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Proof step 16 from proof refine-change (previous step)

avol = abs(avols[default-volid]), m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, n ≤ LEB_SIZE, n ≤ # buf ⊦ ⟨ebm_avol_change#(m, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid][m, mapped(subarray(buf, 0, n) + mkempbuf(LEB_SIZE - n), n)]) ∧ ESUCCESS = err1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
LEB_SIZE = n0 + n, avol = abs(avols[default-volid]), m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, n ≤ # buf, n ≤ LEB_SIZE ⊦ ⟨ebm_avol_change#(m, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid][m, mapped(subarray(buf, 0, n) + mkempbuf(n0), n)]) ∧ ESUCCESS = err1)

Rule argument

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

Additional information

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