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Proof step 15 from proof refine-change (previous step)

avol = abs(avols[default-volid]), err = err0, err = ESUCCESS, m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, 0 + n ≤ # buf, n ≤ LEB_SIZE, n ≤ # buf, LEB_SIZE ≥ n, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨ebm_avol_change#(m, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid, avols[default-volid][m, mapped(subarray(buf, 0, n) + mkempbuf(LEB_SIZE - n), n)]][default-volid]) ∧ err = err1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
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)

Rule argument

Additional information

Used simplifier rules: ⊦ avols[v, evol][v] = evol; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)