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Proof step 20 from proof validstatfield-put-statfield (previous step)

sk0 .fs = mkfs(class, ty, fieldvar), sk .fs = mkfs(class0, ty0, fieldvar0), sk0 ∈ statfields(class), tdname∃(str, class), is_fskey(sk0), is_indexkey(sk) ∨ ty0 ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar0 ≠ `uninit' .field) ∧ (is_indexkey(sk0) ∨ class0 ≠ class ∨ fieldvar0 ≠ `initstate' .field) ⊦ sk = sk0, initdone(class, st[jvmref -- sk, val]) → validfield(str, jvmref, sk0, st[jvmref -- sk, val]) ↔ initdone(class, st) → validfield(str, jvmref, sk0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
sk0 = fs ', fs = mkfs(class, ty, fieldvar), sk .fs = mkfs(class0, ty0, fieldvar0), sk0 ∈ statfields(class), tdname∃(str, class), is_fskey(sk0), is_indexkey(sk) ∨ ty0 ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar0 ≠ `uninit' .field) ∧ (is_indexkey(sk0) ∨ class0 ≠ class ∨ fieldvar0 ≠ `initstate' .field) ⊦ sk = sk0, initdone(class, st[jvmref -- sk, val]) → validfield(str, jvmref, sk0, st[jvmref -- sk, val]) ↔ initdone(class, st) → validfield(str, jvmref, sk0, st)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk0, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk0, fs)]]