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Proof step 68 from proof refine-write (previous step)

avols[default-volid][m2] = mapped(buf0, n2), avol = abs(avols[default-volid]), err = err0, err = ESUCCESS, n = 0, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n2 ≤ m1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨ebm_avol_write#(m2, m1, n3, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid]) ∧ err = err1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 69:
avols[default-volid][m2] = mapped(buf0, n2), avol = abs(avols[default-volid]), m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n2 ≤ m1, m1 ≤ LEB_SIZE, n3 ≤ # buf, n2 ≤ LEB_SIZE ⊦ ⟨ebm_avol_write#(m2, m1, n3, 0, buf; avol; err1)⟩ (avol = abs(avols[default-volid]) ∧ ESUCCESS = err1)

Rule argument

Additional information

Used simplifier rules: let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)%n ≠ 0 ⊦ is-aligned(0, n); (s)% ⊦ EB_PAGE_SIZE ≠ 0; (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)