| ⊦ valid-wl(apebs, wlar) ∧ valid-indices(wlar, nx) ∧ ¬ dups(nx) ∧ indices-erasing(wlar, nx) → valid-wl(apebs, wlar.mapIndices(nx, λ wle. wle.ec:= n)) |
indices-erasing(wlar, nx), valid-indices(wlar, nx), valid-wl(apebs, wlar) ⊦ dups(nx), valid-wl(apebs, wlar.mapIndices(nx, λ wle. wle.ec:= n))