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Proof step 248 from proof prepost-atomic-leb-change (previous step)

# apebs0 = # wlar, LEB_SIZE = n2 + n0, LEB_SIZE = n4 + # buf1, apebs0[n1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[n1] = wl-entry(m1, free), align↑(datasize(buf, n0), EB_PAGE_SIZE) = n3 + # buf1, aehdr.valid?, n1 < # wlar, bflipset-cons(bflipset, wlar), is-aligned(n0, EB_PAGE_SIZE), is-aligned(# buf1, EB_PAGE_SIZE), ubi-io-inv (apebs0[n1, mkpeb(aehdr, avidhdr(v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), buf1 + mkempbuf(n4), # buf1, false)]), ubi-io-inv(apebs0[n1, mkpeb(aehdr, avidhdr(v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-eraseq(q + eq-entry(n1, none) '), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar), n3 + # buf1 ≤ # buf, n3 + # buf1 ≤ LEB_SIZE, n0 ≤ LEB_SIZE, n0 ≤ # buf, # buf1 ≤ # buf, # buf1 ≤ LEB_SIZE, ⌊err0⌋ , v ∈ vols ∧ m0 < # vols[v] ∨ v = VTBL_VOLID ∧ m0 = VTBL_LNUM, datasize(buf1, # buf1) < datasize(buf, n0) ∨ checksum(buf1 + mkempbuf(n3), datasize(buf, n0)) ≠ checksum(buf, datasize(buf, n0)) ⊦ vtblpnum1 = n1, valid-peb(v, m0, mkpeb(aehdr, avidhdr(v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), buf1 + mkempbuf(n4), # buf1, false)), valid-wl (apebs0[n1, mkpeb(aehdr, avidhdr(v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), buf1 + mkempbuf(n4), # buf1, false)], wlar[n1, wl-entry(m1, erasing)]), vtblpnum1 ∈ q, VTBL_VOLID ∈ vols, ∃ buf0. buf = mkempbuf(n0) + buf0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-base name: valid-wl-erasing-invalidate0 seq: m < # apebs ⊦ # apebs = # wlar ∧ ¬ valid-peb(apeb) ∧ ¬ apeb.bad ∧ valid-wl(apebs, wlar) → valid-wl(apebs[m, apeb], wlar[m, wl-entry(m0, erasing)]) subst: [m0, wlar, apeb, m, apebs] → [m1, wlar, mkpeb (aehdr, avidhdr (v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), buf1 + mkempbuf(n4), # buf1, false), n1, apebs0] flags: <all paths>

Additional information

Used simplifier rules: ls-array-append-length0: # buf0 = 0 ⊦ buf + buf0 = buf;% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).bad ↔ boolvar; (s)% ⊦ EB_PAGE_SIZE ≠ 0; (s)%⊦ valid-peb(apeb) → (valid-peb(v, m, apeb) ↔ v = apeb.vidhdr.vol ∧ m = apeb.vidhdr.leb); (ss)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ avidhdr(v, m, m0, m1, m2).vol = v; (s)% ⊦ avidhdr(v, m, m0, m1, m2).leb = m; (s)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)% ⊦ # mkempbuf(n) = n; (s)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer] Used terms: m1, wlar, mkpeb (aehdr, avidhdr (v, m0, sqnum, datasize(buf, n0), checksum(buf, datasize(buf, n0))), buf1 + mkempbuf(n4), # buf1, false), n1, apebs0