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Proof step 10 from proof initsubset-put-statfield-01 (previous step)

tdname∃(str, class2), initdone(class2, st0), validstatfields(str, statfields(class2), st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field), class ≠ class3 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class2 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class1 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class0 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ `java.lang.Object' .class ∨ ty ≠ void_type ∨ fieldvar ≠ `uninit' .field, initdone(class0, st) → initdone(class0, st0), initerror(class1, st) → initerror(class1, st0) ⊦ initdone(class2, st), validstatfields(str, statfields(class2), st0[jvmref -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ validstatfields(str, sks, st) ∧ (¬ sk ∈ statfields(sk .fs .class) ∨ ¬ tdname∃(str, sk .fs .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)) → validstatfields(str, sks, st[jvmref -- sk, val])

Rule argument

[crewrite-arg: validstatfields-put-statfield-03 , F , [val, sk, st, sks, str] → [val, mkfs(class, ty, fieldvar) ', st0, statfields(class2), str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .class = class], [CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .field = fieldvar], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (val, mkfs(class, ty, fieldvar) ', st0, statfields(class2), str)]]