦ _mode ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validmode(str, st) ↔ _mode ∈ st ∧ validmode(str, st[_mode], st)

Rule argument

[crewrite-arg: validmode-def, F, [st, str] → [st, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, str)]]