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Proof step 13 from proof validmode-put-statfield (previous step)

⊦ _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) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 12:
_mode ≠ jvmref -- sk ⊦ _mode ∈ st[jvmref -- sk, val] ∧ validmode(str, st[_mode], st[jvmref -- sk, val]) ↔ validmode(str, st), sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) '

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [_mode, val, jvmref -- sk, st] ,F ,store ,javastore ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ _mode = jvmref -- sk ↔ sk = mkfs (`java.lang.Object' .class, void_type, `mode' .field) '])], [EXTRATERMS : (_mode, val, jvmref -- sk, st)]]