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Proof step 5 from proof subarray-split-first (previous step)

n0 + m < # ar ⊦ subarray(ar, n0, m + 1) = mkarray(1)[0, ar[n0]] + subarray(ar, n0 + 1, m)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array name: Extension seq: ⊦ ar1 = ar2 ↔ # ar1 = # ar2 ∧ (∀ n. n < # ar1 → ar1[n] = ar2[n]) subst: [ar2, ar1] → [mkarray(1)[0, ar[n0]] + subarray(ar, n0 + 1, m), subarray(ar, n0, m + 1)] flags: <all paths>

Additional information

Used terms: mkarray(1)[0, ar[n0]] + subarray(ar, n0 + 1, m), subarray(ar, n0, m + 1)