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Proof step 12 from proof validstatfields-addclass (previous step)

¬ mkfs(class0, ty, fieldvar) ' ∈ fis ∧ mkfs(class0, ty, fieldvar) ' ≠ mkfs(class0, void_type, `initstate' .field) ', ¬ mkfs(class0, ty, fieldvar) ' ∈ fis, fis .keys = statfields(class0), ∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ type∃(str, sk .fs .type) ∧ validval(str, val, sk .fs .type, st), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)) ⊦ class0 = `java.lang.Object' .class, is_fskey(mkfs(class0, ty, fieldvar) ') ∧ jvmref -- mkfs(class0, ty, fieldvar) ' ∈ addclass(class0, fis, st) ∧ okval(st[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type) ∧ type∃(str, mkfs(class0, ty, fieldvar) ' .fs .type) ∧ mkfs(class0, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class0, ty, fieldvar) ' .fs .type) → validrefval(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type, addclass(class0, fis, st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
fis .keys = statfields(class0), tdname∃(str, class0), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), initdone(class0, addclass(class0, fis, st)), ∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ type∃(str, sk .fs .type) ∧ validval(str, val, sk .fs .type, st) ⊦ class0 = `java.lang.Object' .class, ty = void_type, mkfs(class0, ty, fieldvar) ' ∈ fis, jvmref -- mkfs(class0, ty, fieldvar) ' ∈ addclass(class0, fis, st) ∧ okval(st[jvmref -- mkfs(class0, ty, fieldvar) '], ty) ∧ type∃(str, ty) ∧ (is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], ty, addclass(class0, fis, st)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ ¬ mkfs (class0, void_type, fieldvar) ' ∈ statfields(class)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0])]]