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Proof step 8 from proof validstatfields-put-statfield-02 (previous step)

sk ≠ sk0 ∧ ( ¬ is_fskey(sk) ∨ sk .fs .type ≠ void_type ∨ sk .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk0) ∨ sk .fs ≠ mkfs(sk0 .fs .class, void_type, `initstate' .field))), sk .fs = mkfs(class, ty, fieldvar), is_fskey(sk), validstatfields(str, sks, st), validstatfield(str, sk, st[jvmref -- sk, val]), sk0 ∈ sks, fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∨ ty ≠ void_type ⊦ validstatfield(str, sk0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ is_indexkey(sk) → ¬ validstatfield(str, sk, st)
Proof step 7:
sk .fs = mkfs(class, ty, fieldvar), sk0 ∈ sks, validstatfield(str, sk, st[jvmref -- sk, val]), validstatfields(str, sks, st), is_fskey(sk), fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∨ ty ≠ void_type, (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∧ (is_indexkey(sk0) ∨ class ≠ sk0 .fs .class ∨ fieldvar ≠ `initstate' .field) ∨ ty ≠ void_type ⊦ sk = sk0, validstatfield(str, sk0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]