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Proof step 121 from proof recovery (previous step)

# vols[v] = # vols0[v], # avols0[v] = # vols0[v], # apebs0 = # wlar0, # wlar = # wlar0, LEB_SIZE = n0 + m0, vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar), apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, false), vols0[v][m] = ⌜n⌝ , subarray(buf, m0, n0) = mkempbuf(n0), avhdr.valid?, m < # vols0[v], n < # wlar0, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), is-aligned(m0, EB_PAGE_SIZE), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), eq-entry(n, v × m) ∈ q, v ∈ avols0, v ∈ vols, v ∈ vols0, m0 ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs, avols0[v][m] = erased → ¬ v × m ∈ q ⊦ aehdr = empty, avhdr = empty, avols0[v][m].mapped?, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols, m0 + n0 ≤ # buf ∧ 0 + n0 ≤ # emptyleb ∧ (∀ n. n < n0 → buf[m0 + n] = (emptyleb)[0 + n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 122:
# vols[v] = # vols0[v], # avols0[v] = # vols0[v], # apebs0 = # wlar0, # wlar = # wlar0, LEB_SIZE = n0 + m0, vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr0, avhdr0, buf0, m1, boolvar), apebs0[n] = mkpeb(aehdr, avhdr, buf, m0, false), vols0[v][m] = ⌜n⌝ , subarray(buf, m0, n0) = mkempbuf(n0), avhdr.valid?, m < # vols0[v], n < # wlar0, n1 < n0, n1 < LEB_SIZE, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), is-aligned(m0, EB_PAGE_SIZE), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs0, q), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-global-sqn(apebs0, vtblpnum0), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-wl(apebs0, wlar), valid-wl(apebs0, wlar0), eq-entry(n, v × m) ∈ q, v ∈ avols0, v ∈ vols, v ∈ vols0, m0 ≤ LEB_SIZE, n0 ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs, avols0[v][m] = erased → ¬ v × m ∈ q ⊦ buf[m0 + n1] = empty, aehdr = empty, avhdr = empty, avols0[v][m].mapped?, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols

Rule argument

Additional information

Used simplifier rules: ⊦ LEB_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ ¬ m + n < m; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ m; (s)%n < # emptyleb ⊦ (emptyleb)[n] = empty; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ # emptyleb = LEB_SIZE; (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)%n < # apebs ⊦ apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar) ∧ ubi-io-inv(apebs) → # buf = LEB_SIZE; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)