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Proof step 66 from proof prepost-erase-worker-helper (previous step)

# wlar1 = # wlar0, # apebs1 = # wlar0, # apebs0 = # wlar0, UBI_ERASE_RETRIES = n0 + vtblpnum2, apebs1[m] = mkpeb(aehdr0, avhdr, buf, m2, false), wlar1[m] = wl-entry(m3, erasing), wlar0[m] = wl-entry(m0, erasing), m < # wlar0, bflipset-cons(bflipset, wlar1), bflipset-cons(bflipset, wlar0), id○(wlar1, wlar0, m), id○(apebs1, apebs0, m), ubi-io-inv(apebs1), ubi-io-inv(apebs0), ubi-io-inv(apebs1[m, mkpeb(empty, empty, mkempbuf(LEB_SIZE), 0, false)]), ubi-io-inv(apebs1[m, mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false)]), ubi-io-peb-inv(mkpeb(aehdr0, avhdr, buf, m2, false)), unique-sqns(apebs1), unique-sqns(apebs0), valid-ebatbl(apebs1, wlar1, vols, vtblpnum1), valid-ebatbl(apebs0, wlar0, vols, vtblpnum1), valid-eraseq(apebs1, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar1, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(apebs0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(wlar0, q0 + eq-entry(m, lref) ' + q1), valid-eraseq(q0 + eq-entry(m, lref) ' + q1), valid-global-sqn(apebs1, sqnum), valid-global-sqn(apebs0, sqnum), valid-vtbl(apebs1, vols, wlar1, vtblpnum1), valid-vtbl(apebs0, vols, wlar0, vtblpnum1), valid-wl(apebs1, wlar1), valid-wl(apebs0, wlar0), vtblpnum2 ≤ UBI_ERASE_RETRIES + 1, vtblpnum2 ≤ UBI_ERASE_RETRIES, ⌊err0⌋ ⊦ err1 = ESUCCESS, vtblpnum1 = m, aehdr.valid?, valid-eraseq(apebs1[m, mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false)], q0 + eq-entry(m, lref) ' + q1), VTBL_VOLID ∈ vols, vtblpnum1 ∈ q0, vtblpnum1 ∈ q1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-base name: valid-eraseqp-invalidate seq: m < # apebs ⊦ ¬ valid-peb(apeb) ∧ valid-eraseq(apebs, q) → valid-eraseq(apebs[m, apeb], q) subst: [q, apeb, m, apebs] → [q0 + eq-entry(m, lref) ' + q1, mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), m, apebs1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ¬ valid-peb(mkpeb(aehdr, empty, buf, m, boolvar)); (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ ¬ n < n; (s) Used terms: q0 + eq-entry(m, lref) ' + q1, mkpeb(aehdr, empty, mkempbuf(LEB_SIZE), 0, false), m, apebs1