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Proof step 9 from proof prepost-read-lebs (previous step)

# buf = m0 * LEB_SIZE, buf0 = mkbuf(m0 * m), err = ESUCCESS, err0 = ESUCCESS, m = LEB_SIZE, m0 = m2, m1 = n0, n = n1, n2 = 0, n < m0, ebm-vol-inv(avol), mapped-full?(avol, n0, m2), mapped-full?(avol, m1, m0), n0 + m2 ≤ # avol, n ≤ m0, m1 + m0 ≤ # avol, err = ESUCCESS → subarray(buf, 0, n * LEB_SIZE) = lebs(avol, m1, n), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪ebm_avol_read#(m1 + n, 0, n * m, m, avol; buf; err); n := n + 1⟫ ( ( n ≤ m0 ∧ # buf = m0 * LEB_SIZE ∧ m1 + m0 ≤ # avol ∧ ebm-vol-inv(avol) ∧ mapped-full?(avol, m1, m0) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, 0, n * LEB_SIZE) = lebs(avol, m1, n))) ∧ m0 - n < m0 - n1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# buf = m2 * LEB_SIZE, subarray(buf, 0, n1 * LEB_SIZE) = lebs(avol, n0, n1), n1 < m2, ebm-vol-inv(avol), mapped-full?(avol, n0, m2), n0 + m2 ≤ # avol ⊦ ⟪ebm_avol_read#(n0 + n1, 0, n1 * LEB_SIZE, LEB_SIZE, avol; buf; err); n := n1 + 1⟫ ( n ≤ m2 ∧ # buf = m2 * LEB_SIZE ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, 0, n * LEB_SIZE) = lebs(avol, n0, n)) ∧ m2 < (m2 - n1) + n)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%n0 ≤ n ⊦ n - n0 < m ↔ n < m + n0; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m < n → m ≤ n; (s)