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Proof step 126 from proof inv-wl-worker (previous step)

# apebs0 = # apebs1, # apebs1 = # wlar, # wlar0 = # wlar, # apebs = # wlar, # apebs0 = # wlar, # wlar2 = # wlar, wlar2[vtblpnum2] = wl-entry(m5, stat), vols[v][m] = ⌜vtblpnum2⌝ , apebs[vtblpnum2] = mkpeb(aechdr(m1), avidhdr(v1, m4, valid-sqns(v, m, apebs).max, m6, m7), buf, m3, false), apebs[vtblpnum1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[vtblpnum2] = wl-entry(m1, used), wlar[vtblpnum1] = wl-entry(m0, free), apebs1[vtblpnum1] = mkpeb(aehdr0, avhdr0, buf, align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), boolvar), apebs0[vtblpnum1] = mkpeb(aehdr1, avhdr, buf0, m2, boolvar0), aehdr.valid?, vtblpnum1 < # wlar, m < # vols[v], vtblpnum2 < # wlar, bflipset-cons(bflipset1, wlar0), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar), bflipset-cons(bflipset1, wlar2), id(apebs0, apebs, mapped-pebs(vols) -- vtblpnum2), id(apebs1, apebs, mapped-pebs(vols)), id(apebs0, apebs, ((mapped-pebs(vols) -- vtblpnum2) ++ vtblpnum1) ∩ mapped-pebs(vols)), id○(wlar2, wlar0, vtblpnum2), id○(apebs0, apebs1, vtblpnum2), id○(apebs1, apebs, vtblpnum1), is-aligned(LEB_SIZE, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs), ubi-io-inv(apebs1), ubi-io-peb-inv(mkpeb(aehdr1, avhdr, buf0, m2, boolvar0)), ubi-io-peb-inv(mkpeb(aechdr(m1), avidhdr(v1, m4, valid-sqns(v, m, apebs).max, m6, m7), buf, m3, false)), ubi-io-peb-inv(mkpeb(aehdr0, avhdr0, buf, align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), boolvar)), unique-sqns(apebs1), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs1, wlar0, vols[v, vols[v][m, ⌜vtblpnum1⌝ ]], vtblpnum), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-ebatbl(apebs0, wlar2, vols[v, vols[v][m, ⌜vtblpnum1⌝ ]], vtblpnum), valid-eraseq(q + eq-entry(vtblpnum2, v × m) '), valid-eraseq(wlar0, q + eq-entry(vtblpnum2, v × m) '), valid-eraseq(apebs1, q + eq-entry(vtblpnum2, v × m) '), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-eraseq(wlar2, q), valid-eraseq(apebs0, q), valid-global-sqn(apebs1, sqnum0), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs0, sqnum0), valid-peb(mkpeb(aechdr(m1), avidhdr(v1, m4, valid-sqns(v, m, apebs).max, m6, m7), buf, m3, false)), valid-peb(v, m, mkpeb(aechdr(m1), avidhdr(v1, m4, valid-sqns(v, m, apebs).max, m6, m7), buf, m3, false)), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-vtbl(apebs1, vols, wlar0, vtblpnum), valid-vtbl(apebs0, vols, wlar2, vtblpnum), valid-wl(apebs1, wlar0), valid-wl(apebs, wlar), valid-wl(apebs0, wlar2), v ∈ vols, bflipset = ∅ → m1 + WL_THRESHOLD ≤ m0, ∀ n. n ∈ (mapped-pebs(vols) -- vtblpnum2) ++ vtblpnum1 ∧ n < # apebs0 ∧ n < # apebs1 → apebs0[n] = apebs1[n] ⊦ stat = used, vtblpnum = vtblpnum2, vtblpnum2 = vtblpnum4, vtblpnum4 = vtblpnum1, vtblpnum2 ∈ q, vtblpnum4 ∈ q, VTBL_VOLID ∈ vols, vtblpnum ∈ q, buf0 = buf ∧ m2 ≤ m3, vols = vols[v, vols[v][m, ⌜vtblpnum1⌝ ]] ∧ id(apebs0, apebs, (mapped-pebs(vols) -- vtblpnum2) ++ vtblpnum1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ n ∈ ns -- n0 ↔ n ≠ n0 ∧ n ∈ ns; (s)% ⊦ n ∈ ns ++ n0 ↔ n = n0 ∨ n ∈ ns; (s)