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Proof step 16 from proof inv-read-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt = # avol, avol[m3] = mapped(buf2), buf0 = buf, err = ESUCCESS, err = err0, m3 < # avol, ebm-vol-inv(avol), m0 + n ≤ LEB_SIZE, n ≤ # buf, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪buf0 := copy(avol[m3].data + mkempbuf(LEB_SIZE - # avol[m3].data), m0, buf0, 0, n); if err = ESUCCESS ∧ buffered(m3) = bleb ∧ m0 ≤ m5 + m4 ∧ m5 ≤ m0 + n then let m = (m0 ≤ m5 ⊃ 0;m0 - m5), m1 = (m0 ≤ m5 ⊃ m5 - m0;0) in buf := copy(buf1, m, buf0, m1, min(n - m1, m4 - m))⟫ true

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 17:
# lpt = # avol, # buf1 = EB_PAGE_SIZE, avol[m3] = mapped(buf2), buf0 = buf, err = err0, err = ESUCCESS, avol[m3].mapped?, m3 < # avol, ebm-vol-inv(avol), m0 + n ≤ #(avol[m3].data + mkempbuf(LEB_SIZE - # avol[m3].data)), 0 + n ≤ # buf0, n ≤ # buf, m0 + n ≤ LEB_SIZE, LEB_SIZE ≥ # avol[m3].data, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if err = ESUCCESS ∧ buffered(m3) = bleb ∧ m0 ≤ m5 + m4 ∧ m5 ≤ m0 + n then let m = (m0 ≤ m5 ⊃ 0;m0 - m5), m1 = (m0 ≤ m5 ⊃ m5 - m0;0) in buf := copy(buf1, m, copy(avol[m3].data + mkempbuf(LEB_SIZE - # avol[m3].data), m0, buf0, 0, n), m1, min(n - m1, m4 - m))⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)% ⊦ # mkempbuf(n) = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ m < n → n ≠ 0; (s)% ⊦ ¬ n + (m - n) < m; (s)%⊦ n < # avol ∧ avol[n] = mapped(buf) ∧ ebm-vol-inv(avol) → ¬ LEB_SIZE < # buf; (s)