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Proof step 6 from proof rev-at (previous step)

# ar = n0 + n + 1, n < # ar ⊦ # ar = 0, rev(ar, # ar)[n] = ar[n0]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ m < n ∧ n ≤ # ar → rev(ar, n)[m] = ar[# ar - m + 1]
Proof step 8:
n < # ar ∧ # ar ≤ # ar, # ar = n0 + n + 1, n < # ar ⊦ # ar = 0, ar[# ar - n + 1] = ar[n0]

Rule argument

spec: inst: name: rev-at-h seq: ⊦ m < n ∧ n ≤ # ar → rev(ar, n)[m] = ar[# ar - m + 1] subst: [m, n, ar] → [n, # ar, ar] flags: rewrite, current

Additional information

Used simplifier rules: ler: ⊦ m ≤ m; from specification nat Used terms: n, # ar, ar