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Proof step 14 from proof prepost-read-lebs (previous step)

# buf = (n2 + n1) * LEB_SIZE, buf0 = buf, m = 0, m0 = n3 + n1, n = LEB_SIZE, n0 = n1 * LEB_SIZE, subarray(buf, 0, n1 * LEB_SIZE) = lebs(avol, n3, n1), avol[m0].mapped?, m0 < # avol, ebm-vol-inv(avol), mapped-full?(avol, n3, n2 + n1), n0 + n ≤ # buf0, m + n ≤ LEB_SIZE, n3 + n2 + n1 ≤ # avol, m0 < # avol → m0 < # avol ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then buf0 := copy(avol[m0].data + mkempbuf(LEB_SIZE - # avol[m0].data), m, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf0, 0, buf, 0, n0) ∧ range=(buf0, n0 + n, buf, n0 + n, # buf0 - n0 + n) in buf0 := buf; n := n1 + 1⟫ ( n ≤ n2 + n1 ∧ # buf0 = (n2 + n1) * LEB_SIZE ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf0, 0, n * LEB_SIZE) = lebs(avol, n3, n)) ∧ n1 < n), n2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
# buf = (n2 + n1) * LEB_SIZE, avol[n3 + n1] = mapped(buf0), subarray(buf, 0, n1 * LEB_SIZE) = lebs(avol, n3, n1), n2 ≠ 0, n3 + n1 < # avol, ebm-vol-inv(avol), mapped-full?(avol, n3, n2 + n1), n1 * LEB_SIZE + LEB_SIZE ≤ # buf, n3 + n2 + n1 ≤ # avol ⊦ ⟪fail_or_success#(; ; err); if err = ESUCCESS then buf := copy(avol[n3 + n1].data + mkempbuf(LEB_SIZE - # avol[n3 + n1].data), 0, buf, n1 * LEB_SIZE, LEB_SIZE) else {n0 := n1 * LEB_SIZE; n := LEB_SIZE; choose buf1 with # buf1 = # buf ∧ range=(buf, 0, buf1, 0, n0) ∧ range=(buf, n0 + n, buf1, n0 + n, # buf - n0 + n) in buf := buf1}; n := n1 + 1⟫ ( n ≤ n2 + n1 ∧ # buf = (n2 + n1) * LEB_SIZE ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → subarray(buf, 0, n * LEB_SIZE) = lebs(avol, n3, n)) ∧ n1 < n)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ m ≤ m; (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)