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Proof step 4 from proof lookup-four (conclusion)

⊦ st[r -- (sk ' + sk0 ' + sk1 ' + sk2 ')] = st[st[st[st[r -- sk] .refval -- sk0] .refval -- sk1] .refval -- sk2]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st[r -- (sk ' + sk0 ' + sks)] = st[st[r -- sk] .refval -- (sk0 ' + sks)]
Proof step 3:
⊦ st[st[r -- sk] .refval -- (sk0 ' + sk1 ' + sk2 ')] = st[st[st[st[r -- sk] .refval -- sk0] .refval -- sk1] .refval -- sk2]

Rule argument

[crewrite-arg: lookup-rec , F , [sks, sk0, sk, r, st] → [sk1 ' + sk2 ', sk0, sk, r, st] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk1 ' + sk2 ', sk0, sk, r, st)]]