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Proof step 21 from proof validFields-putfis (previous step)

r ∈ st, unique_al(fis), r -- sk ∈ st, sk0 ∈ fis, ∀ sk. sk ∈ fis .keys → r -- sk ∈ st ⊦ sk = _length, sk = _type, r -- sk0 ∈ st, _type ∈ fis, _length ∈ fis, sk0 ∈ fis .keys

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ sk ∈ fis .keys ↔ sk ∈ fis

Rule argument

[crewrite-arg: keys-in, F, [fis, sk] → [fis, sk0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis, sk0)]]