∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : Preorder β] [inst_1 : Preorder γ] {f : α → β} {a : α} {g : α → γ}
  (_x : α) (motive : _x ∈ {x | (fun x => f x ≤ f a) x} ∩ {x | (fun x => g x ≤ g a) x} → Prop)
  (x : _x ∈ {x | (fun x => f x ≤ f a) x} ∩ {x | (fun x => g x ≤ g a) x}),
  (∀ (hfx : _x ∈ {x | (fun x => f x ≤ f a) x}) (hgx : _x ∈ {x | (fun x => g x ≤ g a) x}), motive ⋯) → motive x