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Proof step 43 from proof validstatfields-put-statfield-06 (previous step)

sk .fs = mkfs(class0, ty, fieldvar), is_indexkey(sk) ∨ ty ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∧ (class0 ≠ class ∨ fieldvar ≠ `initstate' .field) ⊦ validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ sk ∈ sks ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str, sks, st[jvmref -- sk, val]) ↔ validstatfields(str, sks, st))
Proof step 42:
¬ ( ¬ sk ∈ statfields(class) ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs .field ≠ `initstate' .field ∧ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field))), sk .fs = mkfs(class0, ty, fieldvar), is_indexkey(sk) ∨ ty ≠ void_type ∨ (class0 ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∧ (class0 ≠ class ∨ fieldvar ≠ `initstate' .field) ⊦ validstatfields(str, statfields(class), st[jvmref -- sk, val]) ↔ validstatfields(str, statfields(class), st), sk ∈ statfields(class)

Rule argument

[crewrite-arg: validstatfields-put-statfield-01 , F , [val, sk, st, sks, str] → [val, sk, st, statfields(class), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, sk, st, statfields(class), str)]]