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Proof step 36 from proof initsubset-put-statfield-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class. initerror(class, st) → initerror(class, st0), ∀ class. initdone(class, st) → initdone(class, st0), class ≠ `java.lang.Object' .class ∨ ty ≠ void_type ∨ fieldvar ≠ `uninit' .field, class ≠ class0 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class1 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class2 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class3 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ⊦ (initdone(class0, st) → initdone(class0, st0)) ∧ (initerror(class1, st) → initerror(class1, st0)) ∧ ( ¬ initdone(class2, st) ∧ initdone(class2, st0) ∧ tdname∃(str, class2) → validstatfields(str, statfields(class2), st0[jvmref -- mkfs(class, ty, fieldvar) ', val])) ∧ ( initdone(class3, st) ∧ initdone(class3, st0) ∧ tdname∃(str, class3) ∧ sk ∈ statfields(class3) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0[jvmref -- mkfs(class, ty, fieldvar) ', val]))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ jvmref -- sk = _uninit ↔ sk = mkfs (`java.lang.Object' .class, void_type, `uninit' .field) '])]]