| # apebs = # wlar, vtblpnum0 < # vols[v], bflipset-cons(bflipset, wlar), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ vols ⊦ ⟪let ebae = vols[v][vtblpnum0] in if ebae ≠ unmapped then let vtblpnum = ebae.pnum in {vols[v][vtblpnum0] := unmapped; bflipset := bflipset -- vtblpnum; ubi_wl_put_peb#(v × vtblpnum0, vtblpnum; wlar, q)}⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)), VTBL_VOLID ∈ vols, vtblpnum ∈ q |
# apebs = # wlar, ebae = vols[v][vtblpnum0], vtblpnum0 < # vols[v], bflipset-cons(bflipset, wlar), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ vols ⊦ ⟪if ebae ≠ unmapped then let vtblpnum = ebae.pnum in {vols[v][vtblpnum0] := unmapped; bflipset := bflipset -- vtblpnum; ubi_wl_put_peb#(v × vtblpnum0, vtblpnum; wlar, q)}⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)), vtblpnum ∈ q, VTBL_VOLID ∈ vols
# apebs = # wlar, vtblpnum0 < # vols[v], bflipset-cons(bflipset, wlar), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), v ∈ vols ⊦ vtblpnum ∈ q, VTBL_VOLID ∈ vols, vtblpnum0 < # vols[v] ∧ v ∈ vols