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Proof step 26 from proof validFields-putfis (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ sk ∈ fis[sk0, val] ↔ sk = sk0 ∨ sk ∈ fis
Proof step 25:
r ∈ st, unique_al(fis), r -- sk ∈ st, hasKeys(r, fis .keys, st), sk0 = sk ∨ sk0 ∈ fis ⊦ sk = _length, sk = _type, r -- sk0 ∈ st, _type ∈ fis, _length ∈ fis

Rule argument

[speclemmaarg: ,sk ∈ fis[sk0, val] ↔ sk = sk0 ∨ sk ∈ fis ,[val, sk0, fis, sk] → [val, sk, fis, sk0] ,F ,assoclist ,fieldinit ,in-put ]

Additional information

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