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

sk .fs = mkfs(class0, ty, fieldvar) ⊦ okfieldinits(class, (sk × val) ') ↔ ¬ is_indexkey(sk) ∧ val = initial_value(ty) ∧ class0 = class ∧ ty ≠ abstract_type

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ okfieldinits(class, (sk × val) ' + fis) ↔ is_fskey(sk) ∧ val = initial_value(sk .fs .type) ∧ sk .fs .class = class ∧ sk .fs .type ≠ abstract_type ∧ okfieldinits(class, fis)
Proof step 4:
okfieldinits(class, (sk × val) ' + []) ↔ is_fskey(sk) ∧ val = initial_value(sk .fs .type) ∧ sk .fs .class = class ∧ sk .fs .type ≠ abstract_type ∧ okfieldinits(class, []), sk .fs = mkfs(class0, ty, fieldvar) ⊦ okfieldinits(class, (sk × val) ') ↔ ¬ is_indexkey(sk) ∧ val = initial_value(ty) ∧ class0 = class ∧ ty ≠ abstract_type

Rule argument

[LEMMAARG : okfieldinits-rec, [class, sk, val, fis] → [class, sk, val, []]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class, sk, val, [])]]