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Proof step 5 from proof normal-out (conclusion)

⊦ normalmode(st[_out, val]) ↔ normalmode(st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ normalmode(st) ↔ _mode ∈ st ∧ st[_mode] = noval
Proof step 4:
⊦ _mode ∈ st[_out, val] ∧ (st[_out, val][_mode]) = noval ↔ normalmode(st)

Rule argument

[crewrite-arg: normalmode, F, [st] → [st[_out, val]]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[_out, val])]]