| ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → (abs○(avols, apebs[n, apeb], vols, q, v, m) ↔ abs○(avols, apebs, vols, q, v, m)) |
vols[v][m] = ⌜n⌝ , m < # vols[v], valid-ebatbl(apebs, wlar, vols, n0), v ∈ vols ⊦ abs○(avols, apebs[n, apeb], vols, q, v, m) ↔ abs○(avols, apebs, vols, q, v, m)