∀ {α : Type u_1} (U : Filter (α × α)) (_r : Set (α × α)) (motive : (∃ t ∈ U, SetRel.comp t t ⊆ _r) → Prop)
  (x : ∃ t ∈ U, SetRel.comp t t ⊆ _r),
  (∀ (_s : Set (α × α)) (hs : _s ∈ U) (hsr : SetRel.comp _s _s ⊆ _r), motive ⋯) → motive x