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

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

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 4:
rk ∈ st ⊦ unique_al(fis) ∧ ¬ _type ∈ fis ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis .keys, st[rk, val]) ↔ validFields(r, fis, st)

Rule argument

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

Additional information

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