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Proof step 72 from proof inv-wl-worker (previous step)

# apebs = # wlar, avhdr.sqn = valid-sqns(v, m, apebs).max, wlar[vtblpnum1] = wl-entry(m0, free), wlar[vtblpnum4] = wl-entry(m1, used), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), apebs[vtblpnum4] = mkpeb(aechdr(m1), avhdr, buf, m3, false), aehdr.valid?, vtblpnum1 < # wlar, vtblpnum4 < # wlar, bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), ubi-io-peb-inv(mkpeb(aechdr(m1), avhdr, buf, m3, false)), unique-sqns(apebs), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(v, m, mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-peb(mkpeb(aechdr(m1), avhdr, buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0 ⊦ vtblpnum4 = vtblpnum1, vtblpnum4 ∈ q, VTBL_VOLID ∈ vols, v = VTBL_VOLID ∧ m = VTBL_LNUM, v ∈ vols ∧ m < # vols[v], vols[v][m] = ⌜vtblpnum4⌝ ∧ v ∈ vols ∧ m < # vols[v]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-base name: valid-vtbl seq: ⊦ valid-vtbl(apebs, vols, wlar, n0) ↔ n0 < # apebs ∧ n0 < # wlar ∧ wlar[n0].status = used ∧ apebs[n0].vidhdr.vol = VTBL_VOLID ∧ apebs[n0].vidhdr.leb = VTBL_LNUM ∧ is-encoded(to-vtbl(vols), apebs[n0].data) subst: [n0, wlar, vols, apebs] → [vtblpnum4, wlar, vols, apebs] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.leb = m; (s)% ⊦ wl-entry(m, stat).status = stat; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.vol = v; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).data = buf; (s) Used terms: vtblpnum4, wlar, vols, apebs