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

st[_mode] = noval ⊦ r = jvmref, validmode(str, st[r -- sk, val]) ↔ _mode ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st[_mode] = noval ∧ rk ≠ _mode → (validmode(str, st[rk, val]) ↔ _mode ∈ st)

Rule argument

[crewrite-arg: validmode-noval-put , F , [val, rk, st, str] → [val, r -- sk, st, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → _mode ≠ r -- sk])], [EXTRATERMS : (val, r -- sk, st, str)]]