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Proof step 16 from proof validmode-put-statfield (previous step)

⊦ validmode(str, st[jvmref -- sk, val]) ↔ validmode(str, st), sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) '

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)
Proof step 15:
⊦ _mode ∈ st[jvmref -- sk, val] ∧ validmode(str, st[jvmref -- sk, val][_mode], st[jvmref -- sk, val]) ↔ validmode(str, st), sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) '

Rule argument

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

Additional information

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