analysis.normed.field.unit_ball | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

3339976e

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

10bf4f82

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Heather Macbeth
 -/
-import Mathbin.Analysis.Normed.Field.Basic
-import Mathbin.Analysis.Normed.Group.BallSphere
+import Analysis.Normed.Field.Basic
+import Analysis.Normed.Group.BallSphere
 
 #align_import analysis.normed.field.unit_ball from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"

10bf4f82

bump to nightly-2023-08-17-09

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

60285dcc

Diff

@@ -30,7 +30,7 @@ variable {𝕜 : Type _}
 def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := ball (0 : 𝕜) 1
-  mul_mem' x y hx hy := by
+  hMul_mem' x y hx hy := by
     rw [mem_ball_zero_iff] at *
     exact (norm_mul_le x y).trans_lt (mul_lt_one_of_nonneg_of_lt_one_left (norm_nonneg _) hx hy.le)
 #align subsemigroup.unit_ball Subsemigroup.unitBall
@@ -61,7 +61,7 @@ theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1
 def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := closedBall 0 1
-  mul_mem' x y hx hy := by
+  hMul_mem' x y hx hy := by
     rw [mem_closedBall_zero_iff] at *
     exact (norm_mul_le x y).trans (mul_le_one hx (norm_nonneg _) hy)
 #align subsemigroup.unit_closed_ball Subsemigroup.unitClosedBall
@@ -120,7 +120,7 @@ theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : cl
 def Submonoid.unitSphere (𝕜 : Type _) [NormedDivisionRing 𝕜] : Submonoid 𝕜
     where
   carrier := sphere (0 : 𝕜) 1
-  mul_mem' x y hx hy := by rw [mem_sphere_zero_iff_norm] at *; simp [*]
+  hMul_mem' x y hx hy := by rw [mem_sphere_zero_iff_norm] at *; simp [*]
   one_mem' := mem_sphere_zero_iff_norm.2 norm_one
 #align submonoid.unit_sphere Submonoid.unitSphere
 -/

10bf4f82

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Heather Macbeth
-
-! This file was ported from Lean 3 source module analysis.normed.field.unit_ball
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Normed.Field.Basic
 import Mathbin.Analysis.Normed.Group.BallSphere
 
+#align_import analysis.normed.field.unit_ball from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Algebraic structures on unit balls and spheres

10bf4f82

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -28,6 +28,7 @@ open Set Metric
 
 variable {𝕜 : Type _}
 
+#print Subsemigroup.unitBall /-
 /-- Unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -36,6 +37,7 @@ def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subse
     rw [mem_ball_zero_iff] at *
     exact (norm_mul_le x y).trans_lt (mul_lt_one_of_nonneg_of_lt_one_left (norm_nonneg _) hx hy.le)
 #align subsemigroup.unit_ball Subsemigroup.unitBall
+-/
 
 instance [NonUnitalSeminormedRing 𝕜] : Semigroup (ball (0 : 𝕜) 1) :=
   MulMemClass.toSemigroup (Subsemigroup.unitBall 𝕜)
@@ -49,12 +51,15 @@ instance [SeminormedCommRing 𝕜] : CommSemigroup (ball (0 : 𝕜) 1) :=
 instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : ball (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
+#print coe_mul_unitBall /-
 @[simp, norm_cast]
 theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_ball coe_mul_unitBall
+-/
 
+#print Subsemigroup.unitClosedBall /-
 /-- Closed unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -63,6 +68,7 @@ def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] :
     rw [mem_closedBall_zero_iff] at *
     exact (norm_mul_le x y).trans (mul_le_one hx (norm_nonneg _) hy)
 #align subsemigroup.unit_closed_ball Subsemigroup.unitClosedBall
+-/
 
 instance [NonUnitalSeminormedRing 𝕜] : Semigroup (closedBall (0 : 𝕜) 1) :=
   MulMemClass.toSemigroup (Subsemigroup.unitClosedBall 𝕜)
@@ -73,18 +79,22 @@ instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (closedBall (0 : 𝕜) 1
 instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1) :=
   (Subsemigroup.unitClosedBall 𝕜).ContinuousMul
 
+#print coe_mul_unitClosedBall /-
 @[simp, norm_cast]
 theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_closed_ball coe_mul_unitClosedBall
+-/
 
+#print Submonoid.unitClosedBall /-
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
 def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
     carrier := closedBall 0 1
     one_mem' := mem_closedBall_zero_iff.2 norm_one.le }
 #align submonoid.unit_closed_ball Submonoid.unitClosedBall
+-/
 
 instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitClosedBall 𝕜)
@@ -92,17 +102,21 @@ instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 
 instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toCommMonoid (Submonoid.unitClosedBall 𝕜)
 
+#print coe_one_unitClosedBall /-
 @[simp, norm_cast]
 theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
     ((1 : closedBall (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
 #align coe_one_unit_closed_ball coe_one_unitClosedBall
+-/
 
+#print coe_pow_unitClosedBall /-
 @[simp, norm_cast]
 theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
     (n : ℕ) : ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
 #align coe_pow_unit_closed_ball coe_pow_unitClosedBall
+-/
 
 #print Submonoid.unitSphere /-
 /-- Unit sphere in a normed division ring as a bundled `submonoid`. -/
@@ -120,10 +134,12 @@ instance [NormedDivisionRing 𝕜] : Inv (sphere (0 : 𝕜) 1) :=
       mem_sphere_zero_iff_norm.2 <| by
         rw [norm_inv, mem_sphere_zero_iff_norm.1 x.coe_prop, inv_one]⟩⟩
 
+#print coe_inv_unitSphere /-
 @[simp, norm_cast]
 theorem coe_inv_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) : ↑x⁻¹ = (x⁻¹ : 𝕜) :=
   rfl
 #align coe_inv_unit_sphere coe_inv_unitSphere
+-/
 
 instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
   ⟨fun x y =>
@@ -132,59 +148,75 @@ instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
         rw [norm_div, mem_sphere_zero_iff_norm.1 x.coe_prop, mem_sphere_zero_iff_norm.1 y.coe_prop,
           div_one]⟩⟩
 
+#print coe_div_unitSphere /-
 @[simp, norm_cast]
 theorem coe_div_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x / y) = (x / y : 𝕜) :=
   rfl
 #align coe_div_unit_sphere coe_div_unitSphere
+-/
 
 instance [NormedDivisionRing 𝕜] : Pow (sphere (0 : 𝕜) 1) ℤ :=
   ⟨fun x n =>
     ⟨x ^ n, by
       rw [mem_sphere_zero_iff_norm, norm_zpow, mem_sphere_zero_iff_norm.1 x.coe_prop, one_zpow]⟩⟩
 
+#print coe_zpow_unitSphere /-
 @[simp, norm_cast]
 theorem coe_zpow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℤ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
 #align coe_zpow_unit_sphere coe_zpow_unitSphere
+-/
 
 instance [NormedDivisionRing 𝕜] : Monoid (sphere (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitSphere 𝕜)
 
+#print coe_one_unitSphere /-
 @[simp, norm_cast]
 theorem coe_one_unitSphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
 #align coe_one_unit_sphere coe_one_unitSphere
+-/
 
+#print coe_mul_unitSphere /-
 @[simp, norm_cast]
 theorem coe_mul_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_sphere coe_mul_unitSphere
+-/
 
+#print coe_pow_unitSphere /-
 @[simp, norm_cast]
 theorem coe_pow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℕ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
 #align coe_pow_unit_sphere coe_pow_unitSphere
+-/
 
+#print unitSphereToUnits /-
 /-- Monoid homomorphism from the unit sphere to the group of units. -/
 def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 𝕜) 1 →* Units 𝕜 :=
   Units.liftRight (Submonoid.unitSphere 𝕜).Subtype
     (fun x => Units.mk0 x <| ne_zero_of_mem_unit_sphere _) fun x => rfl
 #align unit_sphere_to_units unitSphereToUnits
+-/
 
+#print unitSphereToUnits_apply_coe /-
 @[simp]
 theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) :
     (unitSphereToUnits 𝕜 x : 𝕜) = x :=
   rfl
 #align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coe
+-/
 
+#print unitSphereToUnits_injective /-
 theorem unitSphereToUnits_injective [NormedDivisionRing 𝕜] :
     Function.Injective (unitSphereToUnits 𝕜) := fun x y h =>
   Subtype.eq <| by convert congr_arg Units.val h
 #align unit_sphere_to_units_injective unitSphereToUnits_injective
+-/
 
 instance [NormedDivisionRing 𝕜] : Group (sphere (0 : 𝕜) 1) :=
   unitSphereToUnits_injective.Group (unitSphereToUnits 𝕜) (Units.ext rfl) (fun x y => Units.ext rfl)

10bf4f82

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -28,12 +28,6 @@ open Set Metric
 
 variable {𝕜 : Type _}
 
-/- warning: subsemigroup.unit_ball -> Subsemigroup.unitBall is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))
-Case conversion may be inaccurate. Consider using '#align subsemigroup.unit_ball Subsemigroup.unitBallₓ'. -/
 /-- Unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -55,21 +49,12 @@ instance [SeminormedCommRing 𝕜] : CommSemigroup (ball (0 : 𝕜) 1) :=
 instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : ball (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
-/- warning: coe_mul_unit_ball -> coe_mul_unitBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_mul_unit_ball coe_mul_unitBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_ball coe_mul_unitBall
 
-/- warning: subsemigroup.unit_closed_ball -> Subsemigroup.unitClosedBall is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))
-Case conversion may be inaccurate. Consider using '#align subsemigroup.unit_closed_ball Subsemigroup.unitClosedBallₓ'. -/
 /-- Closed unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -88,21 +73,12 @@ instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (closedBall (0 : 𝕜) 1
 instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1) :=
   (Subsemigroup.unitClosedBall 𝕜).ContinuousMul
 
-/- warning: coe_mul_unit_closed_ball -> coe_mul_unitClosedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_mul_unit_closed_ball coe_mul_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_closed_ball coe_mul_unitClosedBall
 
-/- warning: submonoid.unit_closed_ball -> Submonoid.unitClosedBall is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align submonoid.unit_closed_ball Submonoid.unitClosedBallₓ'. -/
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
 def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
@@ -116,21 +92,12 @@ instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 
 instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toCommMonoid (Submonoid.unitClosedBall 𝕜)
 
-/- warning: coe_one_unit_closed_ball -> coe_one_unitClosedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
-Case conversion may be inaccurate. Consider using '#align coe_one_unit_closed_ball coe_one_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
     ((1 : closedBall (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
 #align coe_one_unit_closed_ball coe_one_unitClosedBall
 
-/- warning: coe_pow_unit_closed_ball -> coe_pow_unitClosedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_pow_unit_closed_ball coe_pow_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
     (n : ℕ) : ↑(x ^ n) = (x ^ n : 𝕜) :=
@@ -153,9 +120,6 @@ instance [NormedDivisionRing 𝕜] : Inv (sphere (0 : 𝕜) 1) :=
       mem_sphere_zero_iff_norm.2 <| by
         rw [norm_inv, mem_sphere_zero_iff_norm.1 x.coe_prop, inv_one]⟩⟩
 
-/- warning: coe_inv_unit_sphere -> coe_inv_unitSphere is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_inv_unit_sphere coe_inv_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_inv_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) : ↑x⁻¹ = (x⁻¹ : 𝕜) :=
   rfl
@@ -168,9 +132,6 @@ instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
         rw [norm_div, mem_sphere_zero_iff_norm.1 x.coe_prop, mem_sphere_zero_iff_norm.1 y.coe_prop,
           div_one]⟩⟩
 
-/- warning: coe_div_unit_sphere -> coe_div_unitSphere is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_div_unit_sphere coe_div_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_div_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x / y) = (x / y : 𝕜) :=
@@ -182,9 +143,6 @@ instance [NormedDivisionRing 𝕜] : Pow (sphere (0 : 𝕜) 1) ℤ :=
     ⟨x ^ n, by
       rw [mem_sphere_zero_iff_norm, norm_zpow, mem_sphere_zero_iff_norm.1 x.coe_prop, one_zpow]⟩⟩
 
-/- warning: coe_zpow_unit_sphere -> coe_zpow_unitSphere is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_zpow_unit_sphere coe_zpow_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_zpow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℤ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
@@ -194,59 +152,35 @@ theorem coe_zpow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1)
 instance [NormedDivisionRing 𝕜] : Monoid (sphere (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitSphere 𝕜)
 
-/- warning: coe_one_unit_sphere -> coe_one_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align coe_one_unit_sphere coe_one_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_one_unitSphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
 #align coe_one_unit_sphere coe_one_unitSphere
 
-/- warning: coe_mul_unit_sphere -> coe_mul_unitSphere is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_mul_unit_sphere coe_mul_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_sphere coe_mul_unitSphere
 
-/- warning: coe_pow_unit_sphere -> coe_pow_unitSphere is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_pow_unit_sphere coe_pow_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℕ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
 #align coe_pow_unit_sphere coe_pow_unitSphere
 
-/- warning: unit_sphere_to_units -> unitSphereToUnits is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) [_inst_1 : NormedDivisionRing.{u1} 𝕜], MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) [_inst_1 : NormedDivisionRing.{u1} 𝕜], MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units unitSphereToUnitsₓ'. -/
 /-- Monoid homomorphism from the unit sphere to the group of units. -/
 def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 𝕜) 1 →* Units 𝕜 :=
   Units.liftRight (Submonoid.unitSphere 𝕜).Subtype
     (fun x => Units.mk0 x <| ne_zero_of_mem_unit_sphere _) fun x => rfl
 #align unit_sphere_to_units unitSphereToUnits
 
-/- warning: unit_sphere_to_units_apply_coe -> unitSphereToUnits_apply_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coeₓ'. -/
 @[simp]
 theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) :
     (unitSphereToUnits 𝕜 x : 𝕜) = x :=
   rfl
 #align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coe
 
-/- warning: unit_sphere_to_units_injective -> unitSphereToUnits_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_injective unitSphereToUnits_injectiveₓ'. -/
 theorem unitSphereToUnits_injective [NormedDivisionRing 𝕜] :
     Function.Injective (unitSphereToUnits 𝕜) := fun x y h =>
   Subtype.eq <| by convert congr_arg Units.val h

10bf4f82

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -142,9 +142,7 @@ theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : cl
 def Submonoid.unitSphere (𝕜 : Type _) [NormedDivisionRing 𝕜] : Submonoid 𝕜
     where
   carrier := sphere (0 : 𝕜) 1
-  mul_mem' x y hx hy := by
-    rw [mem_sphere_zero_iff_norm] at *
-    simp [*]
+  mul_mem' x y hx hy := by rw [mem_sphere_zero_iff_norm] at *; simp [*]
   one_mem' := mem_sphere_zero_iff_norm.2 norm_one
 #align submonoid.unit_sphere Submonoid.unitSphere
 -/

10bf4f82

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -56,10 +56,7 @@ instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : ball (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
 /- warning: coe_mul_unit_ball -> coe_mul_unitBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Semigroup.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.ball.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Semigroup.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_mul_unit_ball coe_mul_unitBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
@@ -92,10 +89,7 @@ instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1
   (Subsemigroup.unitClosedBall 𝕜).ContinuousMul
 
 /- warning: coe_mul_unit_closed_ball -> coe_mul_unitClosedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Semigroup.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Semigroup.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_mul_unit_closed_ball coe_mul_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
@@ -135,10 +129,7 @@ theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
 #align coe_one_unit_closed_ball coe_one_unitClosedBall
 
 /- warning: coe_pow_unit_closed_ball -> coe_pow_unitClosedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_pow_unit_closed_ball coe_pow_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
@@ -165,10 +156,7 @@ instance [NormedDivisionRing 𝕜] : Inv (sphere (0 : 𝕜) 1) :=
         rw [norm_inv, mem_sphere_zero_iff_norm.1 x.coe_prop, inv_one]⟩⟩
 
 /- warning: coe_inv_unit_sphere -> coe_inv_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (Inv.inv.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.hasInv.{u1} 𝕜 _inst_1) x)) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Inv.inv.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.inv.{u1} 𝕜 _inst_1) x)) (Inv.inv.{u1} 𝕜 (DivisionRing.toInv.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_inv_unit_sphere coe_inv_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_inv_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) : ↑x⁻¹ = (x⁻¹ : 𝕜) :=
@@ -183,10 +171,7 @@ instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
           div_one]⟩⟩
 
 /- warning: coe_div_unit_sphere -> coe_div_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HDiv.hDiv.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHDiv.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.hasDiv.{u1} 𝕜 _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HDiv.hDiv.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHDiv.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.div.{u1} 𝕜 _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivisionRing.toDiv.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_div_unit_sphere coe_div_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_div_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
@@ -200,10 +185,7 @@ instance [NormedDivisionRing 𝕜] : Pow (sphere (0 : 𝕜) 1) ℤ :=
       rw [mem_sphere_zero_iff_norm, norm_zpow, mem_sphere_zero_iff_norm.1 x.coe_prop, one_zpow]⟩⟩
 
 /- warning: coe_zpow_unit_sphere -> coe_zpow_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Int), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Int (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Int (Int.hasPow.{u1} 𝕜 _inst_1)) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Int 𝕜 (instHPow.{u1, 0} 𝕜 Int (DivInvMonoid.Pow.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Int), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Int (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Int (Metric.unitSphere.pow.{u1} 𝕜 _inst_1)) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Int 𝕜 (instHPow.{u1, 0} 𝕜 Int (DivInvMonoid.Pow.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_zpow_unit_sphere coe_zpow_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_zpow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℤ) :
@@ -226,10 +208,7 @@ theorem coe_one_unitSphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1
 #align coe_one_unit_sphere coe_one_unitSphere
 
 /- warning: coe_mul_unit_sphere -> coe_mul_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (MulOneClass.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_mul_unit_sphere coe_mul_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
@@ -238,10 +217,7 @@ theorem coe_mul_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1)
 #align coe_mul_unit_sphere coe_mul_unitSphere
 
 /- warning: coe_pow_unit_sphere -> coe_pow_unitSphere is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_pow_unit_sphere coe_pow_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℕ) :
@@ -262,10 +238,7 @@ def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 
 #align unit_sphere_to_units unitSphereToUnits
 
 /- warning: unit_sphere_to_units_apply_coe -> unitSphereToUnits_apply_coe is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (coeBase.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (Units.hasCoe.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Units.val.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coeₓ'. -/
 @[simp]
 theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) :
@@ -274,10 +247,7 @@ theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 
 #align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coe
 
 /- warning: unit_sphere_to_units_injective -> unitSphereToUnits_injective is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
+<too large>
 Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_injective unitSphereToUnits_injectiveₓ'. -/
 theorem unitSphereToUnits_injective [NormedDivisionRing 𝕜] :
     Function.Injective (unitSphereToUnits 𝕜) := fun x y h =>

10bf4f82

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -265,7 +265,7 @@ def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (coeBase.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (Units.hasCoe.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Units.val.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Units.val.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x)
 Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coeₓ'. -/
 @[simp]
 theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) :
@@ -277,7 +277,7 @@ theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
 Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_injective unitSphereToUnits_injectiveₓ'. -/
 theorem unitSphereToUnits_injective [NormedDivisionRing 𝕜] :
     Function.Injective (unitSphereToUnits 𝕜) := fun x y h =>

10bf4f82

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -107,7 +107,7 @@ theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align submonoid.unit_closed_ball Submonoid.unitClosedBallₓ'. -/
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
 def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
@@ -126,7 +126,7 @@ instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align coe_one_unit_closed_ball coe_one_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
@@ -138,7 +138,7 @@ theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (Semiring.toOne.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
 Case conversion may be inaccurate. Consider using '#align coe_pow_unit_closed_ball coe_pow_unitClosedBallₓ'. -/
 @[simp, norm_cast]
 theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
@@ -218,7 +218,7 @@ instance [NormedDivisionRing 𝕜] : Monoid (sphere (0 : 𝕜) 1) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align coe_one_unit_sphere coe_one_unitSphereₓ'. -/
 @[simp, norm_cast]
 theorem coe_one_unitSphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1) : 𝕜) = 1 :=

10bf4f82

bump to nightly-2023-03-27-02

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

0e4ebd8c

Diff

@@ -105,7 +105,7 @@ theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall
 
 /- warning: submonoid.unit_closed_ball -> Submonoid.unitClosedBall is a dubious translation:
 lean 3 declaration is
-  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 but is expected to have type
   forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align submonoid.unit_closed_ball Submonoid.unitClosedBallₓ'. -/
@@ -124,7 +124,7 @@ instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall
 
 /- warning: coe_one_unit_closed_ball -> coe_one_unitClosedBall is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align coe_one_unit_closed_ball coe_one_unitClosedBallₓ'. -/
@@ -136,7 +136,7 @@ theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
 
 /- warning: coe_pow_unit_closed_ball -> coe_pow_unitClosedBall is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
 but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
 Case conversion may be inaccurate. Consider using '#align coe_pow_unit_closed_ball coe_pow_unitClosedBallₓ'. -/
@@ -216,7 +216,7 @@ instance [NormedDivisionRing 𝕜] : Monoid (sphere (0 : 𝕜) 1) :=
 
 /- warning: coe_one_unit_sphere -> coe_one_unitSphere is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align coe_one_unit_sphere coe_one_unitSphereₓ'. -/

10bf4f82

bump to nightly-2023-03-24-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

6eace303

Diff

@@ -103,14 +103,18 @@ theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall
   rfl
 #align coe_mul_unit_closed_ball coe_mul_unitClosedBall
 
-#print Submonoid.unitClosedBall /-
+/- warning: submonoid.unit_closed_ball -> Submonoid.unitClosedBall is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Submonoid.{u1} 𝕜 (MulZeroOneClass.toMulOneClass.{u1} 𝕜 (NonAssocSemiring.toMulZeroOneClass.{u1} 𝕜 (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align submonoid.unit_closed_ball Submonoid.unitClosedBallₓ'. -/
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
 def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
     carrier := closedBall 0 1
     one_mem' := mem_closedBall_zero_iff.2 norm_one.le }
 #align submonoid.unit_closed_ball Submonoid.unitClosedBall
--/
 
 instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitClosedBall 𝕜)

10bf4f82

bump to nightly-2023-03-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

8ae28b0b

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Heather Macbeth
 
 ! This file was ported from Lean 3 source module analysis.normed.field.unit_ball
-! leanprover-community/mathlib commit 3339976e2bcae9f1c81e620836d1eb736e3c4700
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Analysis.Normed.Group.BallSphere
 /-!
 # Algebraic structures on unit balls and spheres
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define algebraic structures (`semigroup`, `comm_semigroup`, `monoid`, `comm_monoid`,
 `group`, `comm_group`) on `metric.ball (0 : 𝕜) 1`, `metric.closed_ball (0 : 𝕜) 1`, and
 `metric.sphere (0 : 𝕜) 1`. In each case we use the weakest possible typeclass assumption on `𝕜`,

3339976e

bump to nightly-2023-03-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2

d4b38a42

Diff

@@ -25,6 +25,12 @@ open Set Metric
 
 variable {𝕜 : Type _}
 
+/- warning: subsemigroup.unit_ball -> Subsemigroup.unitBall is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))
+Case conversion may be inaccurate. Consider using '#align subsemigroup.unit_ball Subsemigroup.unitBallₓ'. -/
 /-- Unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -46,12 +52,24 @@ instance [SeminormedCommRing 𝕜] : CommSemigroup (ball (0 : 𝕜) 1) :=
 instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : ball (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
+/- warning: coe_mul_unit_ball -> coe_mul_unitBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Semigroup.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.ball.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Semigroup.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.ball.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+Case conversion may be inaccurate. Consider using '#align coe_mul_unit_ball coe_mul_unitBallₓ'. -/
 @[simp, norm_cast]
-theorem coe_mul_unit_ball [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
+theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
-#align coe_mul_unit_ball coe_mul_unit_ball
-
+#align coe_mul_unit_ball coe_mul_unitBall
+
+/- warning: subsemigroup.unit_closed_ball -> Subsemigroup.unitClosedBall is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜], Subsemigroup.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))
+Case conversion may be inaccurate. Consider using '#align subsemigroup.unit_closed_ball Subsemigroup.unitClosedBallₓ'. -/
 /-- Closed unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
 def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
@@ -70,18 +88,26 @@ instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (closedBall (0 : 𝕜) 1
 instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1) :=
   (Subsemigroup.unitClosedBall 𝕜).ContinuousMul
 
+/- warning: coe_mul_unit_closed_ball -> coe_mul_unitClosedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Semigroup.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NonUnitalSeminormedRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Semigroup.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.semigroup.{u1} 𝕜 _inst_1))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonUnitalRing.toNonUnitalNonAssocRing.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (NonUnitalSeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (SemigroupWithZero.toZero.{u1} 𝕜 (NonUnitalSemiring.toSemigroupWithZero.{u1} 𝕜 (NonUnitalRing.toNonUnitalSemiring.{u1} 𝕜 (NonUnitalSeminormedRing.toNonUnitalRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+Case conversion may be inaccurate. Consider using '#align coe_mul_unit_closed_ball coe_mul_unitClosedBallₓ'. -/
 @[simp, norm_cast]
-theorem coe_mul_unit_closedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
+theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
-#align coe_mul_unit_closed_ball coe_mul_unit_closedBall
+#align coe_mul_unit_closed_ball coe_mul_unitClosedBall
 
+#print Submonoid.unitClosedBall /-
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
 def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
     carrier := closedBall 0 1
     one_mem' := mem_closedBall_zero_iff.2 norm_one.le }
 #align submonoid.unit_closed_ball Submonoid.unitClosedBall
+-/
 
 instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitClosedBall 𝕜)
@@ -89,18 +115,31 @@ instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 
 instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toCommMonoid (Submonoid.unitClosedBall 𝕜)
 
+/- warning: coe_one_unit_closed_ball -> coe_one_unitClosedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))) (One.one.{0} Real Real.hasOne))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))
+Case conversion may be inaccurate. Consider using '#align coe_one_unit_closed_ball coe_one_unitClosedBallₓ'. -/
 @[simp, norm_cast]
-theorem coe_one_unit_closedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
+theorem coe_one_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
     ((1 : closedBall (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
-#align coe_one_unit_closed_ball coe_one_unit_closedBall
-
+#align coe_one_unit_closed_ball coe_one_unitClosedBall
+
+/- warning: coe_pow_unit_closed_ball -> coe_pow_unitClosedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.closedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : NormOneClass.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))] (x : Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitClosedBall.monoid.{u1} 𝕜 _inst_1 _inst_2))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+Case conversion may be inaccurate. Consider using '#align coe_pow_unit_closed_ball coe_pow_unitClosedBallₓ'. -/
 @[simp, norm_cast]
-theorem coe_pow_unit_closedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
+theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
     (n : ℕ) : ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
-#align coe_pow_unit_closed_ball coe_pow_unit_closedBall
+#align coe_pow_unit_closed_ball coe_pow_unitClosedBall
 
+#print Submonoid.unitSphere /-
 /-- Unit sphere in a normed division ring as a bundled `submonoid`. -/
 def Submonoid.unitSphere (𝕜 : Type _) [NormedDivisionRing 𝕜] : Submonoid 𝕜
     where
@@ -110,6 +149,7 @@ def Submonoid.unitSphere (𝕜 : Type _) [NormedDivisionRing 𝕜] : Submonoid 
     simp [*]
   one_mem' := mem_sphere_zero_iff_norm.2 norm_one
 #align submonoid.unit_sphere Submonoid.unitSphere
+-/
 
 instance [NormedDivisionRing 𝕜] : Inv (sphere (0 : 𝕜) 1) :=
   ⟨fun x =>
@@ -117,10 +157,16 @@ instance [NormedDivisionRing 𝕜] : Inv (sphere (0 : 𝕜) 1) :=
       mem_sphere_zero_iff_norm.2 <| by
         rw [norm_inv, mem_sphere_zero_iff_norm.1 x.coe_prop, inv_one]⟩⟩
 
+/- warning: coe_inv_unit_sphere -> coe_inv_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (Inv.inv.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.hasInv.{u1} 𝕜 _inst_1) x)) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Inv.inv.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.inv.{u1} 𝕜 _inst_1) x)) (Inv.inv.{u1} 𝕜 (DivisionRing.toInv.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x))
+Case conversion may be inaccurate. Consider using '#align coe_inv_unit_sphere coe_inv_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_inv_unit_sphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) : ↑x⁻¹ = (x⁻¹ : 𝕜) :=
+theorem coe_inv_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) : ↑x⁻¹ = (x⁻¹ : 𝕜) :=
   rfl
-#align coe_inv_unit_sphere coe_inv_unit_sphere
+#align coe_inv_unit_sphere coe_inv_unitSphere
 
 instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
   ⟨fun x y =>
@@ -129,55 +175,103 @@ instance [NormedDivisionRing 𝕜] : Div (sphere (0 : 𝕜) 1) :=
         rw [norm_div, mem_sphere_zero_iff_norm.1 x.coe_prop, mem_sphere_zero_iff_norm.1 y.coe_prop,
           div_one]⟩⟩
 
+/- warning: coe_div_unit_sphere -> coe_div_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HDiv.hDiv.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHDiv.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.hasDiv.{u1} 𝕜 _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HDiv.hDiv.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHDiv.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.div.{u1} 𝕜 _inst_1)) x y)) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivisionRing.toDiv.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+Case conversion may be inaccurate. Consider using '#align coe_div_unit_sphere coe_div_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_div_unit_sphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
+theorem coe_div_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x / y) = (x / y : 𝕜) :=
   rfl
-#align coe_div_unit_sphere coe_div_unit_sphere
+#align coe_div_unit_sphere coe_div_unitSphere
 
 instance [NormedDivisionRing 𝕜] : Pow (sphere (0 : 𝕜) 1) ℤ :=
   ⟨fun x n =>
     ⟨x ^ n, by
       rw [mem_sphere_zero_iff_norm, norm_zpow, mem_sphere_zero_iff_norm.1 x.coe_prop, one_zpow]⟩⟩
 
+/- warning: coe_zpow_unit_sphere -> coe_zpow_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Int), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Int (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Int (Int.hasPow.{u1} 𝕜 _inst_1)) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Int 𝕜 (instHPow.{u1, 0} 𝕜 Int (DivInvMonoid.Pow.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Int), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Int (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Int (Metric.unitSphere.pow.{u1} 𝕜 _inst_1)) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Int 𝕜 (instHPow.{u1, 0} 𝕜 Int (DivInvMonoid.Pow.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+Case conversion may be inaccurate. Consider using '#align coe_zpow_unit_sphere coe_zpow_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_zpow_unit_sphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℤ) :
+theorem coe_zpow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℤ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
-#align coe_zpow_unit_sphere coe_zpow_unit_sphere
+#align coe_zpow_unit_sphere coe_zpow_unitSphere
 
 instance [NormedDivisionRing 𝕜] : Monoid (sphere (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitSphere 𝕜)
 
+/- warning: coe_one_unit_sphere -> coe_one_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (OfNat.ofNat.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (OfNat.mk.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) 1 (One.one.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (MulOneClass.toHasOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))) (One.one.{0} Real Real.hasOne))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocRing.toAddGroupWithOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (OfNat.ofNat.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) 1 (One.toOfNat1.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toOne.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align coe_one_unit_sphere coe_one_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_one_unit_sphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1) : 𝕜) = 1 :=
+theorem coe_one_unitSphere [NormedDivisionRing 𝕜] : ((1 : sphere (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
-#align coe_one_unit_sphere coe_one_unit_sphere
-
+#align coe_one_unit_sphere coe_one_unitSphere
+
+/- warning: coe_mul_unit_sphere -> coe_mul_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (y : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HMul.hMul.{u1, u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (MulOneClass.toHasMul.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) y))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (y : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HMul.hMul.{u1, u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)))) x y)) (HMul.hMul.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHMul.{u1} 𝕜 (NonUnitalNonAssocRing.toMul.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) y))
+Case conversion may be inaccurate. Consider using '#align coe_mul_unit_sphere coe_mul_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_mul_unit_sphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
+theorem coe_mul_unitSphere [NormedDivisionRing 𝕜] (x y : sphere (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
-#align coe_mul_unit_sphere coe_mul_unit_sphere
-
+#align coe_mul_unit_sphere coe_mul_unitSphere
+
+/- warning: coe_pow_unit_sphere -> coe_pow_unitSphere is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (n : Nat), Eq.{succ u1} 𝕜 ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) (HPow.hPow.{u1, 0, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (instHPow.{u1, 0} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) Nat (Monoid.Pow.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x) n)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (n : Nat), Eq.{succ u1} 𝕜 (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (HPow.hPow.{u1, 0, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (instHPow.{u1, 0} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) Nat (Monoid.Pow.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) x n)) (HPow.hPow.{u1, 0, u1} 𝕜 Nat 𝕜 (instHPow.{u1, 0} 𝕜 Nat (Monoid.Pow.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x) n)
+Case conversion may be inaccurate. Consider using '#align coe_pow_unit_sphere coe_pow_unitSphereₓ'. -/
 @[simp, norm_cast]
-theorem coe_pow_unit_sphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℕ) :
+theorem coe_pow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (n : ℕ) :
     ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
-#align coe_pow_unit_sphere coe_pow_unit_sphere
-
+#align coe_pow_unit_sphere coe_pow_unitSphere
+
+/- warning: unit_sphere_to_units -> unitSphereToUnits is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NormedDivisionRing.{u1} 𝕜], MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : NormedDivisionRing.{u1} 𝕜], MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units unitSphereToUnitsₓ'. -/
 /-- Monoid homomorphism from the unit sphere to the group of units. -/
 def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 𝕜) 1 →* Units 𝕜 :=
   Units.liftRight (Submonoid.unitSphere 𝕜).Subtype
     (fun x => Units.mk0 x <| ne_zero_of_mem_unit_sphere _) fun x => rfl
 #align unit_sphere_to_units unitSphereToUnits
 
+/- warning: unit_sphere_to_units_apply_coe -> unitSphereToUnits_apply_coe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))), Eq.{succ u1} 𝕜 ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (coeBase.{succ u1, succ u1} (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) 𝕜 (Units.hasCoe.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) ((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} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) 𝕜 (coeSubtype.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.Mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.hasMem.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))) x)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜] (x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))), Eq.{succ u1} 𝕜 (Units.val.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1) x)) (Subtype.val.{succ u1} 𝕜 (fun (x : 𝕜) => Membership.mem.{u1, u1} 𝕜 (Set.{u1} 𝕜) (Set.instMembershipSet.{u1} 𝕜) x (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) x)
+Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coeₓ'. -/
 @[simp]
 theorem unitSphereToUnits_apply_coe [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) :
     (unitSphereToUnits 𝕜 x : 𝕜) = x :=
   rfl
 #align unit_sphere_to_units_apply_coe unitSphereToUnits_apply_coe
 
+/- warning: unit_sphere_to_units_injective -> unitSphereToUnits_injective is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (coeFn.{succ u1, succ u1} (MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (fun (_x : MonoidHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) => (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) -> (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (MonoidHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Units.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))) (Monoid.toMulOneClass.{u1} (coeSort.{succ u1, succ (succ u1)} (Set.{u1} 𝕜) Type.{u1} (Set.hasCoeToSort.{u1} 𝕜) (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1)))))))))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))) (Metric.sphere.monoid.{u1} 𝕜 _inst_1)) (Units.mulOneClass.{u1} 𝕜 (Ring.toMonoid.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NormedDivisionRing.{u1} 𝕜], Function.Injective.{succ u1, succ u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (fun (_x : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) => Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MulOneClass.toMul.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1))) (MulOneClass.toMul.{u1} (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (MonoidHomClass.toMulHomClass.{u1, u1, u1} (MonoidHom.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (MonoidHom.monoidHomClass.{u1, u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Units.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1)))))) (Monoid.toMulOneClass.{u1} (Set.Elem.{u1} 𝕜 (Metric.sphere.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (NormedRing.toSeminormedRing.{u1} 𝕜 (NormedDivisionRing.toNormedRing.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))) (Metric.unitSphere.monoid.{u1} 𝕜 _inst_1)) (Units.instMulOneClassUnits.{u1} 𝕜 (MonoidWithZero.toMonoid.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (DivisionRing.toDivisionSemiring.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 _inst_1))))))))) (unitSphereToUnits.{u1} 𝕜 _inst_1))
+Case conversion may be inaccurate. Consider using '#align unit_sphere_to_units_injective unitSphereToUnits_injectiveₓ'. -/
 theorem unitSphereToUnits_injective [NormedDivisionRing 𝕜] :
     Function.Injective (unitSphereToUnits 𝕜) := fun x y h =>
   Subtype.eq <| by convert congr_arg Units.val h

3339976e

bump to nightly-2023-03-13-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

66e1e587

Diff

@@ -26,7 +26,7 @@ open Set Metric
 variable {𝕜 : Type _}
 
 /-- Unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
-def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSemiNormedRing 𝕜] : Subsemigroup 𝕜
+def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := ball (0 : 𝕜) 1
   mul_mem' x y hx hy := by
@@ -34,26 +34,26 @@ def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSemiNormedRing 𝕜] : Subse
     exact (norm_mul_le x y).trans_lt (mul_lt_one_of_nonneg_of_lt_one_left (norm_nonneg _) hx hy.le)
 #align subsemigroup.unit_ball Subsemigroup.unitBall
 
-instance [NonUnitalSemiNormedRing 𝕜] : Semigroup (ball (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : Semigroup (ball (0 : 𝕜) 1) :=
   MulMemClass.toSemigroup (Subsemigroup.unitBall 𝕜)
 
-instance [NonUnitalSemiNormedRing 𝕜] : ContinuousMul (ball (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (ball (0 : 𝕜) 1) :=
   (Subsemigroup.unitBall 𝕜).ContinuousMul
 
-instance [SemiNormedCommRing 𝕜] : CommSemigroup (ball (0 : 𝕜) 1) :=
+instance [SeminormedCommRing 𝕜] : CommSemigroup (ball (0 : 𝕜) 1) :=
   MulMemClass.toCommSemigroup (Subsemigroup.unitBall 𝕜)
 
-instance [NonUnitalSemiNormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (ball (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : ball (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
 @[simp, norm_cast]
-theorem coe_mul_unit_ball [NonUnitalSemiNormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
+theorem coe_mul_unit_ball [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_ball coe_mul_unit_ball
 
 /-- Closed unit ball in a non unital semi normed ring as a bundled `subsemigroup`. -/
-def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSemiNormedRing 𝕜] : Subsemigroup 𝕜
+def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := closedBall 0 1
   mul_mem' x y hx hy := by
@@ -61,42 +61,42 @@ def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSemiNormedRing 𝕜] :
     exact (norm_mul_le x y).trans (mul_le_one hx (norm_nonneg _) hy)
 #align subsemigroup.unit_closed_ball Subsemigroup.unitClosedBall
 
-instance [NonUnitalSemiNormedRing 𝕜] : Semigroup (closedBall (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : Semigroup (closedBall (0 : 𝕜) 1) :=
   MulMemClass.toSemigroup (Subsemigroup.unitClosedBall 𝕜)
 
-instance [NonUnitalSemiNormedRing 𝕜] : HasDistribNeg (closedBall (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : HasDistribNeg (closedBall (0 : 𝕜) 1) :=
   Subtype.coe_injective.HasDistribNeg (coe : closedBall (0 : 𝕜) 1 → 𝕜) (fun _ => rfl) fun _ _ => rfl
 
-instance [NonUnitalSemiNormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1) :=
+instance [NonUnitalSeminormedRing 𝕜] : ContinuousMul (closedBall (0 : 𝕜) 1) :=
   (Subsemigroup.unitClosedBall 𝕜).ContinuousMul
 
 @[simp, norm_cast]
-theorem coe_mul_unit_closedBall [NonUnitalSemiNormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
+theorem coe_mul_unit_closedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall (0 : 𝕜) 1) :
     ↑(x * y) = (x * y : 𝕜) :=
   rfl
 #align coe_mul_unit_closed_ball coe_mul_unit_closedBall
 
 /-- Closed unit ball in a semi normed ring as a bundled `submonoid`. -/
-def Submonoid.unitClosedBall (𝕜 : Type _) [SemiNormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
+def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
     carrier := closedBall 0 1
     one_mem' := mem_closedBall_zero_iff.2 norm_one.le }
 #align submonoid.unit_closed_ball Submonoid.unitClosedBall
 
-instance [SemiNormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 𝕜) 1) :=
+instance [SeminormedRing 𝕜] [NormOneClass 𝕜] : Monoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toMonoid (Submonoid.unitClosedBall 𝕜)
 
-instance [SemiNormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall (0 : 𝕜) 1) :=
+instance [SeminormedCommRing 𝕜] [NormOneClass 𝕜] : CommMonoid (closedBall (0 : 𝕜) 1) :=
   SubmonoidClass.toCommMonoid (Submonoid.unitClosedBall 𝕜)
 
 @[simp, norm_cast]
-theorem coe_one_unit_closedBall [SemiNormedRing 𝕜] [NormOneClass 𝕜] :
+theorem coe_one_unit_closedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] :
     ((1 : closedBall (0 : 𝕜) 1) : 𝕜) = 1 :=
   rfl
 #align coe_one_unit_closed_ball coe_one_unit_closedBall
 
 @[simp, norm_cast]
-theorem coe_pow_unit_closedBall [SemiNormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
+theorem coe_pow_unit_closedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : closedBall (0 : 𝕜) 1)
     (n : ℕ) : ↑(x ^ n) = (x ^ n : 𝕜) :=
   rfl
 #align coe_pow_unit_closed_ball coe_pow_unit_closedBall

3339976e

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

3339976e

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -205,4 +205,4 @@ instance Metric.sphere.topologicalGroup [NormedDivisionRing 𝕜] : TopologicalG
 instance Metric.sphere.commGroup [NormedField 𝕜] : CommGroup (sphere (0 : 𝕜) 1) :=
   { Metric.sphere.group,
     Subtype.coe_injective.commMonoid (↑) rfl (fun _ _ => rfl) (fun _ _ => rfl) with }
-  -- porting note: Lean couldn't see past the type synonym into the subtype.
+  -- Porting note: Lean couldn't see past the type synonym into the subtype.

3339976e

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -20,10 +20,10 @@ from `NonUnitalSeminormedRing` to `NormedField`.
 
 open Set Metric
 
-variable {𝕜 : Type _}
+variable {𝕜 : Type*}
 
 /-- Unit ball in a non unital semi normed ring as a bundled `Subsemigroup`. -/
-def Subsemigroup.unitBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
+def Subsemigroup.unitBall (𝕜 : Type*) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := ball (0 : 𝕜) 1
   mul_mem' hx hy := by
@@ -52,7 +52,7 @@ theorem coe_mul_unitBall [NonUnitalSeminormedRing 𝕜] (x y : ball (0 : 𝕜) 1
 #align coe_mul_unit_ball coe_mul_unitBall
 
 /-- Closed unit ball in a non unital semi normed ring as a bundled `Subsemigroup`. -/
-def Subsemigroup.unitClosedBall (𝕜 : Type _) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
+def Subsemigroup.unitClosedBall (𝕜 : Type*) [NonUnitalSeminormedRing 𝕜] : Subsemigroup 𝕜
     where
   carrier := closedBall 0 1
   mul_mem' hx hy := by
@@ -79,7 +79,7 @@ theorem coe_mul_unitClosedBall [NonUnitalSeminormedRing 𝕜] (x y : closedBall
 #align coe_mul_unit_closed_ball coe_mul_unitClosedBall
 
 /-- Closed unit ball in a semi normed ring as a bundled `Submonoid`. -/
-def Submonoid.unitClosedBall (𝕜 : Type _) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
+def Submonoid.unitClosedBall (𝕜 : Type*) [SeminormedRing 𝕜] [NormOneClass 𝕜] : Submonoid 𝕜 :=
   { Subsemigroup.unitClosedBall 𝕜 with
     carrier := closedBall 0 1
     one_mem' := mem_closedBall_zero_iff.2 norm_one.le }
@@ -106,7 +106,7 @@ theorem coe_pow_unitClosedBall [SeminormedRing 𝕜] [NormOneClass 𝕜] (x : cl
 #align coe_pow_unit_closed_ball coe_pow_unitClosedBall
 
 /-- Unit sphere in a normed division ring as a bundled `Submonoid`. -/
-def Submonoid.unitSphere (𝕜 : Type _) [NormedDivisionRing 𝕜] : Submonoid 𝕜
+def Submonoid.unitSphere (𝕜 : Type*) [NormedDivisionRing 𝕜] : Submonoid 𝕜
     where
   carrier := sphere (0 : 𝕜) 1
   mul_mem' hx hy := by
@@ -171,7 +171,7 @@ theorem coe_pow_unitSphere [NormedDivisionRing 𝕜] (x : sphere (0 : 𝕜) 1) (
 #align coe_pow_unit_sphere coe_pow_unitSphere
 
 /-- Monoid homomorphism from the unit sphere to the group of units. -/
-def unitSphereToUnits (𝕜 : Type _) [NormedDivisionRing 𝕜] : sphere (0 : 𝕜) 1 →* Units 𝕜 :=
+def unitSphereToUnits (𝕜 : Type*) [NormedDivisionRing 𝕜] : sphere (0 : 𝕜) 1 →* Units 𝕜 :=
   Units.liftRight (Submonoid.unitSphere 𝕜).subtype
     (fun x => Units.mk0 x <| ne_zero_of_mem_unit_sphere _) fun _x => rfl
 #align unit_sphere_to_units unitSphereToUnits

3339976e

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Heather Macbeth
-
-! This file was ported from Lean 3 source module analysis.normed.field.unit_ball
-! leanprover-community/mathlib commit 3339976e2bcae9f1c81e620836d1eb736e3c4700
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Normed.Field.Basic
 import Mathlib.Analysis.Normed.Group.BallSphere
 
+#align_import analysis.normed.field.unit_ball from "leanprover-community/mathlib"@"3339976e2bcae9f1c81e620836d1eb736e3c4700"
+
 /-!
 # Algebraic structures on unit balls and spheres

3339976e

feat: port Analysis.Complex.Circle (#4014)

Co-authored-by: Mauricio Collares <mauricio@collares.org>

44a2ae61

Diff

@@ -205,7 +205,7 @@ instance Metric.sphere.topologicalGroup [NormedDivisionRing 𝕜] : TopologicalG
   toContinuousMul := (Submonoid.unitSphere 𝕜).continuousMul
   continuous_inv := (continuous_subtype_val.inv₀ ne_zero_of_mem_unit_sphere).subtype_mk _
 
-instance Metric.unitSphere.commGroup [NormedField 𝕜] : CommGroup (sphere (0 : 𝕜) 1) :=
+instance Metric.sphere.commGroup [NormedField 𝕜] : CommGroup (sphere (0 : 𝕜) 1) :=
   { Metric.sphere.group,
     Subtype.coe_injective.commMonoid (↑) rfl (fun _ _ => rfl) (fun _ _ => rfl) with }
   -- porting note: Lean couldn't see past the type synonym into the subtype.

3339976e

feat: port Analysis.Normed.Field.UnitBall (#2857)

d81c6ecd

`analysis.normed.field.unit_ball` ⟷ `Mathlib.Analysis.Normed.Field.UnitBall`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 602

analysis.normed.field.unit_ball ⟷ Mathlib.Analysis.Normed.Field.UnitBall

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 602

`analysis.normed.field.unit_ball` ⟷ `Mathlib.Analysis.Normed.Field.UnitBall`