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Proof step 5 from proof ls-datasize-zero (previous step)

n ≤ # buf, ∀ n0. n0 < n → buf[n0] = empty ⊦ buf = mkempbuf(n) + subarray(buf, n, # buf - n)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
# buf = n1 + n, n ≤ # buf, ∀ n0. n0 < n → buf[n0] = empty ⊦ buf = mkempbuf(n) + subarray(buf, n, n1)

Rule argument

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

Additional information

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