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Proof step 4 from proof add-field-same-02 (previous step)

⊦ r -- mkfs(str0 .class, ty0, fieldvar0) ' = r -- mkfs(str .class, ty, fieldvar) ', str = str0, (addobj(r, class, fis, st)[r -- mkfs(str .class, ty, fieldvar) ', val][r -- mkfs(str0 .class, ty0, fieldvar0) ']) = (addobj(r, class, fis, st)[r -- mkfs(str0 .class, ty0, fieldvar0) '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ str = str0, (addobj(r, class, fis, st)[r -- mkfs(str .class, ty, fieldvar) ', val][r -- mkfs(str0 .class, ty0, fieldvar0) ']) = (addobj(r, class, fis, st)[r -- mkfs(str0 .class, ty0, fieldvar0) '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ stringvar .class = stringvar0 .class ↔ stringvar = stringvar0], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]