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Proof step 79 from proof prepost-atomic-leb-change (previous step)

# apebs0 = # wlar, LEB_SIZE = n3 + align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), apebs0[n1] = mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), wlar[n1] = wl-entry(m1, free), wlar[vtblpnum1] = wl-entry(m0, used), aehdr.valid?, n1 < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset, wlar), is-aligned(LEB_SIZE, EB_PAGE_SIZE), is-encoded(to-vtbl(vols)[v, m], subarray(buf, 0, LEB_SIZE)), ubi-io-inv (apebs0 [n1, mkpeb(aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, datasize(buf, LEB_SIZE), checksum(buf, datasize(buf, LEB_SIZE))), mkempbuf(LEB_SIZE), 0, false) ]), ubi-io-inv(apebs0), ubi-io-inv (apebs0 [n1, mkpeb (aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, datasize(buf, LEB_SIZE), checksum(buf, datasize(buf, LEB_SIZE))), subarray(buf, 0, LEB_SIZE), align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), false) ]), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar, vols, vtblpnum1), valid-eraseq(q + eq-entry(vtblpnum1, VTBL_VOLID × VTBL_LNUM) '), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs0, vols, wlar, vtblpnum1), valid-wl(apebs0, wlar), align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE) ≤ LEB_SIZE, align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE) ≤ # buf, LEB_SIZE ≤ # buf ⊦ vtblpnum1 = n1, valid-ebatbl (apebs0 [n1, mkpeb (aehdr, avidhdr(VTBL_VOLID, VTBL_LNUM, sqnum, datasize(buf, LEB_SIZE), checksum(buf, datasize(buf, LEB_SIZE))), subarray(buf, 0, LEB_SIZE), align↑(datasize(buf, LEB_SIZE), EB_PAGE_SIZE), false) ], wlar[vtblpnum1, wl-entry(m0, erasing)][n1, wl-entry(m1, used)], vols[v, fill(mkebatbl(m), unmapped)], n1), v ∈ vols, VTBL_VOLID ∈ vols, vtblpnum1 ∈ q, ∃ buf0. buf = mkempbuf(LEB_SIZE) + buf0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array, inst: wlarray-base name: cputput-reverse seq: m ≠ n ⊦ wlar[m, wle][n, wle0] = wlar[n, wle0][m, wle] subst: [wle0, n, wle, m, wlar] → [wl-entry(m1, used), n1, wl-entry(m0, erasing), vtblpnum1, wlar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ EB_PAGE_SIZE ≠ 0; (s)%⊦ ¬ v ∈ vols ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ wlar[n1] = wl-entry(m2, free) → valid-ebatbl (apebs[n1, apeb], wlar[n1, wl-entry(m1, used)][n0, wl-entry(m0, erasing)], vols[v, fill(mkebatbl(n), unmapped)], n1); (ss)%n ≠ 0, m % n = 0 ⊦ align↑(m, n) = m; (s)% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s) Used terms: wl-entry(m1, used), n1, wl-entry(m0, erasing), vtblpnum1, wlar