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Proof step 6 from proof cut (previous step)

⊦ ar = [], # ar = #(ar.first + ar.rest) ∧ (n < # ar → ar[n] = (ar.first + ar.rest)[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ar.first = ar[0]
Proof step 8:
⊦ ar = [], # ar = #(ar[0] + ar.rest) ∧ (n < # ar → ar[n] = (ar[0] + ar.rest)[n])

Rule argument

spec: inst: name: first seq: ⊦ ar.first = ar[0] subst: [ar] → [ar] flags: rewrite, current

Additional information

Used terms: ar