| # apebs = # wlar, vols[v][vtblpnum2] = ⌜n⌝ , vtblpnum = vtblpnum2, avols[v][vtblpnum2].mapped?, n < # wlar, vtblpnum2 < # vols[v], vtblpnum2 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols ⊦ ⟨if v ∈ avols ∧ vtblpnum < # avols[v] then avols[v][vtblpnum] := unmapped else abort⟩ abs(avols, apebs, vols[v, vols[v][vtblpnum2, unmapped]], q + eq-entry(vols[v][vtblpnum2].pnum, v × vtblpnum2) '), VTBL_VOLID ∈ vols |
# apebs = # wlar, vols[v][vtblpnum2] = ⌜n⌝ , vtblpnum = vtblpnum2, avols[v][vtblpnum2].mapped?, vtblpnum2 < # avols[v], vtblpnum2 < # vols[v], n < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols ⊦ ⟨avols[v][vtblpnum] := unmapped⟩ abs(avols, apebs, vols[v, vols[v][vtblpnum2, unmapped]], q + eq-entry(vols[v][vtblpnum2].pnum, v × vtblpnum2) '), VTBL_VOLID ∈ vols
Used simplifier rules: ⊦ v ∈ vols ∧ abs(avols, apebs, vols, q) → v ∈ avols; (ss)%⊦ v ∈ vols ∧ m < # vols[v] ∧ abs(avols, apebs, vols, q) → m < # avols[v]; (ss)