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Proof step 9 from proof prepost-io-write-data (previous step)

# apebs = # wlar, wlar[n] = wl-entry(m3, used), apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), n0 ≠ n, avhdr.valid?, aehdr.valid?, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m0, EB_PAGE_SIZE), is-aligned(m2, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n0), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, n1), valid-peb(mkpeb(aehdr, avhdr, buf0, m, false)), valid-vtbl(apebs, vols, wlar, n0), valid-wl(apebs, wlar), m0 + m2 ≤ LEB_SIZE, m1 + m2 ≤ # buf, m ≤ m0, ¬ n ∈ q, ¬ VTBL_VOLID ∈ vols, ¬ n0 ∈ q ⊦ [aubi_io_write_data#(n, m0, m1, m2, buf; apebs; err)] ( ubi-io-inv(apebs) → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 10:
# apebs = # wlar, apebs[n] = mkpeb(aehdr, avhdr, buf0, m, false), wlar[n] = wl-entry(m3, used), n0 = m2, n1 = m1, vtblpnum = m0, vtblpnum0 = n, aehdr.valid?, avhdr.valid?, n < # wlar, bflipset-cons(bflipset, wlar), is-aligned(m2, EB_PAGE_SIZE), is-aligned(m0, EB_PAGE_SIZE), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf0, m, false)), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, n3), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, n2), valid-peb(mkpeb(aehdr, avhdr, buf0, m, false)), valid-vtbl(apebs, vols, wlar, n3), valid-wl(apebs, wlar), m ≤ m0, m1 + m2 ≤ # buf, m0 + m2 ≤ LEB_SIZE ⊦ [if ubi-io-write-data-pre(vtblpnum0, vtblpnum, n1, n0, buf, apebs) then {fail_or_success#(; ; err); if err = ESUCCESS then apebs[vtblpnum0] := mkpeb (apebs[vtblpnum0].echdr, apebs[vtblpnum0].vidhdr, subarray(apebs[vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n0) + mkempbuf(LEB_SIZE - vtblpnum - n0), vtblpnum + n0, apebs[vtblpnum0].bad) else choose n with (n < n0 ∨ n = 0 ∧ n0 = 0) ∧ is-aligned(n, EB_PAGE_SIZE) in if n ≠ 0 then apebs[vtblpnum0] := mkpeb (apebs[vtblpnum0].echdr, apebs[vtblpnum0].vidhdr, subarray(apebs[vtblpnum0].data, 0, vtblpnum) + subarray(buf, n1, n) + mkempbuf(LEB_SIZE - vtblpnum - n), vtblpnum + n, apebs[vtblpnum0].bad)} else abort] ( ubi-io-inv(apebs) → # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n2) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(apebs, q) ∧ valid-ebatbl(apebs, wlar, vols, n3) ∧ valid-vtbl(apebs, vols, wlar, n3)), n3 = n, n ∈ q, VTBL_VOLID ∈ vols, n3 ∈ q

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubi_io_write_data#(PNUM, OFFSET, N0, N, BUF; APEBS; ERR) {if ubi-io-write-data-pre(PNUM, OFFSET, N0, N, BUF, APEBS) then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then APEBS[PNUM] := mkpeb (APEBS[PNUM].echdr, APEBS[PNUM].vidhdr, subarray(APEBS[PNUM].data, 0, OFFSET) + subarray(BUF, N0, N) + mkempbuf(LEB_SIZE - OFFSET - N), OFFSET + N, APEBS[PNUM].bad) else choose N1 with (N1 < N ∨ N1 = 0 ∧ N = 0) ∧ is-aligned(N1, EB_PAGE_SIZE) in if N1 ≠ 0 then APEBS[PNUM] := mkpeb (APEBS[PNUM].echdr, APEBS[PNUM].vidhdr, subarray(APEBS[PNUM].data, 0, OFFSET) + subarray(BUF, N0, N1) + mkempbuf(LEB_SIZE - OFFSET - N1), OFFSET + N1, APEBS[PNUM].bad)} else abort };