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Proof step 9 from proof normal-lookup-02 (previous step)

normalmode(st), ∀ rk. rk ∈ st → rk .ref ≠ r ⊦ r = jvmref, normalmode(st[r -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ normalmode(st) ↔ _mode ∈ st ∧ st[_mode] = noval
Proof step 8:
normalmode(st), ∀ rk. rk ∈ st → rk .ref ≠ r ⊦ r = jvmref, _mode ∈ st[r -- sk, val] ∧ (st[r -- sk, val][_mode]) = noval

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- sk, val])]]