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Proof step 175 from proof refine-write (previous step)

# apebs0 = # wlar, LEB_SIZE = n0 + m, LEB_SIZE = n6 + vtblpnum5 + n2, apebs0[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), wlar[n4] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , avhdr.valid?, aehdr.valid?, n4 < # wlar, vtblpnum3 < # vols[v], n2 < n5, vtblpnum3 < # avols[v], abs(avols, apebs0, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n5, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(m, EB_PAGE_SIZE), range=(buf2, m, emptyleb, 0, n0), ubi-io-inv(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)]), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)]), unique-sqns(apebs0), valid-ebatbl (apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)], wlar, vols, vtblpnum4), valid-ebatbl(apebs0, wlar, vols, vtblpnum4), valid-eraseq(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)], q), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)], sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum4), valid-wl(apebs0[n4, mkpeb(aehdr, avhdr, subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, false)], wlar), valid-wl(apebs0, wlar), v ∈ avols, v ∈ vols, vtblpnum5 ≤ LEB_SIZE, n3 + n5 ≤ # buf, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, n2 + vtblpnum5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n5 + n3 ≤ # buf, vtblpnum5 + n5 ≤ LEB_SIZE, n3 + n2 ≤ # buf, vtblpnum5 + n2 ≤ LEB_SIZE, ⌊err3⌋ ⊦ n2 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols, (vtblpnum5 + n2) + n6 ≤ #(subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6)) ∧ 0 + n6 ≤ # emptyleb ∧ subarray(subarray(buf2, 0, vtblpnum5) + subarray(buf, n3, n2) + mkempbuf(n6), vtblpnum5 + n2, n6) = subarray(emptyleb, 0, n6)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ m + n < m; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)% ⊦ m - m = 0; (s)% ⊦ m + n - m = n; (s)%# buf ≤ n0, n0 + m ≤ # buf + # buf0 ⊦ subarray(buf + buf0, n0, m) = subarray(buf0, n0 - # buf, m); (s)% ⊦ ¬ n < n; (s)% ⊦ LEB_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ m + n; (s)% ⊦ # emptyleb = LEB_SIZE; (s)% ⊦ n + 0 = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ # subarray(buf, m, n) = n; (s)% ⊦ #(buf + buf0) = # buf + # buf0; (s)