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Proof step 12 from proof validmode-put-statfield (previous step)

_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) '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
⊦ sk = mkfs(`java.lang.Object' .class, void_type, `mode' .field) ', _mode ∈ st ∧ validmode(str, st[_mode], st[jvmref -- sk, val]) ↔ validmode(str, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ _mode = jvmref -- sk ↔ sk = mkfs (`java.lang.Object' .class, void_type, `mode' .field) '], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]