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Proof step 5 from proof okfieldinits-class (previous step)

okfieldinits(fs .class, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0 .keys, ∀ class0, class, ty, fieldvar. okfieldinits(class0, fis0) ∧ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys → class = class0 ⊦ class = fs .class, fs .type = abstract_type, mkfs(class, ty, fieldvar) = fs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
fs = mkfs(class1, ty0, fieldvar0), okfieldinits(class1, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0 .keys, ∀ class0, class, ty, fieldvar. okfieldinits(class0, fis0) ∧ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys → class = class0 ⊦ class = class1, ty0 = abstract_type, mkfs(class, ty, fieldvar) = fs

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class1, ty0, fieldvar0] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class1, ty0, fieldvar0)]]