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Proof step 11 from proof okfieldinits-class (previous step)

okfieldinits(class0, fv ' + fis0), ∀ class0, class, ty, fieldvar. okfieldinits(class0, fis0) ∧ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys → class = class0 ⊦ class = class0, mkfs(class, ty, fieldvar) ' ≠ fv .1 ∧ ¬ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
fv = sk × val, okfieldinits(class0, fv ' + fis0), ∀ class0, class, ty, fieldvar. okfieldinits(class0, fis0) ∧ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys → class = class0 ⊦ class = class0, mkfs(class, ty, fieldvar) ' ≠ sk ∧ ¬ mkfs(class, ty, fieldvar) ' ∈ fis0 .keys

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk, val] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val)]]