∀ {α : Type u_1} {s : Setoid α} [inst : LinearOrder α] [H : ∀ (x : Quotient s), (Quotient.mk s ⁻¹' {x}).OrdConnected]
  [inst_1 : DecidableRel fun x1 x2 => x1 ≈ x2] (a b : Quotient s), (if a ≤ b then b else a) = if a ≤ b then b else a