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Proof step 8 from proof cut (previous step)

⊦ ar = [], # ar = #(ar[0] + ar.rest) ∧ (n < # ar → ar[n] = (ar[0] + ar.rest)[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ ar.rest = subarray(ar, 1, # ar - 1)
Proof step 10:
⊦ ar = [], # ar = #(ar[0] + subarray(ar, 1, # ar - 1)) ∧ (n < # ar → ar[n] = (ar[0] + subarray(ar, 1, # ar - 1))[n])

Rule argument

spec: inst: name: rest seq: ⊦ ar.rest = subarray(ar, 1, # ar - 1) subst: [ar] → [ar] flags: rewrite, current

Additional information

Used terms: ar