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Proof step 13 from proof isobj-addobj-04 (previous step)

sk .fs = mkfs(class0, ty, fieldvar), validfieldinits(fis, st), sk ∈ fis .keys ⊦ r = jvmref, sk ∈ fis, ¬ is_indexkey(sk) ∧ (sk = _type ∨ r -- sk ∈ st) ∧ okval(addobj(r, class, fis, st)[r -- sk], ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ sk ∈ fis ↔ sk ∈ fis .keys

Rule argument

[speclemmaarg: ,sk ∈ fis ↔ sk ∈ fis .keys ,[fis, sk] → [fis, sk] ,F ,okfuns , ,keys-in-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis, sk)]]