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Proof step 6 from proof validstatfields-put-statfield-01 (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), ∀ sk1, class0, ty0, fieldvar0, str0, st0, val0. sk1 .fs = mkfs(class0, ty0, fieldvar0) ∧ (¬ is_fskey(sk1) ∨ ty0 ≠ void_type ∨ fieldvar0 ≠ `initstate' .field ∧ sk1 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str0, sks0, st0[jvmref -- sk1, val0]) ↔ validstatfields(str0, sks0, st0)) ∨ sk1 ∈ sks0, is_indexkey(sk) ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ sk = sk0, validstatfield(str, sk0, st) ∧ validstatfields(str, sks0, st[jvmref -- sk, val]) ↔ validstatfield(str, sk0, st) ∧ validstatfields(str, sks0, st), sk ∈ sks0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
sk .fs = mkfs(class, ty, fieldvar), validstatfield(str, sk0, st), is_indexkey(sk) ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field), ∀ sk1, class0, ty0, fieldvar0, str0, st0, val0. sk1 .fs = mkfs(class0, ty0, fieldvar0) ∧ (¬ is_fskey(sk1) ∨ ty0 ≠ void_type ∨ fieldvar0 ≠ `initstate' .field ∧ sk1 .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field)) → (validstatfields(str0, sks0, st0[jvmref -- sk1, val0]) ↔ validstatfields(str0, sks0, st0)) ∨ sk1 ∈ sks0, is_indexkey(sk) ∨ ty ≠ void_type ∨ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ∧ (is_indexkey(sk0) ∨ class ≠ sk0 .fs .class ∨ fieldvar ≠ `initstate' .field) ⊦ validstatfields(str, sks0, st[jvmref -- sk, val]) ↔ validstatfields(str, sks0, st), sk = sk0, sk ∈ sks0

Rule argument

[emptyarg]

Additional information

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