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Proof step 8 from proof okfieldinits-at (previous step)

sk = fs ', is_fskey(sk), okfieldinits(fs .class, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0, ∀ class, ty, fieldvar, class0. mkfs(class, ty, fieldvar) ' ∈ fis0 ∧ okfieldinits(class0, fis0) → fis0[mkfs(class, ty, fieldvar) '] = initial_value(ty) ⊦ ((sk × initial_value(fs .type)) ' + fis0)[mkfs(class, ty, fieldvar) '] = initial_value(ty), fs .type = abstract_type

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
okfieldinits(fs .class, fis0), mkfs(class, ty, fieldvar) ' ∈ fis0, ∀ class, ty, fieldvar, class0. mkfs(class, ty, fieldvar) ' ∈ fis0 ∧ okfieldinits(class0, fis0) → fis0[mkfs(class, ty, fieldvar) '] = initial_value(ty) ⊦ ((fs ' × initial_value(fs .type)) ' + fis0)[mkfs(class, ty, fieldvar) '] = initial_value(ty), fs .type = abstract_type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])]]