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Proof step 200 from proof inv-read-gblock-nodes (previous step)

# gndx = # lax, # lpt = # avol, # lpt0 = # avol, LEB_SIZE = n0 + # buf1, avol[m5] = mapped(buf1), err = ESUCCESS, m = 2 * NODE_HEADER_SIZE + align↑(ndhd.size, 2 * NODE_HEADER_SIZE), m0 = m1, m2 = LEB_SIZE, m5 < # avol, m1 < LEB_SIZE, abs-nodes(buf1, gndx, lax, true), awbuf-inv(avol, bleb), buf-ro-rw-mode(isbuf, bleb, lpt0, avol), bufs-log-only(bleb, log0, lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt), lpt-ram-flash(lpt0, lpt, log0), read-gblock-inv(m5, m1, ax, gndx0, ax1, gndx2, buf1, false), m1 + NODE_HEADER_SIZE ≤ LEB_SIZE, # buf1 ≤ LEB_SIZE, err = ESUCCESS → is-encoded(ndhd, subarray(buf1 + mkempbuf(n0), m1, NODE_HEADER_SIZE)), err = ESUCCESS ∨ ⌊err⌋ ⊦ m2 < m0 + m, isempty(buf1 + mkempbuf(n0), m1, NODE_HEADER_SIZE), (0 + LEB_SIZE ≤ #(avol[m5].data + mkempbuf(n0)) ∧ 0 + LEB_SIZE ≤ # mkbuf(LEB_SIZE)) ∧ avol[m5].mapped? ∧ m5 < # avol

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → ¬ n < m; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%n = # buf0, m ≤ # buf1 ⊦ isempty(buf0 + buf1, n, m) ↔ isempty(buf1, 0, m); (s)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult% ⊦ NODE_HEADER_SIZE ≠ 0; (s)% ⊦ 2 * m = 0 ↔ m = 0; (s)%# buf ≤ n0, n0 + m ≤ # buf + # buf0 ⊦ subarray(buf + buf0, n0, m) = subarray(buf0, n0 - # buf, m); (s)% ⊦ NODE_HEADER_SIZE + n ≠ 0; (s)%transitivity: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification oelem[nat-set]% ⊦ ¬ n < n; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ # buf = 0 ↔ buf = mkbuf(0); (s)%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ # subarray(buf, m, n) = n; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lfw-is-encoded-nodeheader-size: ⊦ is-encoded(ndhd, buf) → # buf = NODE_HEADER_SIZE; (forward) from specification abs-node[encoding-index-node]% ⊦ m ≤ m; (s)% ⊦ # mkbuf(n) = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (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)% ⊦ m < n ↔ ¬ n ≤ m; (ss)