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Proof step 11 from proof inv-read (previous step)

# apebs = # wlar, vols[v][vtblpnum4] ≠ unmapped, vtblpnum4 < # vols[v], 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-vtbl(apebs, vols, wlar, vtblpnum5), valid-wl(apebs, wlar), v ∈ vols, n0 + n ≤ # buf, vtblpnum3 + n ≤ LEB_SIZE, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum5 ∈ q ⊦ ⟪aubi_io_read_data#(vols[v][vtblpnum4].pnum, vtblpnum3, n0, n, apebs; buf; bitflips, err); if err = ESUCCESS ∧ bitflips then bflipset := bflipset ++ vols[v][vtblpnum4].pnum⟫ bflipset-cons(bflipset, wlar)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
# apebs = # wlar, vols[v][vtblpnum4] = ⌜m⌝ , 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-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), vols[v][vtblpnum4] = unmapped, VTBL_VOLID ∈ vols, vtblpnum5 ∈ q

Rule argument

spec: ebaentry name: elim seq: ⊦ ebae ≠ unmapped → (m = ebae.pnum ↔ ebae = ⌜m⌝ ) subst: [ebae, m] → [vols[v][vtblpnum4], m]

Additional information

Used simplifier rules: ⊦ ebae ≠ unmapped → (m = ebae.pnum ↔ ebae = ⌜m⌝ ); (elim) Used terms: vols[v][vtblpnum4], m