∀ {α : Type u_1} (p : α → Type u_2) (q : α → Prop) (x : (x : Subtype q) × p ↑x),
  ⟨⟨(↑⟨⟨↑x.fst, x.snd⟩, ⋯⟩).fst, ⋯⟩, (↑⟨⟨↑x.fst, x.snd⟩, ⋯⟩).snd⟩ =
    ⟨⟨(↑⟨⟨↑x.fst, x.snd⟩, ⋯⟩).fst, ⋯⟩, (↑⟨⟨↑x.fst, x.snd⟩, ⋯⟩).snd⟩