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Proof step 3 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_vol_change#(m, n, buf, default-volid; avols; err)⟫ ⟨ebm_avol_change#(m, n, buf; avol; err0)⟩ (avol = abs(avols[default-volid]) ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
avol = abs(avols[default-volid]), v = 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 ⊦ ⟪if m < # avols[v] ∧ n ≤ LEB_SIZE ∧ n ≤ # buf ∧ is-aligned(n, EB_PAGE_SIZE) then ebm_change#(v, m, n, buf; avols; err) else abort⟫ ⟨ebm_avol_change#(m, n, buf; avol; err0)⟩ (avol = abs(avols[default-volid]) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_vol_change#(LNUM, N, BUF, VOLID; AVOLS; ERR) {if LNUM < # AVOLS[VOLID] ∧ N ≤ LEB_SIZE ∧ N ≤ # BUF ∧ is-aligned(N, EB_PAGE_SIZE) then ebm_change#(VOLID, LNUM, N, BUF; AVOLS; ERR) else abort };