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Proof step 4 from proof at-put-first-04 (previous step)

⊦ sks0 = [], (st[r -- (sk ' + sk0 '), val][st[r -- sk] .refval -- (sk0 ' + sks0)]) = (st[r -- (sk ' + sk0 '), val][val .refval -- sks0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st[r -- (sk ' + sk0 '), val] = st[st[r -- sk] .refval -- sk0, val]
Proof step 3:
⊦ sks0 = [], (st[st[r -- sk] .refval -- sk0, val][st[r -- sk] .refval -- (sk0 ' + sks0)]) = (st[st[r -- sk] .refval -- sk0, val][val .refval -- sks0])

Rule argument

[crewrite-arg: put-two , F , [val, sk0, sk, r, st] → [val, sk0, sk, r, st] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, sk0, sk, r, st)]]