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Proof step 5 from proof validFields-put-01 (previous step)

sk ∈ fis .keys, unique_al(fis) ⊦ hasKeys(r, fis .keys, st[r -- sk, val]) ↔ hasKeys(r, fis .keys, st), sk ∈ fis, _length ∈ fis, _type ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ sk ∈ fis .keys ↔ sk ∈ fis

Rule argument

[crewrite-arg: keys-in, F, [fis, sk] → [fis, sk]]

Additional information

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