| # apebs = # wlar, vols[v][vtblpnum0] = ⌜m⌝ , wlar[m] = wl-entry(m0, stat), stat = used, m < # wlar, vtblpnum0 < # vols[v], bflipset-cons(bflipset, wlar), 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-peb(v, vtblpnum0, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols ⊦ ⟪ubi_wl_put_peb#(v × vtblpnum0, m; wlar, q)⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset -- m, wlar) ∧ valid-ebatbl(apebs, wlar, vols[v, vols[v][vtblpnum0, unmapped]], vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1)), m = vtblpnum1, vtblpnum1 ∈ q, VTBL_VOLID ∈ vols |
# apebs = # wlar, wlar[m] = wl-entry(m0, used), vols[v][vtblpnum0] = ⌜m⌝ , m ≠ vtblpnum1, vtblpnum0 < # vols[v], m < # wlar, bflipset-cons(bflipset, wlar), 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-peb(v, vtblpnum0, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum1 ∈ q, ¬ m ∈ q ⊦ ⟪ubi_wl_put_peb#(v × vtblpnum0, m; wlar, q)⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset -- m, wlar) ∧ valid-ebatbl(apebs, wlar, vols[v, vols[v][vtblpnum0, unmapped]], vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1))
Used simplifier rules: lf-used-info: ⊦ n < # wlar ∧ wlar[n] = wl-entry(m, used) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;