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Proof step 4 from proof okfieldinits-index (previous step)

is_indexkey(sk), okfieldinits(fs .class, fis0), sk ∈ fis0 .keys, ∀ sk0, class0. ¬ sk0 ∈ fis0 .keys ∨ ¬ okfieldinits(class0, fis0) ∨ is_fskey(sk0) ⊦ fs .type = abstract_type, sk = fs '

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
fs = mkfs(class, ty, fieldvar), is_indexkey(sk), okfieldinits(class, fis0), sk ∈ fis0 .keys, ∀ sk0, class0. ¬ sk0 ∈ fis0 .keys ∨ ¬ okfieldinits(class0, fis0) ∨ is_fskey(sk0) ⊦ ty = abstract_type, sk = fs '

Rule argument

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