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Proof step 3 from proof copy-stream-append (previous step)

n1 + m ≤ # buf1, n0 + m ≤ # buf0 ⊦ ⌜copy(buf0, n0, buf1, n1, m)⌝ = (⌜buf1⌝ to n1) + ((⌜buf0⌝ from n0) to m) + ((⌜buf1⌝ from n1 + m) to (# buf1 - n1 + m))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# buf1 = n2 + n1 + m, n0 + m ≤ # buf0, n1 + m ≤ # buf1 ⊦ ⌜copy(buf0, n0, buf1, n1, m)⌝ = (⌜buf1⌝ to n1) + ((⌜buf0⌝ from n0) to m) + ((⌜buf1⌝ from n1 + m) to n2)

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [# buf1, n1 + m, n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf1, n1 + m, n