| # wlar = # wlar0, # apebs0 = # wlar0, v ∈ vols ↔ v ∈ vols0, abs(avols0, apebs0, vols, q), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ avols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉, v ∈ vols0 → # vols[v] = # vols0[v] ∧ (∀ m. m < # vols[v] ∧ vols[v][m] ≠ unmapped → vols[v][m] = vols0[v][m]) ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, # avols0[v] = # absf(avols0, apebs0, vols0, q0)[v] ∧ ( m < # avols0[v] ∧ avols0[v][m] ≠ unmapped → (avols0[v][m] = erased → absf(avols0, apebs0, vols0, q0)[v][m] = erased) ∧ (avols0[v][m].mapped? → absf(avols0, apebs0, vols0, q0)[v][m] = avols0[v][m])) |
# wlar = # wlar0, # apebs0 = # wlar0, # vols[v] = # vols0[v], abs(avols0, apebs0, vols, q), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ avols0, v ∈ vols, v ∈ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉, ∀ m. m < # vols0[v] ∧ vols[v][m] ≠ unmapped → vols[v][m] = vols0[v][m] ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, # avols0[v] = # absf(avols0, apebs0, vols0, q0)[v] ∧ ( m < # avols0[v] ∧ avols0[v][m] ≠ unmapped → (avols0[v][m] = erased → absf(avols0, apebs0, vols0, q0)[v][m] = erased) ∧ (avols0[v][m].mapped? → absf(avols0, apebs0, vols0, q0)[v][m] = avols0[v][m]))
Used simplifier rules: ⊦ v ∈ avols ∧ abs(avols, apebs, vols, q) → v ∈ vols; (ss)