diff --git a/library/data/real/division.lean b/library/data/real/division.lean index 87f9af41fe..1d995d52c9 100644 --- a/library/data/real/division.lean +++ b/library/data/real/division.lean @@ -593,9 +593,11 @@ noncomputable definition real_has_inv [instance] [reducible] [priority real.prio noncomputable protected definition div (x y : ℝ) : ℝ := x * y⁻¹ -noncomputable definition real_has_div [instance] [reducible] [priority real.prio] : has_div real := +noncomputable definition real_has_div : has_div real := has_div.mk real.div +local attribute real_has_div [instance] [reducible] [priority real.prio] + protected theorem le_total (x y : ℝ) : x ≤ y ∨ y ≤ x := quot.induction_on₂ x y (λ s t, rat_seq.r_le_total s t)