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Proof step 13 from proof inv-read (previous step)

# apebs = # wlar, wlar[m].status = used, vols[v][vtblpnum4] = ⌜m⌝ , m ≠ vtblpnum5, vtblpnum4 < # vols[v], m < # wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum5), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(v, vtblpnum4, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum5), valid-wl(apebs, wlar), v ∈ vols, n0 + n ≤ # buf, vtblpnum3 + n ≤ LEB_SIZE, ¬ vtblpnum5 ∈ q, ¬ VTBL_VOLID ∈ vols ⊦ ⟪aubi_io_read_data#(m, vtblpnum3, n0, n, apebs; buf; bitflips, err); if err = ESUCCESS ∧ bitflips then bflipset := bflipset ++ m⟫ bflipset-cons(bflipset, wlar)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
# apebs = # wlar, vols[v][vtblpnum4] = ⌜m⌝ , wlar[m] = wl-entry(m0, stat), stat = used, m < # wlar, vtblpnum4 < # vols[v], bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum5), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-peb(v, vtblpnum4, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum5), valid-wl(apebs, wlar), v ∈ vols, vtblpnum3 + n ≤ LEB_SIZE, n0 + n ≤ # buf ⊦ ⟪aubi_io_read_data#(m, vtblpnum3, n0, n, apebs; buf; bitflips, err); if err = ESUCCESS ∧ bitflips then bflipset := bflipset ++ m⟫ bflipset-cons(bflipset, wlar), m = vtblpnum5, vtblpnum5 ∈ q, VTBL_VOLID ∈ vols

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[m], m0, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[m], m0, stat