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Proof step 27 from proof validFields-putfis (previous step)

r ∈ st, unique_al(fis), r -- sk ∈ st, hasKeys(r, fis .keys, st), sk0 ∈ fis[sk, val] .keys ⊦ sk = _length, sk = _type, r -- sk0 ∈ st, _type ∈ fis, _length ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ sk ∈ fis .keys ↔ sk ∈ fis
Proof step 26:
r ∈ st, unique_al(fis), r -- sk ∈ st, hasKeys(r, fis .keys, st), sk0 ∈ fis[sk, val] ⊦ sk = _length, sk = _type, r -- sk0 ∈ st, _type ∈ fis, _length ∈ fis

Rule argument

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

Additional information

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