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Proof step 413 from proof refine-write (previous step)

# apebs = # wlar, wlar[n4] = wl-entry(m1, used), avols[v][vtblpnum3] = mapped(buf2, m), vols[v][vtblpnum3] = ⌜n4⌝ , apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), buf0 = mkbuf(vtblpnum5 + n1), err = err0, n = vtblpnum5, n0 = 0, avhdr.valid?, aehdr.valid?, n4 < # wlar, vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(n1, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, m0 ≤ vtblpnum5, m ≤ vtblpnum5, n1 + n3 ≤ # buf, n3 + n1 ≤ # buf, vtblpnum5 + n1 ≤ LEB_SIZE, m0 ≤ LEB_SIZE, m ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, ⌊err2⌋ , ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ err = ESUCCESS, n1 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols, ∃ buf. # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 414:
# apebs = # wlar, apebs[n4] = mkpeb(aehdr, avhdr, buf2, m0, false), vols[v][vtblpnum3] = ⌜n4⌝ , avols[v][vtblpnum3] = mapped(buf2, m), wlar[n4] = wl-entry(m1, used), aehdr.valid?, avhdr.valid?, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], n4 < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), is-aligned(n1, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf2, m0, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, vtblpnum5 ≤ LEB_SIZE, m ≤ LEB_SIZE, m0 ≤ LEB_SIZE, vtblpnum5 + n1 ≤ LEB_SIZE, n3 + n1 ≤ # buf, n1 + n3 ≤ # buf, m ≤ vtblpnum5, m0 ≤ vtblpnum5, ⌊err2⌋ , ⌊err0⌋ ⊦ n1 = 0, vtblpnum4 = n4, VTBL_VOLID ∈ vols, ∃ buf0. # buf0 = vtblpnum5 + n1 ∧ range=(buf0, vtblpnum5, mkbuf(vtblpnum5 + n1), vtblpnum5, n1)

Rule argument

Additional information

Used simplifier rules: ⊦ m + n - m = n; (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)% ⊦ 0 ≤ m; (s)% ⊦ range=(buf, n0, buf0, n1, 0) ↔ n0 ≤ # buf ∧ n1 ≤ # buf0; (s)% ⊦ # mkbuf(n) = n; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)