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Proof step 29 from proof refine-read (previous step)

avols[default-volid][m2] = mapped(buf0, n1), m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n1 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, m1 + n2 ≤ LEB_SIZE, m1 + n2 ≤ n1 + (LEB_SIZE - n1) ⊦ copy(buf0, m1, buf2, n3, n2) = copy(subarray(buf0, 0, n1) + mkempbuf(LEB_SIZE - n1), m1, buf2, n3, n2)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
LEB_SIZE = n0 + n1, avols[default-volid][m2] = mapped(buf0, n1), m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, m1 + n2 ≤ n1 + n0, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ # buf2, n1 ≤ LEB_SIZE ⊦ copy(buf0, m1, buf2, n3, n2) = copy(subarray(buf0, 0, n1) + mkempbuf(n0), m1, buf2, n3, n2)

Rule argument

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

Additional information

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