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Proof step 428 from proof refine-write (previous step)

# apebs = # wlar, avols[v][vtblpnum3] = mapped(buf1, m), vols[v][vtblpnum3] = ⌜n⌝ , apebs[n] = mkpeb(aehdr, avhdr, buf1, m0, false), n0 = 0, n1 = n2, vtblpnum = vtblpnum5, vtblpnum0 = vtblpnum3, avhdr.valid?, vtblpnum3 < # avols[v], vtblpnum3 < # vols[v], n < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, 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 ∈ avols, v ∈ vols, m0 ≤ LEB_SIZE, m ≤ vtblpnum5, n2 ≤ # buf, vtblpnum5 ≤ LEB_SIZE, m0 ≤ vtblpnum5, m ≤ LEB_SIZE ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then if avols[v][vtblpnum0].mapped? then if n0 ≠ 0 then avols[v][vtblpnum0] := mapped (subarray(avols[v][vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n0) + mkempbuf(LEB_SIZE - vtblpnum - n0), vtblpnum + n0) else avols[v][vtblpnum0] := mapped(mkempbuf(vtblpnum) + subarray(buf, n1, n0) + mkempbuf(LEB_SIZE - vtblpnum - n0), vtblpnum + n0) else if avols[v][vtblpnum0].mapped? then choose n with n < n0 ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then avols[v][vtblpnum0] := mapped (subarray(avols[v][vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n) + mkempbuf(LEB_SIZE - vtblpnum - n), vtblpnum + n) ifnone skip else if n0 ≠ 0 then avols[v][vtblpnum0] := unmapped⟩ (abs(avols, apebs, vols, q) ∧ ESUCCESS = err), VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 429:
# apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf1, m0, false), vols[v][vtblpnum3] = ⌜n⌝ , avols[v][vtblpnum3] = mapped(buf1, m), avhdr.valid?, n < # wlar, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, 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 ∈ vols, v ∈ avols, m ≤ LEB_SIZE, m0 ≤ vtblpnum5, vtblpnum5 ≤ LEB_SIZE, n2 ≤ # buf, m ≤ vtblpnum5, m0 ≤ LEB_SIZE, ¬ VTBL_VOLID ∈ vols ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then if avols[v][vtblpnum3].mapped? then skip else avols[v][vtblpnum3] := mapped(mkempbuf(vtblpnum5) + subarray(buf, n2, 0) + mkempbuf(LEB_SIZE - vtblpnum5 - 0), vtblpnum5) else if avols[v][vtblpnum3].mapped? then {n0 := 0; choose n with n < n0 ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then avols[v][vtblpnum3] := mapped (subarray(avols[v][vtblpnum3].data, 0, vtblpnum5) + subarray(buf, n2, n) + mkempbuf(LEB_SIZE - vtblpnum5 - n), vtblpnum5 + n) ifnone skip}⟩ (abs(avols, apebs, vols, q) ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)