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Proof step 9 from proof validFields-put-01 (previous step)

⊦ validFields(r, fis, st[r -- sk, val]) ↔ validFields(r, fis, st), sk ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validFields(r, fis, st) ↔ unique_al(fis) ∧ ¬ _type ∈ fis ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis .keys, st)
Proof step 8:
⊦ unique_al(fis) ∧ ¬ _type ∈ fis ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis .keys, st[r -- sk, val]) ↔ validFields(r, fis, st), sk ∈ fis

Rule argument

[crewrite-arg: validFields , F , [st, fis, r] → [st[r -- sk, val], fis, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- sk, val], fis, r)]]