∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] (p p_1 : ι → Prop),
  p = p_1 →
    ∀ {inst_1 : DecidablePred p} [inst_2 : DecidablePred p_1] (x x_1 : Π₀ (i : ι), β i),
      x = x_1 → DFinsupp.filter p x = DFinsupp.filter p_1 x_1