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Proof step 13 from proof ac-lookup-06 (previous step)

∀ sk, class, st, r. sk = mkfs(class, void_type, `initstate' .field) ' ∨ (addclass(class, fis0, st)[r -- sk]) = st[r -- sk] ∨ sk ∈ fis0 ⊦ sk = mkfs(class, void_type, `initstate' .field) ', (addclass(class, fis0, st)[r -- sk]) = st[r -- sk], sk = fs ', fs .class = class, sk ∈ fis0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
fs = mkfs(class0, ty, fieldvar), ∀ sk, class, st, r. sk = mkfs(class, void_type, `initstate' .field) ' ∨ (addclass(class, fis0, st)[r -- sk]) = st[r -- sk] ∨ sk ∈ fis0 ⊦ sk = mkfs(class, void_type, `initstate' .field) ', (addclass(class, fis0, st)[r -- sk]) = st[r -- sk], sk = fs ', class0 = class, sk ∈ fis0

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class0, ty, fieldvar)]]