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Proof step 2 from proof put-put-first-01 (previous step)

⊦ sks = [], (st[r -- sk, val][r -- (sk ' + sks), val0]) = (st[r -- sk, val][val .refval -- sks, val0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ sks ≠ [] → st[r -- (sk ' + sks), val] = st[st[r -- sk] .refval -- sks, val]

Rule argument

[crewrite-arg: put-rec-01 , F , [val, sks, sk, r, st] → [val0, sks, sk, r, st[r -- sk, val]] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk]) = val])], [EXTRATERMS : (val0, sks, sk, r, st[r -- sk, val])]]