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Proof step 23 from proof validstatfields-put-statfield-06 (previous step)

initdone(class, st), fs ' ∈ statfields(class), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = fs .class, class0 = class, mkfs(class0, void_type, `initstate' .field) = fs, validstatfield(str, fs ', st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
fs = mkfs(class1, ty, fieldvar), initdone(class, st), fs ' ∈ statfields(class), ∀ sk. sk ∈ statfields(class) → validstatfield(str, sk, st) ⊦ class0 = class1, class0 = class, mkfs(class0, void_type, `initstate' .field) = fs, validstatfield(str, fs ', st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class1, 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, class1, ty, fieldvar)]]