data.set.intervals.instances ⟷ Mathlib.Data.Set.Intervals.Instances

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,8 +3,8 @@ Copyright (c) 2022 Stuart Presnell. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Stuart Presnell, Eric Wieser, Yaël Dillies, Patrick Massot, Scott Morrison
 -/
-import Mathbin.Algebra.GroupPower.Order
-import Mathbin.Algebra.Ring.Regular
+import Algebra.GroupPower.Order
+import Algebra.Ring.Regular
 
 #align_import data.set.intervals.instances from "leanprover-community/mathlib"@"4d392a6c9c4539cbeca399b3ee0afea398fbd2eb"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

@@ -432,9 +432,9 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
     CancelMonoid (Ioc (0 : α) 1) :=
   {
     Set.Ioc.monoid with
-    mul_left_cancel := fun a b c h =>
+    hMul_left_cancel := fun a b c h =>
       Subtype.ext <| mul_left_cancel₀ a.Prop.1.ne' <| (congr_arg Subtype.val h : _)
-    mul_right_cancel := fun a b c h =>
+    hMul_right_cancel := fun a b c h =>
       Subtype.ext <| mul_right_cancel₀ b.Prop.1.ne' <| (congr_arg Subtype.val h : _) }
 #align set.Ioc.cancel_monoid Set.Ioc.cancelMonoid
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Stuart Presnell. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Stuart Presnell, Eric Wieser, Yaël Dillies, Patrick Massot, Scott Morrison
-
-! This file was ported from Lean 3 source module data.set.intervals.instances
-! leanprover-community/mathlib commit 4d392a6c9c4539cbeca399b3ee0afea398fbd2eb
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.GroupPower.Order
 import Mathbin.Algebra.Ring.Regular
 
+#align_import data.set.intervals.instances from "leanprover-community/mathlib"@"4d392a6c9c4539cbeca399b3ee0afea398fbd2eb"
+
 /-!
 # Algebraic instances for unit intervals
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -54,16 +54,22 @@ variable [OrderedSemiring α]
 
 namespace Set.Icc
 
+#print Set.Icc.zero /-
 instance zero : Zero (Icc (0 : α) 1) where zero := ⟨0, left_mem_Icc.2 zero_le_one⟩
 #align set.Icc.has_zero Set.Icc.zero
+-/
 
+#print Set.Icc.one /-
 instance one : One (Icc (0 : α) 1) where one := ⟨1, right_mem_Icc.2 zero_le_one⟩
 #align set.Icc.has_one Set.Icc.one
+-/
 
+#print Set.Icc.coe_zero /-
 @[simp, norm_cast]
 theorem coe_zero : ↑(0 : Icc (0 : α) 1) = (0 : α) :=
   rfl
 #align set.Icc.coe_zero Set.Icc.coe_zero
+-/
 
 #print Set.Icc.coe_one /-
 @[simp, norm_cast]
@@ -72,112 +78,160 @@ theorem coe_one : ↑(1 : Icc (0 : α) 1) = (1 : α) :=
 #align set.Icc.coe_one Set.Icc.coe_one
 -/
 
+#print Set.Icc.mk_zero /-
 @[simp]
 theorem mk_zero (h : (0 : α) ∈ Icc (0 : α) 1) : (⟨0, h⟩ : Icc (0 : α) 1) = 0 :=
   rfl
 #align set.Icc.mk_zero Set.Icc.mk_zero
+-/
 
+#print Set.Icc.mk_one /-
 @[simp]
 theorem mk_one (h : (1 : α) ∈ Icc (0 : α) 1) : (⟨1, h⟩ : Icc (0 : α) 1) = 1 :=
   rfl
 #align set.Icc.mk_one Set.Icc.mk_one
+-/
 
+#print Set.Icc.coe_eq_zero /-
 @[simp, norm_cast]
 theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_zero Set.Icc.coe_eq_zero
+-/
 
+#print Set.Icc.coe_ne_zero /-
 theorem coe_ne_zero {x : Icc (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
 #align set.Icc.coe_ne_zero Set.Icc.coe_ne_zero
+-/
 
+#print Set.Icc.coe_eq_one /-
 @[simp, norm_cast]
 theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_one Set.Icc.coe_eq_one
+-/
 
+#print Set.Icc.coe_ne_one /-
 theorem coe_ne_one {x : Icc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
 #align set.Icc.coe_ne_one Set.Icc.coe_ne_one
+-/
 
+#print Set.Icc.coe_nonneg /-
 theorem coe_nonneg (x : Icc (0 : α) 1) : 0 ≤ (x : α) :=
   x.2.1
 #align set.Icc.coe_nonneg Set.Icc.coe_nonneg
+-/
 
+#print Set.Icc.coe_le_one /-
 theorem coe_le_one (x : Icc (0 : α) 1) : (x : α) ≤ 1 :=
   x.2.2
 #align set.Icc.coe_le_one Set.Icc.coe_le_one
+-/
 
+#print Set.Icc.nonneg /-
 /-- like `coe_nonneg`, but with the inequality in `Icc (0:α) 1`. -/
 theorem nonneg {t : Icc (0 : α) 1} : 0 ≤ t :=
   t.2.1
 #align set.Icc.nonneg Set.Icc.nonneg
+-/
 
+#print Set.Icc.le_one /-
 /-- like `coe_le_one`, but with the inequality in `Icc (0:α) 1`. -/
 theorem le_one {t : Icc (0 : α) 1} : t ≤ 1 :=
   t.2.2
 #align set.Icc.le_one Set.Icc.le_one
+-/
 
+#print Set.Icc.mul /-
 instance mul : Mul (Icc (0 : α) 1)
     where mul p q := ⟨p * q, ⟨mul_nonneg p.2.1 q.2.1, mul_le_one p.2.2 q.2.1 q.2.2⟩⟩
 #align set.Icc.has_mul Set.Icc.mul
+-/
 
+#print Set.Icc.pow /-
 instance pow : Pow (Icc (0 : α) 1) ℕ
     where pow p n := ⟨p.1 ^ n, ⟨pow_nonneg p.2.1 n, pow_le_one n p.2.1 p.2.2⟩⟩
 #align set.Icc.has_pow Set.Icc.pow
+-/
 
+#print Set.Icc.coe_mul /-
 @[simp, norm_cast]
 theorem coe_mul (x y : Icc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Icc.coe_mul Set.Icc.coe_mul
+-/
 
+#print Set.Icc.coe_pow /-
 @[simp, norm_cast]
 theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
   rfl
 #align set.Icc.coe_pow Set.Icc.coe_pow
+-/
 
+#print Set.Icc.mul_le_left /-
 theorem mul_le_left {x y : Icc (0 : α) 1} : x * y ≤ x :=
   (mul_le_mul_of_nonneg_left y.2.2 x.2.1).trans_eq (mul_one x)
 #align set.Icc.mul_le_left Set.Icc.mul_le_left
+-/
 
+#print Set.Icc.mul_le_right /-
 theorem mul_le_right {x y : Icc (0 : α) 1} : x * y ≤ y :=
   (mul_le_mul_of_nonneg_right x.2.2 y.2.1).trans_eq (one_mul y)
 #align set.Icc.mul_le_right Set.Icc.mul_le_right
+-/
 
+#print Set.Icc.monoidWithZero /-
 instance monoidWithZero : MonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.MonoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.monoid_with_zero Set.Icc.monoidWithZero
+-/
 
+#print Set.Icc.commMonoidWithZero /-
 instance commMonoidWithZero {α : Type _} [OrderedCommSemiring α] :
     CommMonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.CommMonoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.comm_monoid_with_zero Set.Icc.commMonoidWithZero
+-/
 
+#print Set.Icc.cancelMonoidWithZero /-
 instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α] :
     CancelMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelMonoidWithZero α _ NoZeroDivisors.toCancelMonoidWithZero _ _ _ _ coe
     Subtype.coe_injective coe_zero coe_one coe_mul coe_pow
 #align set.Icc.cancel_monoid_with_zero Set.Icc.cancelMonoidWithZero
+-/
 
+#print Set.Icc.cancelCommMonoidWithZero /-
 instance cancelCommMonoidWithZero {α : Type _} [OrderedCommRing α] [NoZeroDivisors α] :
     CancelCommMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelCommMonoidWithZero α _ NoZeroDivisors.toCancelCommMonoidWithZero _ _ _ _
     coe Subtype.coe_injective coe_zero coe_one coe_mul coe_pow
 #align set.Icc.cancel_comm_monoid_with_zero Set.Icc.cancelCommMonoidWithZero
+-/
 
 variable {β : Type _} [OrderedRing β]
 
+#print Set.Icc.one_sub_mem /-
 theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 := by
   rw [mem_Icc] at *; exact ⟨sub_nonneg.2 ht.2, (sub_le_self_iff _).2 ht.1⟩
 #align set.Icc.one_sub_mem Set.Icc.one_sub_mem
+-/
 
+#print Set.Icc.mem_iff_one_sub_mem /-
 theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
 #align set.Icc.mem_iff_one_sub_mem Set.Icc.mem_iff_one_sub_mem
+-/
 
+#print Set.Icc.one_sub_nonneg /-
 theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa using x.2.2
 #align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonneg
+-/
 
+#print Set.Icc.one_sub_le_one /-
 theorem one_sub_le_one (x : Icc (0 : β) 1) : 1 - (x : β) ≤ 1 := by simpa using x.2.1
 #align set.Icc.one_sub_le_one Set.Icc.one_sub_le_one
+-/
 
 end Set.Icc
 
@@ -186,58 +240,82 @@ end Set.Icc
 
 namespace Set.Ico
 
+#print Set.Ico.zero /-
 instance zero [Nontrivial α] : Zero (Ico (0 : α) 1) where zero := ⟨0, left_mem_Ico.2 zero_lt_one⟩
 #align set.Ico.has_zero Set.Ico.zero
+-/
 
+#print Set.Ico.coe_zero /-
 @[simp, norm_cast]
 theorem coe_zero [Nontrivial α] : ↑(0 : Ico (0 : α) 1) = (0 : α) :=
   rfl
 #align set.Ico.coe_zero Set.Ico.coe_zero
+-/
 
+#print Set.Ico.mk_zero /-
 @[simp]
 theorem mk_zero [Nontrivial α] (h : (0 : α) ∈ Ico (0 : α) 1) : (⟨0, h⟩ : Ico (0 : α) 1) = 0 :=
   rfl
 #align set.Ico.mk_zero Set.Ico.mk_zero
+-/
 
+#print Set.Ico.coe_eq_zero /-
 @[simp, norm_cast]
 theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm;
   exact Subtype.ext_iff
 #align set.Ico.coe_eq_zero Set.Ico.coe_eq_zero
+-/
 
+#print Set.Ico.coe_ne_zero /-
 theorem coe_ne_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
 #align set.Ico.coe_ne_zero Set.Ico.coe_ne_zero
+-/
 
+#print Set.Ico.coe_nonneg /-
 theorem coe_nonneg (x : Ico (0 : α) 1) : 0 ≤ (x : α) :=
   x.2.1
 #align set.Ico.coe_nonneg Set.Ico.coe_nonneg
+-/
 
+#print Set.Ico.coe_lt_one /-
 theorem coe_lt_one (x : Ico (0 : α) 1) : (x : α) < 1 :=
   x.2.2
 #align set.Ico.coe_lt_one Set.Ico.coe_lt_one
+-/
 
+#print Set.Ico.nonneg /-
 /-- like `coe_nonneg`, but with the inequality in `Ico (0:α) 1`. -/
 theorem nonneg [Nontrivial α] {t : Ico (0 : α) 1} : 0 ≤ t :=
   t.2.1
 #align set.Ico.nonneg Set.Ico.nonneg
+-/
 
+#print Set.Ico.mul /-
 instance mul : Mul (Ico (0 : α) 1)
     where mul p q :=
     ⟨p * q, ⟨mul_nonneg p.2.1 q.2.1, mul_lt_one_of_nonneg_of_lt_one_right p.2.2.le q.2.1 q.2.2⟩⟩
 #align set.Ico.has_mul Set.Ico.mul
+-/
 
+#print Set.Ico.coe_mul /-
 @[simp, norm_cast]
 theorem coe_mul (x y : Ico (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ico.coe_mul Set.Ico.coe_mul
+-/
 
+#print Set.Ico.semigroup /-
 instance semigroup : Semigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ico.semigroup Set.Ico.semigroup
+-/
 
+#print Set.Ico.commSemigroup /-
 instance commSemigroup {α : Type _} [OrderedCommSemiring α] : CommSemigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ico.comm_semigroup Set.Ico.commSemigroup
+-/
 
 end Set.Ico
 
@@ -250,8 +328,10 @@ variable [StrictOrderedSemiring α]
 
 namespace Set.Ioc
 
+#print Set.Ioc.one /-
 instance one [Nontrivial α] : One (Ioc (0 : α) 1) where one := ⟨1, ⟨zero_lt_one, le_refl 1⟩⟩
 #align set.Ioc.has_one Set.Ioc.one
+-/
 
 #print Set.Ioc.coe_one /-
 @[simp, norm_cast]
@@ -260,68 +340,97 @@ theorem coe_one [Nontrivial α] : ↑(1 : Ioc (0 : α) 1) = (1 : α) :=
 #align set.Ioc.coe_one Set.Ioc.coe_one
 -/
 
+#print Set.Ioc.mk_one /-
 @[simp]
 theorem mk_one [Nontrivial α] (h : (1 : α) ∈ Ioc (0 : α) 1) : (⟨1, h⟩ : Ioc (0 : α) 1) = 1 :=
   rfl
 #align set.Ioc.mk_one Set.Ioc.mk_one
+-/
 
+#print Set.Ioc.coe_eq_one /-
 @[simp, norm_cast]
 theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm;
   exact Subtype.ext_iff
 #align set.Ioc.coe_eq_one Set.Ioc.coe_eq_one
+-/
 
+#print Set.Ioc.coe_ne_one /-
 theorem coe_ne_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
 #align set.Ioc.coe_ne_one Set.Ioc.coe_ne_one
+-/
 
+#print Set.Ioc.coe_pos /-
 theorem coe_pos (x : Ioc (0 : α) 1) : 0 < (x : α) :=
   x.2.1
 #align set.Ioc.coe_pos Set.Ioc.coe_pos
+-/
 
+#print Set.Ioc.coe_le_one /-
 theorem coe_le_one (x : Ioc (0 : α) 1) : (x : α) ≤ 1 :=
   x.2.2
 #align set.Ioc.coe_le_one Set.Ioc.coe_le_one
+-/
 
+#print Set.Ioc.le_one /-
 /-- like `coe_le_one`, but with the inequality in `Ioc (0:α) 1`. -/
 theorem le_one [Nontrivial α] {t : Ioc (0 : α) 1} : t ≤ 1 :=
   t.2.2
 #align set.Ioc.le_one Set.Ioc.le_one
+-/
 
+#print Set.Ioc.mul /-
 instance mul : Mul (Ioc (0 : α) 1)
     where mul p q := ⟨p.1 * q.1, ⟨mul_pos p.2.1 q.2.1, mul_le_one p.2.2 (le_of_lt q.2.1) q.2.2⟩⟩
 #align set.Ioc.has_mul Set.Ioc.mul
+-/
 
+#print Set.Ioc.pow /-
 instance pow : Pow (Ioc (0 : α) 1) ℕ
     where pow p n := ⟨p.1 ^ n, ⟨pow_pos p.2.1 n, pow_le_one n (le_of_lt p.2.1) p.2.2⟩⟩
 #align set.Ioc.has_pow Set.Ioc.pow
+-/
 
+#print Set.Ioc.coe_mul /-
 @[simp, norm_cast]
 theorem coe_mul (x y : Ioc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ioc.coe_mul Set.Ioc.coe_mul
+-/
 
+#print Set.Ioc.coe_pow /-
 @[simp, norm_cast]
 theorem coe_pow (x : Ioc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
   rfl
 #align set.Ioc.coe_pow Set.Ioc.coe_pow
+-/
 
+#print Set.Ioc.semigroup /-
 instance semigroup : Semigroup (Ioc (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ioc.semigroup Set.Ioc.semigroup
+-/
 
+#print Set.Ioc.monoid /-
 instance monoid [Nontrivial α] : Monoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.Monoid _ coe_one coe_mul coe_pow
 #align set.Ioc.monoid Set.Ioc.monoid
+-/
 
+#print Set.Ioc.commSemigroup /-
 instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioc (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ioc.comm_semigroup Set.Ioc.commSemigroup
+-/
 
+#print Set.Ioc.commMonoid /-
 instance commMonoid {α : Type _} [StrictOrderedCommSemiring α] [Nontrivial α] :
     CommMonoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.CommMonoid _ coe_one coe_mul coe_pow
 #align set.Ioc.comm_monoid Set.Ioc.commMonoid
+-/
 
+#print Set.Ioc.cancelMonoid /-
 instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
     CancelMonoid (Ioc (0 : α) 1) :=
   {
@@ -331,11 +440,14 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
     mul_right_cancel := fun a b c h =>
       Subtype.ext <| mul_right_cancel₀ b.Prop.1.ne' <| (congr_arg Subtype.val h : _) }
 #align set.Ioc.cancel_monoid Set.Ioc.cancelMonoid
+-/
 
+#print Set.Ioc.cancelCommMonoid /-
 instance cancelCommMonoid {α : Type _} [StrictOrderedCommRing α] [IsDomain α] :
     CancelCommMonoid (Ioc (0 : α) 1) :=
   { Set.Ioc.cancelMonoid, Set.Ioc.commMonoid with }
 #align set.Ioc.cancel_comm_monoid Set.Ioc.cancelCommMonoid
+-/
 
 end Set.Ioc
 
@@ -344,50 +456,70 @@ end Set.Ioc
 
 namespace Set.Ioo
 
+#print Set.Ioo.pos /-
 theorem pos (x : Ioo (0 : α) 1) : 0 < (x : α) :=
   x.2.1
 #align set.Ioo.pos Set.Ioo.pos
+-/
 
+#print Set.Ioo.lt_one /-
 theorem lt_one (x : Ioo (0 : α) 1) : (x : α) < 1 :=
   x.2.2
 #align set.Ioo.lt_one Set.Ioo.lt_one
+-/
 
+#print Set.Ioo.mul /-
 instance mul : Mul (Ioo (0 : α) 1)
     where mul p q :=
     ⟨p.1 * q.1, ⟨mul_pos p.2.1 q.2.1, mul_lt_one_of_nonneg_of_lt_one_right p.2.2.le q.2.1.le q.2.2⟩⟩
 #align set.Ioo.has_mul Set.Ioo.mul
+-/
 
+#print Set.Ioo.coe_mul /-
 @[simp, norm_cast]
 theorem coe_mul (x y : Ioo (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ioo.coe_mul Set.Ioo.coe_mul
+-/
 
+#print Set.Ioo.semigroup /-
 instance semigroup : Semigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ioo.semigroup Set.Ioo.semigroup
+-/
 
+#print Set.Ioo.commSemigroup /-
 instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ioo.comm_semigroup Set.Ioo.commSemigroup
+-/
 
 variable {β : Type _} [OrderedRing β]
 
+#print Set.Ioo.one_sub_mem /-
 theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β) 1 :=
   by
   rw [mem_Ioo] at *
   refine' ⟨sub_pos.2 ht.2, _⟩
   exact lt_of_le_of_ne ((sub_le_self_iff 1).2 ht.1.le) (mt sub_eq_self.mp ht.1.ne')
 #align set.Ioo.one_sub_mem Set.Ioo.one_sub_mem
+-/
 
+#print Set.Ioo.mem_iff_one_sub_mem /-
 theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
 #align set.Ioo.mem_iff_one_sub_mem Set.Ioo.mem_iff_one_sub_mem
+-/
 
+#print Set.Ioo.one_minus_pos /-
 theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using x.2.2
 #align set.Ioo.one_minus_pos Set.Ioo.one_minus_pos
+-/
 
+#print Set.Ioo.one_minus_lt_one /-
 theorem one_minus_lt_one (x : Ioo (0 : β) 1) : 1 - (x : β) < 1 := by simpa using x.2.1
 #align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_one
+-/
 
 end Set.Ioo
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -54,30 +54,12 @@ variable [OrderedSemiring α]
 
 namespace Set.Icc
 
-/- warning: set.Icc.has_zero -> Set.Icc.zero is a dubious translation:
-lean 3 declaration is
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 instance zero : Zero (Icc (0 : α) 1) where zero := ⟨0, left_mem_Icc.2 zero_le_one⟩
 #align set.Icc.has_zero Set.Icc.zero
 
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 instance one : One (Icc (0 : α) 1) where one := ⟨1, right_mem_Icc.2 zero_le_one⟩
 #align set.Icc.has_one Set.Icc.one
 
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 @[simp, norm_cast]
 theorem coe_zero : ↑(0 : Icc (0 : α) 1) = (0 : α) :=
   rfl
@@ -90,187 +72,91 @@ theorem coe_one : ↑(1 : Icc (0 : α) 1) = (1 : α) :=
 #align set.Icc.coe_one Set.Icc.coe_one
 -/
 
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 @[simp]
 theorem mk_zero (h : (0 : α) ∈ Icc (0 : α) 1) : (⟨0, h⟩ : Icc (0 : α) 1) = 0 :=
   rfl
 #align set.Icc.mk_zero Set.Icc.mk_zero
 
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 @[simp]
 theorem mk_one (h : (1 : α) ∈ Icc (0 : α) 1) : (⟨1, h⟩ : Icc (0 : α) 1) = 1 :=
   rfl
 #align set.Icc.mk_one Set.Icc.mk_one
 
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 @[simp, norm_cast]
 theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_zero Set.Icc.coe_eq_zero
 
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 theorem coe_ne_zero {x : Icc (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
 #align set.Icc.coe_ne_zero Set.Icc.coe_ne_zero
 
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 @[simp, norm_cast]
 theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_one Set.Icc.coe_eq_one
 
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 theorem coe_ne_one {x : Icc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
 #align set.Icc.coe_ne_one Set.Icc.coe_ne_one
 
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 theorem coe_nonneg (x : Icc (0 : α) 1) : 0 ≤ (x : α) :=
   x.2.1
 #align set.Icc.coe_nonneg Set.Icc.coe_nonneg
 
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 theorem coe_le_one (x : Icc (0 : α) 1) : (x : α) ≤ 1 :=
   x.2.2
 #align set.Icc.coe_le_one Set.Icc.coe_le_one
 
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 /-- like `coe_nonneg`, but with the inequality in `Icc (0:α) 1`. -/
 theorem nonneg {t : Icc (0 : α) 1} : 0 ≤ t :=
   t.2.1
 #align set.Icc.nonneg Set.Icc.nonneg
 
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 /-- like `coe_le_one`, but with the inequality in `Icc (0:α) 1`. -/
 theorem le_one {t : Icc (0 : α) 1} : t ≤ 1 :=
   t.2.2
 #align set.Icc.le_one Set.Icc.le_one
 
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 instance mul : Mul (Icc (0 : α) 1)
     where mul p q := ⟨p * q, ⟨mul_nonneg p.2.1 q.2.1, mul_le_one p.2.2 q.2.1 q.2.2⟩⟩
 #align set.Icc.has_mul Set.Icc.mul
 
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 instance pow : Pow (Icc (0 : α) 1) ℕ
     where pow p n := ⟨p.1 ^ n, ⟨pow_nonneg p.2.1 n, pow_le_one n p.2.1 p.2.2⟩⟩
 #align set.Icc.has_pow Set.Icc.pow
 
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 @[simp, norm_cast]
 theorem coe_mul (x y : Icc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Icc.coe_mul Set.Icc.coe_mul
 
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 @[simp, norm_cast]
 theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
   rfl
 #align set.Icc.coe_pow Set.Icc.coe_pow
 
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 theorem mul_le_left {x y : Icc (0 : α) 1} : x * y ≤ x :=
   (mul_le_mul_of_nonneg_left y.2.2 x.2.1).trans_eq (mul_one x)
 #align set.Icc.mul_le_left Set.Icc.mul_le_left
 
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 theorem mul_le_right {x y : Icc (0 : α) 1} : x * y ≤ y :=
   (mul_le_mul_of_nonneg_right x.2.2 y.2.1).trans_eq (one_mul y)
 #align set.Icc.mul_le_right Set.Icc.mul_le_right
 
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 instance monoidWithZero : MonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.MonoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.monoid_with_zero Set.Icc.monoidWithZero
 
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 instance commMonoidWithZero {α : Type _} [OrderedCommSemiring α] :
     CommMonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.CommMonoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.comm_monoid_with_zero Set.Icc.commMonoidWithZero
 
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 instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α] :
     CancelMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelMonoidWithZero α _ NoZeroDivisors.toCancelMonoidWithZero _ _ _ _ coe
     Subtype.coe_injective coe_zero coe_one coe_mul coe_pow
 #align set.Icc.cancel_monoid_with_zero Set.Icc.cancelMonoidWithZero
 
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 instance cancelCommMonoidWithZero {α : Type _} [OrderedCommRing α] [NoZeroDivisors α] :
     CancelCommMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelCommMonoidWithZero α _ NoZeroDivisors.toCancelCommMonoidWithZero _ _ _ _
@@ -279,41 +165,17 @@ instance cancelCommMonoidWithZero {α : Type _} [OrderedCommRing α] [NoZeroDivi
 
 variable {β : Type _} [OrderedRing β]
 
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 theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 := by
   rw [mem_Icc] at *; exact ⟨sub_nonneg.2 ht.2, (sub_le_self_iff _).2 ht.1⟩
 #align set.Icc.one_sub_mem Set.Icc.one_sub_mem
 
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 theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
 #align set.Icc.mem_iff_one_sub_mem Set.Icc.mem_iff_one_sub_mem
 
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 theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa using x.2.2
 #align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonneg
 
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 theorem one_sub_le_one (x : Icc (0 : β) 1) : 1 - (x : β) ≤ 1 := by simpa using x.2.1
 #align set.Icc.one_sub_le_one Set.Icc.one_sub_le_one
 
@@ -324,118 +186,55 @@ end Set.Icc
 
 namespace Set.Ico
 
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 instance zero [Nontrivial α] : Zero (Ico (0 : α) 1) where zero := ⟨0, left_mem_Ico.2 zero_lt_one⟩
 #align set.Ico.has_zero Set.Ico.zero
 
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 @[simp, norm_cast]
 theorem coe_zero [Nontrivial α] : ↑(0 : Ico (0 : α) 1) = (0 : α) :=
   rfl
 #align set.Ico.coe_zero Set.Ico.coe_zero
 
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 @[simp]
 theorem mk_zero [Nontrivial α] (h : (0 : α) ∈ Ico (0 : α) 1) : (⟨0, h⟩ : Ico (0 : α) 1) = 0 :=
   rfl
 #align set.Ico.mk_zero Set.Ico.mk_zero
 
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 @[simp, norm_cast]
 theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm;
   exact Subtype.ext_iff
 #align set.Ico.coe_eq_zero Set.Ico.coe_eq_zero
 
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 theorem coe_ne_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
 #align set.Ico.coe_ne_zero Set.Ico.coe_ne_zero
 
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 theorem coe_nonneg (x : Ico (0 : α) 1) : 0 ≤ (x : α) :=
   x.2.1
 #align set.Ico.coe_nonneg Set.Ico.coe_nonneg
 
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 theorem coe_lt_one (x : Ico (0 : α) 1) : (x : α) < 1 :=
   x.2.2
 #align set.Ico.coe_lt_one Set.Ico.coe_lt_one
 
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 /-- like `coe_nonneg`, but with the inequality in `Ico (0:α) 1`. -/
 theorem nonneg [Nontrivial α] {t : Ico (0 : α) 1} : 0 ≤ t :=
   t.2.1
 #align set.Ico.nonneg Set.Ico.nonneg
 
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 instance mul : Mul (Ico (0 : α) 1)
     where mul p q :=
     ⟨p * q, ⟨mul_nonneg p.2.1 q.2.1, mul_lt_one_of_nonneg_of_lt_one_right p.2.2.le q.2.1 q.2.2⟩⟩
 #align set.Ico.has_mul Set.Ico.mul
 
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 @[simp, norm_cast]
 theorem coe_mul (x y : Ico (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ico.coe_mul Set.Ico.coe_mul
 
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 instance semigroup : Semigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ico.semigroup Set.Ico.semigroup
 
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 instance commSemigroup {α : Type _} [OrderedCommSemiring α] : CommSemigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ico.comm_semigroup Set.Ico.commSemigroup
@@ -451,12 +250,6 @@ variable [StrictOrderedSemiring α]
 
 namespace Set.Ioc
 
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 instance one [Nontrivial α] : One (Ioc (0 : α) 1) where one := ⟨1, ⟨zero_lt_one, le_refl 1⟩⟩
 #align set.Ioc.has_one Set.Ioc.one
 
@@ -467,146 +260,68 @@ theorem coe_one [Nontrivial α] : ↑(1 : Ioc (0 : α) 1) = (1 : α) :=
 #align set.Ioc.coe_one Set.Ioc.coe_one
 -/
 
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 @[simp]
 theorem mk_one [Nontrivial α] (h : (1 : α) ∈ Ioc (0 : α) 1) : (⟨1, h⟩ : Ioc (0 : α) 1) = 1 :=
   rfl
 #align set.Ioc.mk_one Set.Ioc.mk_one
 
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 @[simp, norm_cast]
 theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm;
   exact Subtype.ext_iff
 #align set.Ioc.coe_eq_one Set.Ioc.coe_eq_one
 
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 theorem coe_ne_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
 #align set.Ioc.coe_ne_one Set.Ioc.coe_ne_one
 
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 theorem coe_pos (x : Ioc (0 : α) 1) : 0 < (x : α) :=
   x.2.1
 #align set.Ioc.coe_pos Set.Ioc.coe_pos
 
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 theorem coe_le_one (x : Ioc (0 : α) 1) : (x : α) ≤ 1 :=
   x.2.2
 #align set.Ioc.coe_le_one Set.Ioc.coe_le_one
 
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 /-- like `coe_le_one`, but with the inequality in `Ioc (0:α) 1`. -/
 theorem le_one [Nontrivial α] {t : Ioc (0 : α) 1} : t ≤ 1 :=
   t.2.2
 #align set.Ioc.le_one Set.Ioc.le_one
 
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 instance mul : Mul (Ioc (0 : α) 1)
     where mul p q := ⟨p.1 * q.1, ⟨mul_pos p.2.1 q.2.1, mul_le_one p.2.2 (le_of_lt q.2.1) q.2.2⟩⟩
 #align set.Ioc.has_mul Set.Ioc.mul
 
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 instance pow : Pow (Ioc (0 : α) 1) ℕ
     where pow p n := ⟨p.1 ^ n, ⟨pow_pos p.2.1 n, pow_le_one n (le_of_lt p.2.1) p.2.2⟩⟩
 #align set.Ioc.has_pow Set.Ioc.pow
 
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 @[simp, norm_cast]
 theorem coe_mul (x y : Ioc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ioc.coe_mul Set.Ioc.coe_mul
 
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 @[simp, norm_cast]
 theorem coe_pow (x : Ioc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
   rfl
 #align set.Ioc.coe_pow Set.Ioc.coe_pow
 
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 instance semigroup : Semigroup (Ioc (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ioc.semigroup Set.Ioc.semigroup
 
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 instance monoid [Nontrivial α] : Monoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.Monoid _ coe_one coe_mul coe_pow
 #align set.Ioc.monoid Set.Ioc.monoid
 
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 instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioc (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ioc.comm_semigroup Set.Ioc.commSemigroup
 
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 instance commMonoid {α : Type _} [StrictOrderedCommSemiring α] [Nontrivial α] :
     CommMonoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.CommMonoid _ coe_one coe_mul coe_pow
 #align set.Ioc.comm_monoid Set.Ioc.commMonoid
 
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 instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
     CancelMonoid (Ioc (0 : α) 1) :=
   {
@@ -617,12 +332,6 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
       Subtype.ext <| mul_right_cancel₀ b.Prop.1.ne' <| (congr_arg Subtype.val h : _) }
 #align set.Ioc.cancel_monoid Set.Ioc.cancelMonoid
 
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 instance cancelCommMonoid {α : Type _} [StrictOrderedCommRing α] [IsDomain α] :
     CancelCommMonoid (Ioc (0 : α) 1) :=
   { Set.Ioc.cancelMonoid, Set.Ioc.commMonoid with }
@@ -635,73 +344,34 @@ end Set.Ioc
 
 namespace Set.Ioo
 
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 theorem pos (x : Ioo (0 : α) 1) : 0 < (x : α) :=
   x.2.1
 #align set.Ioo.pos Set.Ioo.pos
 
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 theorem lt_one (x : Ioo (0 : α) 1) : (x : α) < 1 :=
   x.2.2
 #align set.Ioo.lt_one Set.Ioo.lt_one
 
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 instance mul : Mul (Ioo (0 : α) 1)
     where mul p q :=
     ⟨p.1 * q.1, ⟨mul_pos p.2.1 q.2.1, mul_lt_one_of_nonneg_of_lt_one_right p.2.2.le q.2.1.le q.2.2⟩⟩
 #align set.Ioo.has_mul Set.Ioo.mul
 
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 @[simp, norm_cast]
 theorem coe_mul (x y : Ioo (0 : α) 1) : ↑(x * y) = (x * y : α) :=
   rfl
 #align set.Ioo.coe_mul Set.Ioo.coe_mul
 
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 instance semigroup : Semigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.Semigroup _ coe_mul
 #align set.Ioo.semigroup Set.Ioo.semigroup
 
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 instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.CommSemigroup _ coe_mul
 #align set.Ioo.comm_semigroup Set.Ioo.commSemigroup
 
 variable {β : Type _} [OrderedRing β]
 
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 theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β) 1 :=
   by
   rw [mem_Ioo] at *
@@ -709,31 +379,13 @@ theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β
   exact lt_of_le_of_ne ((sub_le_self_iff 1).2 ht.1.le) (mt sub_eq_self.mp ht.1.ne')
 #align set.Ioo.one_sub_mem Set.Ioo.one_sub_mem
 
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 theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
 #align set.Ioo.mem_iff_one_sub_mem Set.Ioo.mem_iff_one_sub_mem
 
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 theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using x.2.2
 #align set.Ioo.one_minus_pos Set.Ioo.one_minus_pos
 
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-Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_oneₓ'. -/
 theorem one_minus_lt_one (x : Ioo (0 : β) 1) : 1 - (x : β) < 1 := by simpa using x.2.1
 #align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_one
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -116,10 +116,7 @@ theorem mk_one (h : (1 : α) ∈ Icc (0 : α) 1) : (⟨1, h⟩ : Icc (0 : α) 1)
 <too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_eq_zero Set.Icc.coe_eq_zeroₓ'. -/
 @[simp, norm_cast]
-theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 :=
-  by
-  symm
-  exact Subtype.ext_iff
+theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_zero Set.Icc.coe_eq_zero
 
 /- warning: set.Icc.coe_ne_zero -> Set.Icc.coe_ne_zero is a dubious translation:
@@ -133,10 +130,7 @@ theorem coe_ne_zero {x : Icc (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_eq_one Set.Icc.coe_eq_oneₓ'. -/
 @[simp, norm_cast]
-theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 :=
-  by
-  symm
-  exact Subtype.ext_iff
+theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm; exact Subtype.ext_iff
 #align set.Icc.coe_eq_one Set.Icc.coe_eq_one
 
 /- warning: set.Icc.coe_ne_one -> Set.Icc.coe_ne_one is a dubious translation:
@@ -291,10 +285,8 @@ lean 3 declaration is
 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_mem Set.Icc.one_sub_memₓ'. -/
-theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 :=
-  by
-  rw [mem_Icc] at *
-  exact ⟨sub_nonneg.2 ht.2, (sub_le_self_iff _).2 ht.1⟩
+theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 := by
+  rw [mem_Icc] at *; exact ⟨sub_nonneg.2 ht.2, (sub_le_self_iff _).2 ht.1⟩
 #align set.Icc.one_sub_mem Set.Icc.one_sub_mem
 
 /- warning: set.Icc.mem_iff_one_sub_mem -> Set.Icc.mem_iff_one_sub_mem is a dubious translation:
@@ -367,9 +359,7 @@ theorem mk_zero [Nontrivial α] (h : (0 : α) ∈ Ico (0 : α) 1) : (⟨0, h⟩
 <too large>
 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_eq_zero Set.Ico.coe_eq_zeroₓ'. -/
 @[simp, norm_cast]
-theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x = 0 :=
-  by
-  symm
+theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x = 0 := by symm;
   exact Subtype.ext_iff
 #align set.Ico.coe_eq_zero Set.Ico.coe_eq_zero
 
@@ -492,9 +482,7 @@ theorem mk_one [Nontrivial α] (h : (1 : α) ∈ Ioc (0 : α) 1) : (⟨1, h⟩ :
 <too large>
 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_eq_one Set.Ioc.coe_eq_oneₓ'. -/
 @[simp, norm_cast]
-theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1 :=
-  by
-  symm
+theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1 := by symm;
   exact Subtype.ext_iff
 #align set.Ioc.coe_eq_one Set.Ioc.coe_eq_one
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -113,10 +113,7 @@ theorem mk_one (h : (1 : α) ∈ Icc (0 : α) 1) : (⟨1, h⟩ : Icc (0 : α) 1)
 #align set.Icc.mk_one Set.Icc.mk_one
 
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 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_eq_zero Set.Icc.coe_eq_zeroₓ'. -/
 @[simp, norm_cast]
 theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 :=
@@ -126,20 +123,14 @@ theorem coe_eq_zero {x : Icc (0 : α) 1} : (x : α) = 0 ↔ x = 0 :=
 #align set.Icc.coe_eq_zero Set.Icc.coe_eq_zero
 
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 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_ne_zero Set.Icc.coe_ne_zeroₓ'. -/
 theorem coe_ne_zero {x : Icc (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
 #align set.Icc.coe_ne_zero Set.Icc.coe_ne_zero
 
 /- warning: set.Icc.coe_eq_one -> Set.Icc.coe_eq_one is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_eq_one Set.Icc.coe_eq_oneₓ'. -/
 @[simp, norm_cast]
 theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 :=
@@ -149,10 +140,7 @@ theorem coe_eq_one {x : Icc (0 : α) 1} : (x : α) = 1 ↔ x = 1 :=
 #align set.Icc.coe_eq_one Set.Icc.coe_eq_one
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_ne_one Set.Icc.coe_ne_oneₓ'. -/
 theorem coe_ne_one {x : Icc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
@@ -221,10 +209,7 @@ instance pow : Pow (Icc (0 : α) 1) ℕ
 #align set.Icc.has_pow Set.Icc.pow
 
 /- warning: set.Icc.coe_mul -> Set.Icc.coe_mul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_mul Set.Icc.coe_mulₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul (x y : Icc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
@@ -232,10 +217,7 @@ theorem coe_mul (x y : Icc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
 #align set.Icc.coe_mul Set.Icc.coe_mul
 
 /- warning: set.Icc.coe_pow -> Set.Icc.coe_pow is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_pow Set.Icc.coe_powₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
@@ -243,20 +225,14 @@ theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
 #align set.Icc.coe_pow Set.Icc.coe_pow
 
 /- warning: set.Icc.mul_le_left -> Set.Icc.mul_le_left is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.mul_le_left Set.Icc.mul_le_leftₓ'. -/
 theorem mul_le_left {x y : Icc (0 : α) 1} : x * y ≤ x :=
   (mul_le_mul_of_nonneg_left y.2.2 x.2.1).trans_eq (mul_one x)
 #align set.Icc.mul_le_left Set.Icc.mul_le_left
 
 /- warning: set.Icc.mul_le_right -> Set.Icc.mul_le_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Icc.mul_le_right Set.Icc.mul_le_rightₓ'. -/
 theorem mul_le_right {x y : Icc (0 : α) 1} : x * y ≤ y :=
   (mul_le_mul_of_nonneg_right x.2.2 y.2.1).trans_eq (one_mul y)
@@ -388,10 +364,7 @@ theorem mk_zero [Nontrivial α] (h : (0 : α) ∈ Ico (0 : α) 1) : (⟨0, h⟩
 #align set.Ico.mk_zero Set.Ico.mk_zero
 
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 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_eq_zero Set.Ico.coe_eq_zeroₓ'. -/
 @[simp, norm_cast]
 theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x = 0 :=
@@ -401,10 +374,7 @@ theorem coe_eq_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) = 0 ↔ x =
 #align set.Ico.coe_eq_zero Set.Ico.coe_eq_zero
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_ne_zero Set.Ico.coe_ne_zeroₓ'. -/
 theorem coe_ne_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) ≠ 0 ↔ x ≠ 0 :=
   not_iff_not.mpr coe_eq_zero
@@ -453,10 +423,7 @@ instance mul : Mul (Ico (0 : α) 1)
 #align set.Ico.has_mul Set.Ico.mul
 
 /- warning: set.Ico.coe_mul -> Set.Ico.coe_mul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_mul Set.Ico.coe_mulₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul (x y : Ico (0 : α) 1) : ↑(x * y) = (x * y : α) :=
@@ -522,10 +489,7 @@ theorem mk_one [Nontrivial α] (h : (1 : α) ∈ Ioc (0 : α) 1) : (⟨1, h⟩ :
 #align set.Ioc.mk_one Set.Ioc.mk_one
 
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 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_eq_one Set.Ioc.coe_eq_oneₓ'. -/
 @[simp, norm_cast]
 theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1 :=
@@ -535,10 +499,7 @@ theorem coe_eq_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) = 1 ↔ x = 1
 #align set.Ioc.coe_eq_one Set.Ioc.coe_eq_one
 
 /- warning: set.Ioc.coe_ne_one -> Set.Ioc.coe_ne_one is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_ne_one Set.Ioc.coe_ne_oneₓ'. -/
 theorem coe_ne_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
   not_iff_not.mpr coe_eq_one
@@ -596,10 +557,7 @@ instance pow : Pow (Ioc (0 : α) 1) ℕ
 #align set.Ioc.has_pow Set.Ioc.pow
 
 /- warning: set.Ioc.coe_mul -> Set.Ioc.coe_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_mul Set.Ioc.coe_mulₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul (x y : Ioc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
@@ -607,10 +565,7 @@ theorem coe_mul (x y : Ioc (0 : α) 1) : ↑(x * y) = (x * y : α) :=
 #align set.Ioc.coe_mul Set.Ioc.coe_mul
 
 /- warning: set.Ioc.coe_pow -> Set.Ioc.coe_pow is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_pow Set.Ioc.coe_powₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow (x : Ioc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
@@ -724,10 +679,7 @@ instance mul : Mul (Ioo (0 : α) 1)
 #align set.Ioo.has_mul Set.Ioo.mul
 
 /- warning: set.Ioo.coe_mul -> Set.Ioo.coe_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.Ioo.coe_mul Set.Ioo.coe_mulₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul (x y : Ioo (0 : α) 1) : ↑(x * y) = (x * y : α) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -160,7 +160,7 @@ theorem coe_ne_one {x : Icc (0 : α) 1} : (x : α) ≠ 1 ↔ x ≠ 1 :=
 
 /- warning: set.Icc.coe_nonneg -> Set.Icc.coe_nonneg is a dubious translation:
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+  forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))), LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α 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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) x)
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_nonneg Set.Icc.coe_nonnegₓ'. -/
@@ -170,7 +170,7 @@ theorem coe_nonneg (x : Icc (0 : α) 1) : 0 ≤ (x : α) :=
 
 /- warning: set.Icc.coe_le_one -> Set.Icc.coe_le_one is a dubious translation:
 lean 3 declaration is
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+  forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))), LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1)))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) α (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ 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(OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) α (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) α (coeSubtype.{succ u1} α (fun (x : α) => Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))))))) x) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) x) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.coe_le_one Set.Icc.coe_le_oneₓ'. -/
@@ -180,7 +180,7 @@ theorem coe_le_one (x : Icc (0 : α) 1) : (x : α) ≤ 1 :=
 
 /- warning: set.Icc.nonneg -> Set.Icc.nonneg is a dubious translation:
 lean 3 declaration is
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+  forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {t : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))}, LE.le.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) (Subtype.hasLe.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1)))) (fun (x : α) => Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 0 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 0 (Zero.zero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (Set.Icc.zero.{u1} α _inst_1)))) t
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {t : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) 0 (Zero.toOfNat0.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Icc.zero.{u1} α _inst_1))) t
 Case conversion may be inaccurate. Consider using '#align set.Icc.nonneg Set.Icc.nonnegₓ'. -/
@@ -191,7 +191,7 @@ theorem nonneg {t : Icc (0 : α) 1} : 0 ≤ t :=
 
 /- warning: set.Icc.le_one -> Set.Icc.le_one is a dubious translation:
 lean 3 declaration is
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+  forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {t : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))}, LE.le.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) (Subtype.hasLe.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1)))) (fun (x : α) => Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))))))) t (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommMonoid.toPartialOrder.{u1} α (OrderedSemiring.toOrderedAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (Set.Icc.one.{u1} α _inst_1))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {t : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))) t (OfNat.ofNat.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Icc.one.{u1} α _inst_1)))
 Case conversion may be inaccurate. Consider using '#align set.Icc.le_one Set.Icc.le_oneₓ'. -/
@@ -244,7 +244,7 @@ theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = (x ^ n : α) :=
 
 /- warning: set.Icc.mul_le_left -> Set.Icc.mul_le_left is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {x : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))} {y : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (instHMul.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Icc.mul.{u1} α _inst_1)) x y) x
 Case conversion may be inaccurate. Consider using '#align set.Icc.mul_le_left Set.Icc.mul_le_leftₓ'. -/
@@ -254,7 +254,7 @@ theorem mul_le_left {x y : Icc (0 : α) 1} : x * y ≤ x :=
 
 /- warning: set.Icc.mul_le_right -> Set.Icc.mul_le_right is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] {x : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))} {y : Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (instHMul.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Icc.mul.{u1} α _inst_1)) x y) y
 Case conversion may be inaccurate. Consider using '#align set.Icc.mul_le_right Set.Icc.mul_le_rightₓ'. -/
@@ -333,7 +333,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0
 
 /- warning: set.Icc.one_sub_nonneg -> Set.Icc.one_sub_nonneg is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonnegₓ'. -/
@@ -342,7 +342,7 @@ theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa usi
 
 /- warning: set.Icc.one_sub_le_one -> Set.Icc.one_sub_le_one is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_le_one Set.Icc.one_sub_le_oneₓ'. -/
@@ -412,7 +412,7 @@ theorem coe_ne_zero [Nontrivial α] {x : Ico (0 : α) 1} : (x : α) ≠ 0 ↔ x
 
 /- warning: set.Ico.coe_nonneg -> Set.Ico.coe_nonneg is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) x)
 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_nonneg Set.Ico.coe_nonnegₓ'. -/
@@ -422,7 +422,7 @@ theorem coe_nonneg (x : Ico (0 : α) 1) : 0 ≤ (x : α) :=
 
 /- warning: set.Ico.coe_lt_one -> Set.Ico.coe_lt_one is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))), LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) x) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))
 Case conversion may be inaccurate. Consider using '#align set.Ico.coe_lt_one Set.Ico.coe_lt_oneₓ'. -/
@@ -432,7 +432,7 @@ theorem coe_lt_one (x : Ico (0 : α) 1) : (x : α) < 1 :=
 
 /- warning: set.Ico.nonneg -> Set.Ico.nonneg is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : OrderedSemiring.{u1} α] [_inst_2 : Nontrivial.{u1} α] {t : Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} (Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) 0 (Zero.toOfNat0.{u1} (Set.Elem.{u1} α (Set.Ico.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Ico.zero.{u1} α _inst_1 _inst_2))) t
 Case conversion may be inaccurate. Consider using '#align set.Ico.nonneg Set.Ico.nonnegₓ'. -/
@@ -546,7 +546,7 @@ theorem coe_ne_one [Nontrivial α] {x : Ioc (0 : α) 1} : (x : α) ≠ 1 ↔ x 
 
 /- warning: set.Ioc.coe_pos -> Set.Ioc.coe_pos is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_pos Set.Ioc.coe_posₓ'. -/
@@ -556,7 +556,7 @@ theorem coe_pos (x : Ioc (0 : α) 1) : 0 < (x : α) :=
 
 /- warning: set.Ioc.coe_le_one -> Set.Ioc.coe_le_one is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) x) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.coe_le_one Set.Ioc.coe_le_oneₓ'. -/
@@ -566,7 +566,7 @@ theorem coe_le_one (x : Ioc (0 : α) 1) : (x : α) ≤ 1 :=
 
 /- warning: set.Ioc.le_one -> Set.Ioc.le_one is a dubious translation:
 lean 3 declaration is
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(Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) (Subtype.hasLe.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1)))) (fun (x : α) => Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))))))))) t (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (Set.Ioc.one.{u1} α _inst_1 _inst_2))))
+  forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] [_inst_2 : Nontrivial.{u1} α] {t : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))))}, LE.le.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))))) (Subtype.hasLe.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1)))) (fun (x : α) => Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) x (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))))))))) t (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (Set.Ioc.one.{u1} α _inst_1 _inst_2))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] [_inst_2 : Nontrivial.{u1} α] {t : Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))}, LE.le.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Subtype.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1))) (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))))) t (OfNat.ofNat.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) (Set.Ioc.one.{u1} α _inst_1 _inst_2)))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.le_one Set.Ioc.le_oneₓ'. -/
@@ -694,7 +694,7 @@ namespace Set.Ioo
 
 /- warning: set.Ioo.pos -> Set.Ioo.pos is a dubious translation:
 lean 3 declaration is
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+  forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))))), LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α 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(Set.hasMem.{u1} α) x (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} α (NonAssocSemiring.toAddCommMonoidWithOne.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))))))))))) x)
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))), LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) x)
 Case conversion may be inaccurate. Consider using '#align set.Ioo.pos Set.Ioo.posₓ'. -/
@@ -704,7 +704,7 @@ theorem pos (x : Ioo (0 : α) 1) : 0 < (x : α) :=
 
 /- warning: set.Ioo.lt_one -> Set.Ioo.lt_one is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : StrictOrderedSemiring.{u1} α] (x : Set.Elem.{u1} α (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))), LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1))) (Subtype.val.{succ u1} α (fun (x : α) => Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) x (Set.Ioo.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α _inst_1)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1)))))) x) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α _inst_1))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.lt_one Set.Ioo.lt_oneₓ'. -/
@@ -781,7 +781,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0
 
 /- warning: set.Ioo.one_minus_pos -> Set.Ioo.one_minus_pos is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_pos Set.Ioo.one_minus_posₓ'. -/
@@ -790,7 +790,7 @@ theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using
 
 /- warning: set.Ioo.one_minus_lt_one -> Set.Ioo.one_minus_lt_one is a dubious translation:
 lean 3 declaration is
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+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))), LT.lt.{u1} β (Preorder.toHasLt.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β 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(NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeSubtype.{succ u1} β (fun (x : β) => Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))))))) x)) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_oneₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

@@ -287,7 +287,7 @@ instance commMonoidWithZero {α : Type _} [OrderedCommSemiring α] :
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α _inst_2))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))], CancelMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2)))) (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2))))], CancelMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2)))))))
+  forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2)))) (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2))))], CancelMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.cancel_monoid_with_zero Set.Icc.cancelMonoidWithZeroₓ'. -/
 instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α] :
     CancelMonoidWithZero (Icc (0 : α) 1) :=
@@ -299,7 +299,7 @@ instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α]
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))], CancelCommMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))))) (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2))))], CancelCommMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))))))))
+  forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))))) (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2))))], CancelCommMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedCommSemiring.toOrderedSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.cancel_comm_monoid_with_zero Set.Icc.cancelCommMonoidWithZeroₓ'. -/
 instance cancelCommMonoidWithZero {α : Type _} [OrderedCommRing α] [NoZeroDivisors α] :
     CancelCommMonoidWithZero (Icc (0 : α) 1) :=
@@ -313,7 +313,7 @@ variable {β : Type _} [OrderedRing β]
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_mem Set.Icc.one_sub_memₓ'. -/
 theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 :=
   by
@@ -325,7 +325,7 @@ theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.mem_iff_one_sub_mem Set.Icc.mem_iff_one_sub_memₓ'. -/
 theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
@@ -335,7 +335,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β 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(AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))))))) x))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) x))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonnegₓ'. -/
 theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa using x.2.2
 #align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonneg
@@ -344,7 +344,7 @@ theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa usi
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2)))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeSubtype.{succ u1} β (fun (x : β) => Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))))))) x)) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_le_one Set.Icc.one_sub_le_oneₓ'. -/
 theorem one_sub_le_one (x : Icc (0 : β) 1) : 1 - (x : β) ≤ 1 := by simpa using x.2.1
 #align set.Icc.one_sub_le_one Set.Icc.one_sub_le_one
@@ -662,7 +662,7 @@ instance commMonoid {α : Type _} [StrictOrderedCommSemiring α] [Nontrivial α]
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))], CancelMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2))], CancelMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2)))))))
+  forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2))], CancelMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.cancel_monoid Set.Ioc.cancelMonoidₓ'. -/
 instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
     CancelMonoid (Ioc (0 : α) 1) :=
@@ -678,7 +678,7 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))], CancelCommMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedCommSemiring.toStrictOrderedSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)))], CancelCommMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} α (IsDomain.toCancelCommMonoidWithZero.{u1} α (StrictOrderedCommSemiring.toCommSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)) _inst_3))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2))))))))
+  forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedCommSemiring.toStrictOrderedSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)))], CancelCommMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} α (IsDomain.toCancelCommMonoidWithZero.{u1} α (StrictOrderedCommSemiring.toCommSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)) _inst_3))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedCommSemiring.toStrictOrderedSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.cancel_comm_monoid Set.Ioc.cancelCommMonoidₓ'. -/
 instance cancelCommMonoid {α : Type _} [StrictOrderedCommRing α] [IsDomain α] :
     CancelCommMonoid (Ioc (0 : α) 1) :=
@@ -760,7 +760,7 @@ variable {β : Type _} [OrderedRing β]
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_sub_mem Set.Ioo.one_sub_memₓ'. -/
 theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β) 1 :=
   by
@@ -773,7 +773,7 @@ theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.mem_iff_one_sub_mem Set.Ioo.mem_iff_one_sub_memₓ'. -/
 theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0 : β) 1 :=
   ⟨one_sub_mem, fun h => sub_sub_cancel 1 t ▸ one_sub_mem h⟩
@@ -783,7 +783,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0
 lean 3 declaration is
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2)))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, 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 but is expected to have type
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+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_pos Set.Ioo.one_minus_posₓ'. -/
 theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using x.2.2
 #align set.Ioo.one_minus_pos Set.Ioo.one_minus_pos
@@ -792,7 +792,7 @@ theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using
 lean 3 declaration is
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 but is expected to have type
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (Semiring.toOne.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_oneₓ'. -/
 theorem one_minus_lt_one (x : Ioo (0 : β) 1) : 1 - (x : β) < 1 := by simpa using x.2.1
 #align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_one

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

@@ -285,7 +285,7 @@ instance commMonoidWithZero {α : Type _} [OrderedCommSemiring α] :
 
 /- warning: set.Icc.cancel_monoid_with_zero -> Set.Icc.cancelMonoidWithZero is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α _inst_2))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))], CancelMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))))
+  forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α _inst_2))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))], CancelMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (OrderedRing.toRing.{u1} α _inst_2))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_2 : OrderedRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2)))) (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2))))], CancelMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (OrderedSemiring.toSemiring.{u1} α (OrderedRing.toOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.cancel_monoid_with_zero Set.Icc.cancelMonoidWithZeroₓ'. -/
@@ -297,7 +297,7 @@ instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α]
 
 /- warning: set.Icc.cancel_comm_monoid_with_zero -> Set.Icc.cancelCommMonoidWithZero is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))], CancelCommMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))))
+  forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))], CancelCommMonoidWithZero.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (OrderedRing.toOrderedAddCommGroup.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2)))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_2 : OrderedCommRing.{u1} α] [_inst_3 : NoZeroDivisors.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))))) (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2))))], CancelCommMonoidWithZero.{u1} (Set.Elem.{u1} α (Set.Icc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedRing.toPartialOrder.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommSemiring.toCommMonoidWithZero.{u1} α (OrderedCommSemiring.toCommSemiring.{u1} α (OrderedCommRing.toOrderedCommSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (OrderedRing.toRing.{u1} α (OrderedCommRing.toOrderedRing.{u1} α _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.cancel_comm_monoid_with_zero Set.Icc.cancelCommMonoidWithZeroₓ'. -/
@@ -311,7 +311,7 @@ variable {β : Type _} [OrderedRing β]
 
 /- warning: set.Icc.one_sub_mem -> Set.Icc.one_sub_mem is a dubious translation:
 lean 3 declaration is
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_mem Set.Icc.one_sub_memₓ'. -/
@@ -323,7 +323,7 @@ theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β
 
 /- warning: set.Icc.mem_iff_one_sub_mem -> Set.Icc.mem_iff_one_sub_mem is a dubious translation:
 lean 3 declaration is
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.mem_iff_one_sub_mem Set.Icc.mem_iff_one_sub_memₓ'. -/
@@ -333,7 +333,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Icc (0 : β) 1 ↔ 1 - t ∈ Icc (0
 
 /- warning: set.Icc.one_sub_nonneg -> Set.Icc.one_sub_nonneg is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_nonneg Set.Icc.one_sub_nonnegₓ'. -/
@@ -342,7 +342,7 @@ theorem one_sub_nonneg (x : Icc (0 : β) 1) : 0 ≤ 1 - (x : β) := by simpa usi
 
 /- warning: set.Icc.one_sub_le_one -> Set.Icc.one_sub_le_one is a dubious translation:
 lean 3 declaration is
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(AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeSubtype.{succ u1} β (fun (x : β) => Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))))))) x)) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))), LE.le.{u1} β (Preorder.toLE.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Icc.one_sub_le_one Set.Icc.one_sub_le_oneₓ'. -/
@@ -660,7 +660,7 @@ instance commMonoid {α : Type _} [StrictOrderedCommSemiring α] [Nontrivial α]
 
 /- warning: set.Ioc.cancel_monoid -> Set.Ioc.cancelMonoid is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))], CancelMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))))
+  forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))], CancelMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_2 : StrictOrderedRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2))], CancelMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α _inst_2)) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (MonoidWithZero.toZero.{u1} α (Semiring.toMonoidWithZero.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedRing.toStrictOrderedSemiring.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.cancel_monoid Set.Ioc.cancelMonoidₓ'. -/
@@ -676,7 +676,7 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
 
 /- warning: set.Ioc.cancel_comm_monoid -> Set.Ioc.cancelCommMonoid is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))], CancelCommMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))))
+  forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (Ring.toSemiring.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))], CancelCommMonoid.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} α) Type.{u1} (Set.hasCoeToSort.{u1} α) (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2)))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_2 : StrictOrderedCommRing.{u1} α] [_inst_3 : IsDomain.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (StrictOrderedCommSemiring.toStrictOrderedSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)))], CancelCommMonoid.{u1} (Set.Elem.{u1} α (Set.Ioc.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} α (IsDomain.toCancelCommMonoidWithZero.{u1} α (StrictOrderedCommSemiring.toCommSemiring.{u1} α (StrictOrderedCommRing.toStrictOrderedCommSemiring.{u1} α _inst_2)) _inst_3))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (StrictOrderedCommRing.toStrictOrderedRing.{u1} α _inst_2))))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioc.cancel_comm_monoid Set.Ioc.cancelCommMonoidₓ'. -/
@@ -758,7 +758,7 @@ variable {β : Type _} [OrderedRing β]
 
 /- warning: set.Ioo.one_sub_mem -> Set.Ioo.one_sub_mem is a dubious translation:
 lean 3 declaration is
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) -> (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) -> (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_sub_mem Set.Ioo.one_sub_memₓ'. -/
@@ -771,7 +771,7 @@ theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β
 
 /- warning: set.Ioo.mem_iff_one_sub_mem -> Set.Ioo.mem_iff_one_sub_mem is a dubious translation:
 lean 3 declaration is
-  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) (Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] {t : β}, Iff (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) t (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) t) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.mem_iff_one_sub_mem Set.Ioo.mem_iff_one_sub_memₓ'. -/
@@ -781,7 +781,7 @@ theorem mem_iff_one_sub_mem {t : β} : t ∈ Ioo (0 : β) 1 ↔ 1 - t ∈ Ioo (0
 
 /- warning: set.Ioo.one_minus_pos -> Set.Ioo.one_minus_pos is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_pos Set.Ioo.one_minus_posₓ'. -/
@@ -790,7 +790,7 @@ theorem one_minus_pos (x : Ioo (0 : β) 1) : 0 < 1 - (x : β) := by simpa using
 
 /- warning: set.Ioo.one_minus_lt_one -> Set.Ioo.one_minus_lt_one is a dubious translation:
 lean 3 declaration is
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+  forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2)))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (SubNegMonoid.toHasSub.{u1} β (AddGroup.toSubNegMonoid.{u1} β (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} β) Type.{u1} (Set.hasCoeToSort.{u1} β) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))) β (coeSubtype.{succ u1} β (fun (x : β) => Membership.Mem.{u1, u1} β (Set.{u1} β) (Set.hasMem.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedAddCommGroup.toPartialOrder.{u1} β (OrderedRing.toOrderedAddCommGroup.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 0 (OfNat.mk.{u1} β 0 (Zero.zero.{u1} β (MulZeroClass.toHasZero.{u1} β (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} β (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))))))))))) x)) (OfNat.ofNat.{u1} β 1 (OfNat.mk.{u1} β 1 (One.one.{u1} β (AddMonoidWithOne.toOne.{u1} β (AddGroupWithOne.toAddMonoidWithOne.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))))
 but is expected to have type
   forall {β : Type.{u1}} [_inst_2 : OrderedRing.{u1} β] (x : Set.Elem.{u1} β (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))), LT.lt.{u1} β (Preorder.toLT.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2))) (HSub.hSub.{u1, u1, u1} β β β (instHSub.{u1} β (Ring.toSub.{u1} β (OrderedRing.toRing.{u1} β _inst_2))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))) (Subtype.val.{succ u1} β (fun (x : β) => Membership.mem.{u1, u1} β (Set.{u1} β) (Set.instMembershipSet.{u1} β) x (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedRing.toPartialOrder.{u1} β _inst_2)) (OfNat.ofNat.{u1} β 0 (Zero.toOfNat0.{u1} β (MonoidWithZero.toZero.{u1} β (Semiring.toMonoidWithZero.{u1} β (OrderedSemiring.toSemiring.{u1} β (OrderedRing.toOrderedSemiring.{u1} β _inst_2)))))) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2))))))) x)) (OfNat.ofNat.{u1} β 1 (One.toOfNat1.{u1} β (NonAssocRing.toOne.{u1} β (Ring.toNonAssocRing.{u1} β (OrderedRing.toRing.{u1} β _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align set.Ioo.one_minus_lt_one Set.Ioo.one_minus_lt_oneₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Move Set.Ixx, Finset.Ixx, Multiset.Ixx together under two different folders:

• Order.Interval for their definition and basic properties
• Algebra.Order.Interval for their algebraic properties

Move the definitions of Multiset.Ixx to what is now Order.Interval.Multiset. I believe we could just delete this file in a later PR as nothing uses it (and I already had doubts when defining Multiset.Ixx three years ago).

Move the algebraic results out of what is now Order.Interval.Finset.Basic to a new file Algebra.Order.Interval.Finset.Basic.

@@ -5,7 +5,7 @@ Authors: Stuart Presnell, Eric Wieser, Yaël Dillies, Patrick Massot, Scott Morr
 -/
 import Mathlib.Algebra.GroupPower.Order
 import Mathlib.Algebra.Ring.Regular
-import Mathlib.Data.Set.Intervals.Basic
+import Mathlib.Order.Interval.Set.Basic
 
 #align_import data.set.intervals.instances from "leanprover-community/mathlib"@"d012cd09a9b256d870751284dd6a29882b0be105"
 

These lemmas can be proved earlier.

Part of #9411

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -5,6 +5,7 @@ Authors: Stuart Presnell, Eric Wieser, Yaël Dillies, Patrick Massot, Scott Morr
 -/
 import Mathlib.Algebra.GroupPower.Order
 import Mathlib.Algebra.Ring.Regular
+import Mathlib.Data.Set.Intervals.Basic
 
 #align_import data.set.intervals.instances from "leanprover-community/mathlib"@"d012cd09a9b256d870751284dd6a29882b0be105"
 

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -37,7 +37,7 @@ The strongest typeclass provided on each interval is:
 
 open Set
 
-variable {α : Type _}
+variable {α : Type*}
 
 section OrderedSemiring
 
@@ -142,24 +142,24 @@ instance monoidWithZero : MonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.monoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.monoid_with_zero Set.Icc.monoidWithZero
 
-instance commMonoidWithZero {α : Type _} [OrderedCommSemiring α] :
+instance commMonoidWithZero {α : Type*} [OrderedCommSemiring α] :
     CommMonoidWithZero (Icc (0 : α) 1) :=
   Subtype.coe_injective.commMonoidWithZero _ coe_zero coe_one coe_mul coe_pow
 #align set.Icc.comm_monoid_with_zero Set.Icc.commMonoidWithZero
 
-instance cancelMonoidWithZero {α : Type _} [OrderedRing α] [NoZeroDivisors α] :
+instance cancelMonoidWithZero {α : Type*} [OrderedRing α] [NoZeroDivisors α] :
     CancelMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelMonoidWithZero α _ NoZeroDivisors.toCancelMonoidWithZero _ _ _ _
     (fun v => v.val) Subtype.coe_injective coe_zero coe_one coe_mul coe_pow
 #align set.Icc.cancel_monoid_with_zero Set.Icc.cancelMonoidWithZero
 
-instance cancelCommMonoidWithZero {α : Type _} [OrderedCommRing α] [NoZeroDivisors α] :
+instance cancelCommMonoidWithZero {α : Type*} [OrderedCommRing α] [NoZeroDivisors α] :
     CancelCommMonoidWithZero (Icc (0 : α) 1) :=
   @Function.Injective.cancelCommMonoidWithZero α _ NoZeroDivisors.toCancelCommMonoidWithZero _ _ _ _
     (fun v => v.val) Subtype.coe_injective coe_zero coe_one coe_mul coe_pow
 #align set.Icc.cancel_comm_monoid_with_zero Set.Icc.cancelCommMonoidWithZero
 
-variable {β : Type _} [OrderedRing β]
+variable {β : Type*} [OrderedRing β]
 
 theorem one_sub_mem {t : β} (ht : t ∈ Icc (0 : β) 1) : 1 - t ∈ Icc (0 : β) 1 := by
   rw [mem_Icc] at *
@@ -233,7 +233,7 @@ instance semigroup : Semigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.semigroup _ coe_mul
 #align set.Ico.semigroup Set.Ico.semigroup
 
-instance commSemigroup {α : Type _} [OrderedCommSemiring α] : CommSemigroup (Ico (0 : α) 1) :=
+instance commSemigroup {α : Type*} [OrderedCommSemiring α] : CommSemigroup (Ico (0 : α) 1) :=
   Subtype.coe_injective.commSemigroup _ coe_mul
 #align set.Ico.comm_semigroup Set.Ico.commSemigroup
 
@@ -310,16 +310,16 @@ instance monoid [Nontrivial α] : Monoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.monoid _ coe_one coe_mul coe_pow
 #align set.Ioc.monoid Set.Ioc.monoid
 
-instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioc (0 : α) 1) :=
+instance commSemigroup {α : Type*} [StrictOrderedCommSemiring α] : CommSemigroup (Ioc (0 : α) 1) :=
   Subtype.coe_injective.commSemigroup _ coe_mul
 #align set.Ioc.comm_semigroup Set.Ioc.commSemigroup
 
-instance commMonoid {α : Type _} [StrictOrderedCommSemiring α] [Nontrivial α] :
+instance commMonoid {α : Type*} [StrictOrderedCommSemiring α] [Nontrivial α] :
     CommMonoid (Ioc (0 : α) 1) :=
   Subtype.coe_injective.commMonoid _ coe_one coe_mul coe_pow
 #align set.Ioc.comm_monoid Set.Ioc.commMonoid
 
-instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
+instance cancelMonoid {α : Type*} [StrictOrderedRing α] [IsDomain α] :
     CancelMonoid (Ioc (0 : α) 1) :=
   { Set.Ioc.monoid with
     mul_left_cancel := fun a _ _ h =>
@@ -328,7 +328,7 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
       Subtype.ext <| mul_right_cancel₀ b.prop.1.ne' <| (congr_arg Subtype.val h : _) }
 #align set.Ioc.cancel_monoid Set.Ioc.cancelMonoid
 
-instance cancelCommMonoid {α : Type _} [StrictOrderedCommRing α] [IsDomain α] :
+instance cancelCommMonoid {α : Type*} [StrictOrderedCommRing α] [IsDomain α] :
     CancelCommMonoid (Ioc (0 : α) 1) :=
   { Set.Ioc.cancelMonoid, Set.Ioc.commMonoid with }
 #align set.Ioc.cancel_comm_monoid Set.Ioc.cancelCommMonoid
@@ -362,11 +362,11 @@ instance semigroup : Semigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.semigroup _ coe_mul
 #align set.Ioo.semigroup Set.Ioo.semigroup
 
-instance commSemigroup {α : Type _} [StrictOrderedCommSemiring α] : CommSemigroup (Ioo (0 : α) 1) :=
+instance commSemigroup {α : Type*} [StrictOrderedCommSemiring α] : CommSemigroup (Ioo (0 : α) 1) :=
   Subtype.coe_injective.commSemigroup _ coe_mul
 #align set.Ioo.comm_semigroup Set.Ioo.commSemigroup
 
-variable {β : Type _} [OrderedRing β]
+variable {β : Type*} [OrderedRing β]
 
 theorem one_sub_mem {t : β} (ht : t ∈ Ioo (0 : β) 1) : 1 - t ∈ Ioo (0 : β) 1 := by
   rw [mem_Ioo] at *

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,14 +2,12 @@
 Copyright (c) 2022 Stuart Presnell. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Stuart Presnell, Eric Wieser, Yaël Dillies, Patrick Massot, Scott Morrison
-! This file was ported from Lean 3 source module data.set.intervals.instances
-! leanprover-community/mathlib commit d012cd09a9b256d870751284dd6a29882b0be105
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.GroupPower.Order
 import Mathlib.Algebra.Ring.Regular
 
+#align_import data.set.intervals.instances from "leanprover-community/mathlib"@"d012cd09a9b256d870751284dd6a29882b0be105"
+
 /-!
 # Algebraic instances for unit intervals
 

• Run a non-interactive version of fix-comments.py on all files.
• Go through the diff and manually add/discard/edit chunks.

@@ -245,7 +245,7 @@ end OrderedSemiring
 
 variable [StrictOrderedSemiring α]
 
-/-! ### Instances for `↥(set.Ioc 0 1)` -/
+/-! ### Instances for `↥(Set.Ioc 0 1)` -/
 
 
 namespace Set.Ioc

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -330,8 +330,6 @@ instance cancelMonoid {α : Type _} [StrictOrderedRing α] [IsDomain α] :
       Subtype.ext <| mul_right_cancel₀ b.prop.1.ne' <| (congr_arg Subtype.val h : _) }
 #align set.Ioc.cancel_monoid Set.Ioc.cancelMonoid
 
--- Porting note: This takes too long
-set_option maxHeartbeats 0 in
 instance cancelCommMonoid {α : Type _} [StrictOrderedCommRing α] [IsDomain α] :
     CancelCommMonoid (Ioc (0 : α) 1) :=
   { Set.Ioc.cancelMonoid, Set.Ioc.commMonoid with }

This PR fixes two things:

• Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
• All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

@@ -134,7 +134,6 @@ theorem coe_pow (x : Icc (0 : α) 1) (n : ℕ) : ↑(x ^ n) = ((x : α) ^ n) :=
 
 theorem mul_le_left {x y : Icc (0 : α) 1} : x * y ≤ x :=
   (mul_le_mul_of_nonneg_left y.2.2 x.2.1).trans_eq (mul_one _)
-
 #align set.Icc.mul_le_left Set.Icc.mul_le_left
 
 theorem mul_le_right {x y : Icc (0 : α) 1} : x * y ≤ y :=

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: qawbecrdtey <qawbecrdtey@kaist.ac.kr> Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Johan Commelin <johan@commelin.net>