analysis.normed_space.add_torsor ⟷ Mathlib.Analysis.NormedSpace.AddTorsor

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -266,7 +266,7 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   rw [dist_eq_norm_vsub V, dist_eq_norm_vsub V, dist_eq_norm_vsub V, midpoint_vsub_midpoint] <;>
     try infer_instance
   rw [midpoint_eq_smul_add, norm_smul, invOf_eq_inv, norm_inv, ← div_eq_inv_mul]
-  exact div_le_div_of_le_of_nonneg (norm_add_le _ _) (norm_nonneg _)
+  exact div_le_div_of_nonneg_right (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
 -/
 
@@ -300,7 +300,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   obtain ⟨u, hu₁, hu₂, hu₃⟩ := mem_interior.mp hy
   obtain ⟨ε, hε, hyε⟩ := metric.is_open_iff.mp hu₂ y hu₃
   refine' ⟨ε / ‖y -ᵥ x‖, div_pos hε hxy, fun δ (hδ : ‖δ - 1‖ < ε / ‖y -ᵥ x‖) => hu₁ (hyε _)⟩
-  rw [lt_div_iff hxy, ← norm_smul, sub_smul, one_smul] at hδ 
+  rw [lt_div_iff hxy, ← norm_smul, sub_smul, one_smul] at hδ
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 -/

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

@@ -3,11 +3,11 @@ Copyright (c) 2020 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 -/
-import Mathbin.Analysis.NormedSpace.Basic
-import Mathbin.Analysis.Normed.Group.AddTorsor
-import Mathbin.LinearAlgebra.AffineSpace.MidpointZero
-import Mathbin.LinearAlgebra.AffineSpace.AffineSubspace
-import Mathbin.Topology.Instances.RealVectorSpace
+import Analysis.NormedSpace.Basic
+import Analysis.Normed.Group.AddTorsor
+import LinearAlgebra.AffineSpace.MidpointZero
+import LinearAlgebra.AffineSpace.AffineSubspace
+import Topology.Instances.RealVectorSpace
 
 #align_import analysis.normed_space.add_torsor from "leanprover-community/mathlib"@"837f72de63ad6cd96519cde5f1ffd5ed8d280ad0"
 

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit 837f72de63ad6cd96519cde5f1ffd5ed8d280ad0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Basic
 import Mathbin.Analysis.Normed.Group.AddTorsor
@@ -14,6 +9,8 @@ import Mathbin.LinearAlgebra.AffineSpace.MidpointZero
 import Mathbin.LinearAlgebra.AffineSpace.AffineSubspace
 import Mathbin.Topology.Instances.RealVectorSpace
 
+#align_import analysis.normed_space.add_torsor from "leanprover-community/mathlib"@"837f72de63ad6cd96519cde5f1ffd5ed8d280ad0"
+
 /-!
 # Torsors of normed space actions.
 

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

@@ -39,6 +39,7 @@ variable {𝕜 : Type _} [NormedField 𝕜] [NormedSpace 𝕜 V] [NormedSpace 
 
 open AffineMap
 
+#print AffineSubspace.isClosed_direction_iff /-
 theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
     IsClosed (s.direction : Set W) ↔ IsClosed (s : Set Q) :=
   by
@@ -47,32 +48,40 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
     AffineSubspace.coe_direction_eq_vsub_set_right hx]
   rfl
 #align affine_subspace.is_closed_direction_iff AffineSubspace.isClosed_direction_iff
+-/
 
-include V
-
+#print dist_center_homothety /-
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
   simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]
 #align dist_center_homothety dist_center_homothety
+-/
 
+#print nndist_center_homothety /-
 @[simp]
 theorem nndist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     nndist p₁ (homothety p₁ c p₂) = ‖c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_center_homothety _ _ _
 #align nndist_center_homothety nndist_center_homothety
+-/
 
+#print dist_homothety_center /-
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
 #align dist_homothety_center dist_homothety_center
+-/
 
+#print nndist_homothety_center /-
 @[simp]
 theorem nndist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     nndist (homothety p₁ c p₂) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_homothety_center _ _ _
 #align nndist_homothety_center nndist_homothety_center
+-/
 
+#print dist_lineMap_lineMap /-
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ :=
@@ -81,12 +90,15 @@ theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
   simp only [line_map_apply, dist_eq_norm_vsub, vadd_vsub_vadd_cancel_right, ← sub_smul, norm_smul,
     vsub_eq_sub]
 #align dist_line_map_line_map dist_lineMap_lineMap
+-/
 
+#print nndist_lineMap_lineMap /-
 @[simp]
 theorem nndist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     nndist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = nndist c₁ c₂ * nndist p₁ p₂ :=
   NNReal.eq <| dist_lineMap_lineMap _ _ _ _
 #align nndist_line_map_line_map nndist_lineMap_lineMap
+-/
 
 #print lipschitzWith_lineMap /-
 theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂) (lineMap p₁ p₂ : 𝕜 → P) :=
@@ -95,121 +107,162 @@ theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂)
 #align lipschitz_with_line_map lipschitzWith_lineMap
 -/
 
+#print dist_lineMap_left /-
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
   simpa only [line_map_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
 #align dist_line_map_left dist_lineMap_left
+-/
 
+#print nndist_lineMap_left /-
 @[simp]
 theorem nndist_lineMap_left (p₁ p₂ : P) (c : 𝕜) :
     nndist (lineMap p₁ p₂ c) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_lineMap_left _ _ _
 #align nndist_line_map_left nndist_lineMap_left
+-/
 
+#print dist_left_lineMap /-
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_left _ _ _)
 #align dist_left_line_map dist_left_lineMap
+-/
 
+#print nndist_left_lineMap /-
 @[simp]
 theorem nndist_left_lineMap (p₁ p₂ : P) (c : 𝕜) :
     nndist p₁ (lineMap p₁ p₂ c) = ‖c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_left_lineMap _ _ _
 #align nndist_left_line_map nndist_left_lineMap
+-/
 
+#print dist_lineMap_right /-
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
   by simpa only [line_map_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1
 #align dist_line_map_right dist_lineMap_right
+-/
 
+#print nndist_lineMap_right /-
 @[simp]
 theorem nndist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
     nndist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_lineMap_right _ _ _
 #align nndist_line_map_right nndist_lineMap_right
+-/
 
+#print dist_right_lineMap /-
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
+-/
 
+#print nndist_right_lineMap /-
 @[simp]
 theorem nndist_right_lineMap (p₁ p₂ : P) (c : 𝕜) :
     nndist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_right_lineMap _ _ _
 #align nndist_right_line_map nndist_right_lineMap
+-/
 
+#print dist_homothety_self /-
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_line_map, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
+-/
 
+#print nndist_homothety_self /-
 @[simp]
 theorem nndist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     nndist (homothety p₁ c p₂) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_homothety_self _ _ _
 #align nndist_homothety_self nndist_homothety_self
+-/
 
+#print dist_self_homothety /-
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
 #align dist_self_homothety dist_self_homothety
+-/
 
+#print nndist_self_homothety /-
 @[simp]
 theorem nndist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     nndist p₂ (homothety p₁ c p₂) = ‖1 - c‖₊ * nndist p₁ p₂ :=
   NNReal.eq <| dist_self_homothety _ _ _
 #align nndist_self_homothety nndist_self_homothety
+-/
 
 section invertibleTwo
 
 variable [Invertible (2 : 𝕜)]
 
+#print dist_left_midpoint /-
 @[simp]
 theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [midpoint, dist_comm, dist_lineMap_left, invOf_eq_inv, ← norm_inv]
 #align dist_left_midpoint dist_left_midpoint
+-/
 
+#print nndist_left_midpoint /-
 @[simp]
 theorem nndist_left_midpoint (p₁ p₂ : P) :
     nndist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
   NNReal.eq <| dist_left_midpoint _ _
 #align nndist_left_midpoint nndist_left_midpoint
+-/
 
+#print dist_midpoint_left /-
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_left_midpoint]
 #align dist_midpoint_left dist_midpoint_left
+-/
 
+#print nndist_midpoint_left /-
 @[simp]
 theorem nndist_midpoint_left (p₁ p₂ : P) :
     nndist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
   NNReal.eq <| dist_midpoint_left _ _
 #align nndist_midpoint_left nndist_midpoint_left
+-/
 
+#print dist_midpoint_right /-
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [midpoint_comm, dist_midpoint_left, dist_comm]
 #align dist_midpoint_right dist_midpoint_right
+-/
 
+#print nndist_midpoint_right /-
 @[simp]
 theorem nndist_midpoint_right (p₁ p₂ : P) :
     nndist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
   NNReal.eq <| dist_midpoint_right _ _
 #align nndist_midpoint_right nndist_midpoint_right
+-/
 
+#print dist_right_midpoint /-
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [dist_comm, dist_midpoint_right]
 #align dist_right_midpoint dist_right_midpoint
+-/
 
+#print nndist_right_midpoint /-
 @[simp]
 theorem nndist_right_midpoint (p₁ p₂ : P) :
     nndist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
   NNReal.eq <| dist_right_midpoint _ _
 #align nndist_right_midpoint nndist_right_midpoint
+-/
 
+#print dist_midpoint_midpoint_le' /-
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ :=
   by
@@ -218,27 +271,29 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   rw [midpoint_eq_smul_add, norm_smul, invOf_eq_inv, norm_inv, ← div_eq_inv_mul]
   exact div_le_div_of_le_of_nonneg (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
+-/
 
+#print nndist_midpoint_midpoint_le' /-
 theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     nndist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / ‖(2 : 𝕜)‖₊ :=
   dist_midpoint_midpoint_le' _ _ _ _
 #align nndist_midpoint_midpoint_le' nndist_midpoint_midpoint_le'
+-/
 
 end invertibleTwo
 
-omit V
-
-include W
-
+#print antilipschitzWith_lineMap /-
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=
   AntilipschitzWith.of_le_mul_dist fun c₁ c₂ => by
     rw [dist_lineMap_lineMap, NNReal.coe_inv, ← dist_nndist, mul_left_comm,
       inv_mul_cancel (dist_ne_zero.2 h), mul_one]
 #align antilipschitz_with_line_map antilipschitzWith_lineMap
+-/
 
 variable (𝕜)
 
+#print eventually_homothety_mem_of_mem_interior /-
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
   by
@@ -251,7 +306,9 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   rw [lt_div_iff hxy, ← norm_smul, sub_smul, one_smul] at hδ 
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
+-/
 
+#print eventually_homothety_image_subset_of_finite_subset_interior /-
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=
   by
@@ -262,22 +319,25 @@ theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s :
   intro y hy
   exact eventually_homothety_mem_of_mem_interior 𝕜 x (h hy)
 #align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interior
+-/
 
 end NormedSpace
 
 variable [NormedSpace ℝ V] [NormedSpace ℝ W]
 
+#print dist_midpoint_midpoint_le /-
 theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     dist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / 2 := by
   simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄
 #align dist_midpoint_midpoint_le dist_midpoint_midpoint_le
+-/
 
+#print nndist_midpoint_midpoint_le /-
 theorem nndist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     nndist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / 2 :=
   dist_midpoint_midpoint_le _ _ _ _
 #align nndist_midpoint_midpoint_le nndist_midpoint_midpoint_le
-
-include V W
+-/
 
 #print AffineMap.ofMapMidpoint /-
 /-- A continuous map between two normed affine spaces is an affine map provided that

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -290,7 +290,7 @@ def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = m
               f ∘ AffineEquiv.vaddConst ℝ (Classical.arbitrary P))
             (by simp) fun x y => by simp [h]).toRealLinearMap <|
         by
-        apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id] ))
+        apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id]))
     (Classical.arbitrary P) fun p => by simp
 #align affine_map.of_map_midpoint AffineMap.ofMapMidpoint
 -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -248,7 +248,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   obtain ⟨u, hu₁, hu₂, hu₃⟩ := mem_interior.mp hy
   obtain ⟨ε, hε, hyε⟩ := metric.is_open_iff.mp hu₂ y hu₃
   refine' ⟨ε / ‖y -ᵥ x‖, div_pos hε hxy, fun δ (hδ : ‖δ - 1‖ < ε / ‖y -ᵥ x‖) => hu₁ (hyε _)⟩
-  rw [lt_div_iff hxy, ← norm_smul, sub_smul, one_smul] at hδ
+  rw [lt_div_iff hxy, ← norm_smul, sub_smul, one_smul] at hδ 
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
+! leanprover-community/mathlib commit 837f72de63ad6cd96519cde5f1ffd5ed8d280ad0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -56,11 +56,23 @@ theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
   simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
+@[simp]
+theorem nndist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₁ (homothety p₁ c p₂) = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_center_homothety _ _ _
+#align nndist_center_homothety nndist_center_homothety
+
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
 #align dist_homothety_center dist_homothety_center
 
+@[simp]
+theorem nndist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
+    nndist (homothety p₁ c p₂) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_homothety_center _ _ _
+#align nndist_homothety_center nndist_homothety_center
+
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ :=
@@ -70,6 +82,12 @@ theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     vsub_eq_sub]
 #align dist_line_map_line_map dist_lineMap_lineMap
 
+@[simp]
+theorem nndist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
+    nndist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = nndist c₁ c₂ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_lineMap _ _ _ _
+#align nndist_line_map_line_map nndist_lineMap_lineMap
+
 #print lipschitzWith_lineMap /-
 theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂) (lineMap p₁ p₂ : 𝕜 → P) :=
   LipschitzWith.of_dist_le_mul fun c₁ c₂ =>
@@ -82,32 +100,68 @@ theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c
   simpa only [line_map_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
 #align dist_line_map_left dist_lineMap_left
 
+@[simp]
+theorem nndist_lineMap_left (p₁ p₂ : P) (c : 𝕜) :
+    nndist (lineMap p₁ p₂ c) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_left _ _ _
+#align nndist_line_map_left nndist_lineMap_left
+
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_left _ _ _)
 #align dist_left_line_map dist_left_lineMap
 
+@[simp]
+theorem nndist_left_lineMap (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₁ (lineMap p₁ p₂ c) = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_left_lineMap _ _ _
+#align nndist_left_line_map nndist_left_lineMap
+
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
   by simpa only [line_map_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1
 #align dist_line_map_right dist_lineMap_right
 
+@[simp]
+theorem nndist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
+    nndist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_right _ _ _
+#align nndist_line_map_right nndist_lineMap_right
+
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
 
+@[simp]
+theorem nndist_right_lineMap (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_right_lineMap _ _ _
+#align nndist_right_line_map nndist_right_lineMap
+
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_line_map, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
 
+@[simp]
+theorem nndist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
+    nndist (homothety p₁ c p₂) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_homothety_self _ _ _
+#align nndist_homothety_self nndist_homothety_self
+
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
 #align dist_self_homothety dist_self_homothety
 
+@[simp]
+theorem nndist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₂ (homothety p₁ c p₂) = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_self_homothety _ _ _
+#align nndist_self_homothety nndist_self_homothety
+
 section invertibleTwo
 
 variable [Invertible (2 : 𝕜)]
@@ -117,21 +171,45 @@ theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂)
   rw [midpoint, dist_comm, dist_lineMap_left, invOf_eq_inv, ← norm_inv]
 #align dist_left_midpoint dist_left_midpoint
 
+@[simp]
+theorem nndist_left_midpoint (p₁ p₂ : P) :
+    nndist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_left_midpoint _ _
+#align nndist_left_midpoint nndist_left_midpoint
+
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_left_midpoint]
 #align dist_midpoint_left dist_midpoint_left
 
+@[simp]
+theorem nndist_midpoint_left (p₁ p₂ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_midpoint_left _ _
+#align nndist_midpoint_left nndist_midpoint_left
+
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [midpoint_comm, dist_midpoint_left, dist_comm]
 #align dist_midpoint_right dist_midpoint_right
 
+@[simp]
+theorem nndist_midpoint_right (p₁ p₂ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_midpoint_right _ _
+#align nndist_midpoint_right nndist_midpoint_right
+
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [dist_comm, dist_midpoint_right]
 #align dist_right_midpoint dist_right_midpoint
 
+@[simp]
+theorem nndist_right_midpoint (p₁ p₂ : P) :
+    nndist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_right_midpoint _ _
+#align nndist_right_midpoint nndist_right_midpoint
+
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ :=
   by
@@ -141,6 +219,11 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   exact div_le_div_of_le_of_nonneg (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
 
+theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / ‖(2 : 𝕜)‖₊ :=
+  dist_midpoint_midpoint_le' _ _ _ _
+#align nndist_midpoint_midpoint_le' nndist_midpoint_midpoint_le'
+
 end invertibleTwo
 
 omit V
@@ -189,6 +272,11 @@ theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
   simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄
 #align dist_midpoint_midpoint_le dist_midpoint_midpoint_le
 
+theorem nndist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
+    nndist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / 2 :=
+  dist_midpoint_midpoint_le _ _ _ _
+#align nndist_midpoint_midpoint_le nndist_midpoint_midpoint_le
+
 include V W
 
 #print AffineMap.ofMapMidpoint /-

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

@@ -26,7 +26,7 @@ This file contains lemmas about normed additive torsors over normed spaces.
 
 noncomputable section
 
-open NNReal Topology
+open scoped NNReal Topology
 
 open Filter
 

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

@@ -39,12 +39,6 @@ variable {𝕜 : Type _} [NormedField 𝕜] [NormedSpace 𝕜 V] [NormedSpace 
 
 open AffineMap
 
-/- warning: affine_subspace.is_closed_direction_iff -> AffineSubspace.isClosed_direction_iff is a dubious translation:
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u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) Q (AffineSubspace.setLike.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6))))) s))
-but is expected to have type
-  forall {W : Type.{u2}} {Q : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u2} W] [_inst_5 : MetricSpace.{u1} Q] [_inst_6 : NormedAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5)] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4)] (s : AffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)), Iff (IsClosed.{u2} W (UniformSpace.toTopologicalSpace.{u2} W (PseudoMetricSpace.toUniformSpace.{u2} W (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} W (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4)))) (SetLike.coe.{u2, u2} (Submodule.{u3, u2} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} W (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9)) W (Submodule.setLike.{u3, u2} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} W (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9)) (AffineSubspace.direction.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6) s))) (IsClosed.{u1} Q (UniformSpace.toTopologicalSpace.{u1} Q (PseudoMetricSpace.toUniformSpace.{u1} Q (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5))) (SetLike.coe.{u1, u1} (AffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)) Q (AffineSubspace.instSetLikeAffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)) s))
-Case conversion may be inaccurate. Consider using '#align affine_subspace.is_closed_direction_iff AffineSubspace.isClosed_direction_iffₓ'. -/
 theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
     IsClosed (s.direction : Set W) ↔ IsClosed (s : Set Q) :=
   by
@@ -56,26 +50,17 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
 
 include V
 
-/- warning: dist_center_homothety -> dist_center_homothety is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_center_homothety dist_center_homothetyₓ'. -/
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
   simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
-/- warning: dist_homothety_center -> dist_homothety_center is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_homothety_center dist_homothety_centerₓ'. -/
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
 #align dist_homothety_center dist_homothety_center
 
-/- warning: dist_line_map_line_map -> dist_lineMap_lineMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_line_map_line_map dist_lineMap_lineMapₓ'. -/
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ :=
@@ -92,50 +77,32 @@ theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂)
 #align lipschitz_with_line_map lipschitzWith_lineMap
 -/
 
-/- warning: dist_line_map_left -> dist_lineMap_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_line_map_left dist_lineMap_leftₓ'. -/
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
   simpa only [line_map_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
 #align dist_line_map_left dist_lineMap_left
 
-/- warning: dist_left_line_map -> dist_left_lineMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_left_line_map dist_left_lineMapₓ'. -/
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_left _ _ _)
 #align dist_left_line_map dist_left_lineMap
 
-/- warning: dist_line_map_right -> dist_lineMap_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_line_map_right dist_lineMap_rightₓ'. -/
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
   by simpa only [line_map_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1
 #align dist_line_map_right dist_lineMap_right
 
-/- warning: dist_right_line_map -> dist_right_lineMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_right_line_map dist_right_lineMapₓ'. -/
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
 
-/- warning: dist_homothety_self -> dist_homothety_self is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_homothety_self dist_homothety_selfₓ'. -/
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_line_map, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
 
-/- warning: dist_self_homothety -> dist_self_homothety is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dist_self_homothety dist_self_homothetyₓ'. -/
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
@@ -145,56 +112,26 @@ section invertibleTwo
 
 variable [Invertible (2 : 𝕜)]
 
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-Case conversion may be inaccurate. Consider using '#align dist_left_midpoint dist_left_midpointₓ'. -/
 @[simp]
 theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [midpoint, dist_comm, dist_lineMap_left, invOf_eq_inv, ← norm_inv]
 #align dist_left_midpoint dist_left_midpoint
 
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-Case conversion may be inaccurate. Consider using '#align dist_midpoint_left dist_midpoint_leftₓ'. -/
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_left_midpoint]
 #align dist_midpoint_left dist_midpoint_left
 
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-Case conversion may be inaccurate. Consider using '#align dist_midpoint_right dist_midpoint_rightₓ'. -/
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [midpoint_comm, dist_midpoint_left, dist_comm]
 #align dist_midpoint_right dist_midpoint_right
 
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-Case conversion may be inaccurate. Consider using '#align dist_right_midpoint dist_right_midpointₓ'. -/
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [dist_comm, dist_midpoint_right]
 #align dist_right_midpoint dist_right_midpoint
 
-/- warning: dist_midpoint_midpoint_le' -> dist_midpoint_midpoint_le' is a dubious translation:
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-  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.hasLe (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₃) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ p₄)) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))))
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-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.instLEReal (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₃) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ p₄)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))))
-Case conversion may be inaccurate. Consider using '#align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'ₓ'. -/
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ :=
   by
@@ -210,12 +147,6 @@ omit V
 
 include W
 
-/- warning: antilipschitz_with_line_map -> antilipschitzWith_lineMap is a dubious translation:
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-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u3} Q p₁ p₂) -> (AntilipschitzWith.{u2, u3} 𝕜 Q (EMetricSpace.toPseudoEMetricSpace.{u2} 𝕜 (MetricSpace.toEMetricSpace.{u2} 𝕜 (NormedField.toMetricSpace.{u2} 𝕜 _inst_7))) (EMetricSpace.toPseudoEMetricSpace.{u3} Q (MetricSpace.toEMetricSpace.{u3} Q _inst_5)) (Inv.inv.{0} NNReal (CanonicallyLinearOrderedSemifield.toInv.{0} NNReal NNReal.instCanonicallyLinearOrderedSemifieldNNReal) (NNDist.nndist.{u3} Q (PseudoMetricSpace.toNNDist.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)) p₁ p₂)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => Q) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) p₁ p₂)))
-Case conversion may be inaccurate. Consider using '#align antilipschitz_with_line_map antilipschitzWith_lineMapₓ'. -/
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=
   AntilipschitzWith.of_le_mul_dist fun c₁ c₂ => by
@@ -225,9 +156,6 @@ theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
 
 variable (𝕜)
 
-/- warning: eventually_homothety_mem_of_mem_interior -> eventually_homothety_mem_of_mem_interior is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interiorₓ'. -/
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
   by
@@ -241,9 +169,6 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 
-/- warning: eventually_homothety_image_subset_of_finite_subset_interior -> eventually_homothety_image_subset_of_finite_subset_interior is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interiorₓ'. -/
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=
   by
@@ -259,12 +184,6 @@ end NormedSpace
 
 variable [NormedSpace ℝ V] [NormedSpace ℝ W]
 
-/- warning: dist_midpoint_midpoint_le -> dist_midpoint_midpoint_le is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align dist_midpoint_midpoint_le dist_midpoint_midpoint_leₓ'. -/
 theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     dist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / 2 := by
   simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄

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

@@ -232,9 +232,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
   by
   rw [(NormedAddCommGroup.nhds_basis_norm_lt (1 : 𝕜)).eventually_iff]
-  cases' eq_or_ne y x with h h
-  · use 1
-    simp [h.symm, interior_subset hy]
+  cases' eq_or_ne y x with h h; · use 1; simp [h.symm, interior_subset hy]
   have hxy : 0 < ‖y -ᵥ x‖ := by rwa [norm_pos_iff, vsub_ne_zero]
   obtain ⟨u, hu₁, hu₂, hu₃⟩ := mem_interior.mp hy
   obtain ⟨ε, hε, hyε⟩ := metric.is_open_iff.mp hu₂ y hu₃

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

@@ -57,10 +57,7 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
 include V
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_center_homothety dist_center_homothetyₓ'. -/
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
@@ -69,10 +66,7 @@ theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
 #align dist_center_homothety dist_center_homothety
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_homothety_center dist_homothety_centerₓ'. -/
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
@@ -80,10 +74,7 @@ theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
 #align dist_homothety_center dist_homothety_center
 
 /- warning: dist_line_map_line_map -> dist_lineMap_lineMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_line_map_line_map dist_lineMap_lineMapₓ'. -/
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
@@ -102,10 +93,7 @@ theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂)
 -/
 
 /- warning: dist_line_map_left -> dist_lineMap_left is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_line_map_left dist_lineMap_leftₓ'. -/
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
@@ -113,10 +101,7 @@ theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c
 #align dist_line_map_left dist_lineMap_left
 
 /- warning: dist_left_line_map -> dist_left_lineMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_left_line_map dist_left_lineMapₓ'. -/
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
@@ -124,10 +109,7 @@ theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p
 #align dist_left_line_map dist_left_lineMap
 
 /- warning: dist_line_map_right -> dist_lineMap_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_line_map_right dist_lineMap_rightₓ'. -/
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
@@ -135,10 +117,7 @@ theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂
 #align dist_line_map_right dist_lineMap_right
 
 /- warning: dist_right_line_map -> dist_right_lineMap is a dubious translation:
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-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
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 Case conversion may be inaccurate. Consider using '#align dist_right_line_map dist_right_lineMapₓ'. -/
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
@@ -146,10 +125,7 @@ theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁
 #align dist_right_line_map dist_right_lineMap
 
 /- warning: dist_homothety_self -> dist_homothety_self is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align dist_homothety_self dist_homothety_selfₓ'. -/
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
@@ -158,10 +134,7 @@ theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
 #align dist_homothety_self dist_homothety_self
 
 /- warning: dist_self_homothety -> dist_self_homothety is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align dist_self_homothety dist_self_homothetyₓ'. -/
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
@@ -253,10 +226,7 @@ theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
 variable (𝕜)
 
 /- warning: eventually_homothety_mem_of_mem_interior -> eventually_homothety_mem_of_mem_interior is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interiorₓ'. -/
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
@@ -274,10 +244,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 
 /- warning: eventually_homothety_image_subset_of_finite_subset_interior -> eventually_homothety_image_subset_of_finite_subset_interior is a dubious translation:
-lean 3 declaration is
-  forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {t : Set.{u2} Q}, (Set.Finite.{u2} Q t) -> (HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) t (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) (Set.image.{u2, u2} Q Q (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
-but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interiorₓ'. -/
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=

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

@@ -60,7 +60,7 @@ include V
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) c) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_center_homothety dist_center_homothetyₓ'. -/
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
@@ -72,7 +72,7 @@ theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) c) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_homothety_center dist_homothety_centerₓ'. -/
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
@@ -83,7 +83,7 @@ theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c₁ : 𝕜) (c₂ : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₁) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Dist.dist.{u3} 𝕜 (PseudoMetricSpace.toHasDist.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) c₁ c₂) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c₁ : 𝕜) (c₂ : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c₁) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c₁) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₁) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Dist.dist.{u2} 𝕜 (PseudoMetricSpace.toDist.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) c₁ c₂) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c₁ : 𝕜) (c₂ : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c₁) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c₁) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₁) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Dist.dist.{u2} 𝕜 (PseudoMetricSpace.toDist.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) c₁ c₂) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_line_map_line_map dist_lineMap_lineMapₓ'. -/
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
@@ -105,7 +105,7 @@ theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂)
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) c) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_line_map_left dist_lineMap_leftₓ'. -/
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
@@ -116,7 +116,7 @@ theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) c) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_left_line_map dist_left_lineMapₓ'. -/
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
@@ -127,7 +127,7 @@ theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_line_map_right dist_lineMap_rightₓ'. -/
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
@@ -138,7 +138,7 @@ theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_right_line_map dist_right_lineMapₓ'. -/
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
@@ -149,7 +149,7 @@ theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_homothety_self dist_homothety_selfₓ'. -/
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
@@ -161,7 +161,7 @@ theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_self_homothety dist_self_homothetyₓ'. -/
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
@@ -241,7 +241,7 @@ include W
 lean 3 declaration is
   forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u2} Q p₁ p₂) -> (AntilipschitzWith.{u3, u2} 𝕜 Q (PseudoMetricSpace.toPseudoEMetricSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)) (Inv.inv.{0} NNReal (DivInvMonoid.toHasInv.{0} NNReal (GroupWithZero.toDivInvMonoid.{0} NNReal (DivisionSemiring.toGroupWithZero.{0} NNReal (Semifield.toDivisionSemiring.{0} NNReal (LinearOrderedSemifield.toSemifield.{0} NNReal (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{0} NNReal NNReal.canonicallyLinearOrderedSemifield)))))) (NNDist.nndist.{u2} Q (PseudoMetricSpace.toNNDist.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)) p₁ p₂)) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => 𝕜 -> Q) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) p₁ p₂)))
 but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u3} Q p₁ p₂) -> (AntilipschitzWith.{u2, u3} 𝕜 Q (EMetricSpace.toPseudoEMetricSpace.{u2} 𝕜 (MetricSpace.toEMetricSpace.{u2} 𝕜 (NormedField.toMetricSpace.{u2} 𝕜 _inst_7))) (EMetricSpace.toPseudoEMetricSpace.{u3} Q (MetricSpace.toEMetricSpace.{u3} Q _inst_5)) (Inv.inv.{0} NNReal (CanonicallyLinearOrderedSemifield.toInv.{0} NNReal NNReal.instCanonicallyLinearOrderedSemifieldNNReal) (NNDist.nndist.{u3} Q (PseudoMetricSpace.toNNDist.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)) p₁ p₂)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => Q) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) p₁ p₂)))
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u3} Q p₁ p₂) -> (AntilipschitzWith.{u2, u3} 𝕜 Q (EMetricSpace.toPseudoEMetricSpace.{u2} 𝕜 (MetricSpace.toEMetricSpace.{u2} 𝕜 (NormedField.toMetricSpace.{u2} 𝕜 _inst_7))) (EMetricSpace.toPseudoEMetricSpace.{u3} Q (MetricSpace.toEMetricSpace.{u3} Q _inst_5)) (Inv.inv.{0} NNReal (CanonicallyLinearOrderedSemifield.toInv.{0} NNReal NNReal.instCanonicallyLinearOrderedSemifieldNNReal) (NNDist.nndist.{u3} Q (PseudoMetricSpace.toNNDist.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)) p₁ p₂)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : 𝕜) => Q) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (Semiring.toModule.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) p₁ p₂)))
 Case conversion may be inaccurate. Consider using '#align antilipschitz_with_line_map antilipschitzWith_lineMapₓ'. -/
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=
@@ -256,7 +256,7 @@ variable (𝕜)
 lean 3 declaration is
   forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {y : Q}, (Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) y (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
 but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {y : Q}, (Membership.mem.{u3, u3} Q (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) y (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => Membership.mem.{u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) y) (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {y : Q}, (Membership.mem.{u3, u3} Q (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) y (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => Membership.mem.{u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : Q) => Q) y) (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interiorₓ'. -/
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
@@ -277,7 +277,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
 lean 3 declaration is
   forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {t : Set.{u2} Q}, (Set.Finite.{u2} Q t) -> (HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) t (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) (Set.image.{u2, u2} Q Q (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
 but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interiorₓ'. -/
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=

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

@@ -127,7 +127,7 @@ theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_line_map_right dist_lineMap_rightₓ'. -/
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
@@ -138,7 +138,7 @@ theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_right_line_map dist_right_lineMapₓ'. -/
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
@@ -149,7 +149,7 @@ theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) p₂) _inst_2) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_homothety_self dist_homothety_selfₓ'. -/
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
@@ -161,7 +161,7 @@ theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (Semiring.toOne.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_self_homothety dist_self_homothetyₓ'. -/
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
@@ -176,7 +176,7 @@ variable [Invertible (2 : 𝕜)]
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_left_midpoint dist_left_midpointₓ'. -/
 @[simp]
 theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
@@ -187,7 +187,7 @@ theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂)
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_midpoint_left dist_midpoint_leftₓ'. -/
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
@@ -198,7 +198,7 @@ theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_midpoint_right dist_midpoint_rightₓ'. -/
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
@@ -209,7 +209,7 @@ theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
 Case conversion may be inaccurate. Consider using '#align dist_right_midpoint dist_right_midpointₓ'. -/
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
@@ -220,7 +220,7 @@ theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂
 lean 3 declaration is
   forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.hasLe (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₃) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ p₄)) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))))
 but is expected to have type
-  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.instLEReal (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₃) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ p₄)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))))
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.instLEReal (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₃) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ p₄)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (Semiring.toNatCast.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))))
 Case conversion may be inaccurate. Consider using '#align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'ₓ'. -/
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ :=
@@ -256,7 +256,7 @@ variable (𝕜)
 lean 3 declaration is
   forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {y : Q}, (Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) y (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
 but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {y : Q}, (Membership.mem.{u3, u3} Q (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) y (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => Membership.mem.{u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) y) (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))))))
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {y : Q}, (Membership.mem.{u3, u3} Q (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) y (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => Membership.mem.{u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) y) (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interiorₓ'. -/
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
@@ -277,7 +277,7 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
 lean 3 declaration is
   forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {t : Set.{u2} Q}, (Set.Finite.{u2} Q t) -> (HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) t (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) (Set.image.{u2, u2} Q Q (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
 but is expected to have type
-  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))))))
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))))))))
 Case conversion may be inaccurate. Consider using '#align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interiorₓ'. -/
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit 78261225eb5cedc61c5c74ecb44e5b385d13b733
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.Topology.Instances.RealVectorSpace
 /-!
 # Torsors of normed space actions.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains lemmas about normed additive torsors over normed spaces.
 -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

@@ -36,6 +36,12 @@ variable {𝕜 : Type _} [NormedField 𝕜] [NormedSpace 𝕜 V] [NormedSpace 
 
 open AffineMap
 
+/- warning: affine_subspace.is_closed_direction_iff -> AffineSubspace.isClosed_direction_iff is a dubious translation:
+lean 3 declaration is
+  forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (s : AffineSubspace.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)), Iff (IsClosed.{u1} W (UniformSpace.toTopologicalSpace.{u1} W (PseudoMetricSpace.toUniformSpace.{u1} W (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} W (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Submodule.{u3, u1} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} W (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4)) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9)) (Set.{u1} W) (HasLiftT.mk.{succ u1, succ u1} (Submodule.{u3, u1} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} W (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4)) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9)) (Set.{u1} W) (CoeTCₓ.coe.{succ u1, succ u1} (Submodule.{u3, u1} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} W (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4)) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9)) (Set.{u1} W) (SetLike.Set.hasCoeT.{u1, u1} (Submodule.{u3, u1} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} W (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4)) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9)) W (Submodule.setLike.{u3, u1} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u1} W (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4)) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9))))) (AffineSubspace.direction.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) s))) (IsClosed.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (AffineSubspace.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (Set.{u2} Q) (HasLiftT.mk.{succ u2, succ u2} (AffineSubspace.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (Set.{u2} Q) (CoeTCₓ.coe.{succ u2, succ u2} (AffineSubspace.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (Set.{u2} Q) (SetLike.Set.hasCoeT.{u2, u2} (AffineSubspace.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) Q (AffineSubspace.setLike.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6))))) s))
+but is expected to have type
+  forall {W : Type.{u2}} {Q : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u2} W] [_inst_5 : MetricSpace.{u1} Q] [_inst_6 : NormedAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5)] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4)] (s : AffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)), Iff (IsClosed.{u2} W (UniformSpace.toTopologicalSpace.{u2} W (PseudoMetricSpace.toUniformSpace.{u2} W (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} W (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4)))) (SetLike.coe.{u2, u2} (Submodule.{u3, u2} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} W (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9)) W (Submodule.setLike.{u3, u2} 𝕜 W (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (AddCommGroup.toAddCommMonoid.{u2} W (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9)) (AffineSubspace.direction.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6) s))) (IsClosed.{u1} Q (UniformSpace.toTopologicalSpace.{u1} Q (PseudoMetricSpace.toUniformSpace.{u1} Q (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5))) (SetLike.coe.{u1, u1} (AffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)) Q (AffineSubspace.instSetLikeAffineSubspace.{u3, u2, u1} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u2} W _inst_4) (NormedSpace.toModule.{u3, u2} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u2, u1} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} Q _inst_5) _inst_6)) s))
+Case conversion may be inaccurate. Consider using '#align affine_subspace.is_closed_direction_iff AffineSubspace.isClosed_direction_iffₓ'. -/
 theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
     IsClosed (s.direction : Set W) ↔ IsClosed (s : Set Q) :=
   by
@@ -47,17 +53,35 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
 
 include V
 
+/- warning: dist_center_homothety -> dist_center_homothety is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align dist_center_homothety dist_center_homothetyₓ'. -/
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
   simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
+/- warning: dist_homothety_center -> dist_homothety_center is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align dist_homothety_center dist_homothety_centerₓ'. -/
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
 #align dist_homothety_center dist_homothety_center
 
+/- warning: dist_line_map_line_map -> dist_lineMap_lineMap is a dubious translation:
+lean 3 declaration is
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_inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Dist.dist.{u2} 𝕜 (PseudoMetricSpace.toDist.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) c₁ c₂) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_line_map_line_map dist_lineMap_lineMapₓ'. -/
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ :=
@@ -67,37 +91,75 @@ theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     vsub_eq_sub]
 #align dist_line_map_line_map dist_lineMap_lineMap
 
+#print lipschitzWith_lineMap /-
 theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂) (lineMap p₁ p₂ : 𝕜 → P) :=
   LipschitzWith.of_dist_le_mul fun c₁ c₂ =>
     ((dist_lineMap_lineMap p₁ p₂ c₁ c₂).trans (mul_comm _ _)).le
 #align lipschitz_with_line_map lipschitzWith_lineMap
+-/
 
+/- warning: dist_line_map_left -> dist_lineMap_left is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align dist_line_map_left dist_lineMap_leftₓ'. -/
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
   simpa only [line_map_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
 #align dist_line_map_left dist_lineMap_left
 
+/- warning: dist_left_line_map -> dist_left_lineMap is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) c) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) c) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_left_line_map dist_left_lineMapₓ'. -/
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_left _ _ _)
 #align dist_left_line_map dist_left_lineMap
 
+/- warning: dist_line_map_right -> dist_lineMap_right is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) (PseudoMetricSpace.toDist.{u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) c) _inst_2) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => P) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (HSub.hSub.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHSub.{u2} 𝕜 (Ring.toSub.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_line_map_right dist_lineMap_rightₓ'. -/
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ :=
   by simpa only [line_map_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1
 #align dist_line_map_right dist_lineMap_right
 
+/- warning: dist_right_line_map -> dist_right_lineMap is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => 𝕜 -> P) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) c)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align dist_right_line_map dist_right_lineMapₓ'. -/
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
 
+/- warning: dist_homothety_self -> dist_homothety_self is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align dist_homothety_self dist_homothety_selfₓ'. -/
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_line_map, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
 
+/- warning: dist_self_homothety -> dist_self_homothety is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) => P -> P) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 V P V P (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u3, u1, u2} 𝕜 V P (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (HSub.hSub.{u3, u3, u3} 𝕜 𝕜 𝕜 (instHSub.{u3} 𝕜 (SubNegMonoid.toHasSub.{u3} 𝕜 (AddGroup.toSubNegMonoid.{u3} 𝕜 (NormedAddGroup.toAddGroup.{u3} 𝕜 (NormedAddCommGroup.toNormedAddGroup.{u3} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u3} 𝕜 (NormedRing.toNonUnitalNormedRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))) c)) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u2}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u2} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u2, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u1}} [_inst_7 : NormedField.{u1} 𝕜] [_inst_8 : NormedSpace.{u1, u2} 𝕜 V _inst_7 _inst_1] (p₁ : P) (p₂ : P) (c : 𝕜), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u3} (AffineMap.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) P (fun (_x : P) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : P) => P) _x) (AffineMap.funLike.{u1, u2, u3, u2, u3} 𝕜 V P V P (CommRing.toRing.{u1} 𝕜 (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3)) (AffineMap.homothety.{u1, u2, u3} 𝕜 V P (EuclideanDomain.toCommRing.{u1} 𝕜 (Field.toEuclideanDomain.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_7))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V _inst_1) (NormedAddTorsor.toAddTorsor.{u2, u3} V P _inst_1 _inst_2 _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 V _inst_7 _inst_1 _inst_8) p₁ c) p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_7) (HSub.hSub.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHSub.{u1} 𝕜 (Ring.toSub.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))) (OfNat.ofNat.{u1} 𝕜 1 (One.toOfNat1.{u1} 𝕜 (NonAssocRing.toOne.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_7))))))) c)) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_self_homothety dist_self_homothetyₓ'. -/
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
@@ -107,26 +169,56 @@ section invertibleTwo
 
 variable [Invertible (2 : 𝕜)]
 
+/- warning: dist_left_midpoint -> dist_left_midpoint is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_left_midpoint dist_left_midpointₓ'. -/
 @[simp]
 theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [midpoint, dist_comm, dist_lineMap_left, invOf_eq_inv, ← norm_inv]
 #align dist_left_midpoint dist_left_midpoint
 
+/- warning: dist_midpoint_left -> dist_midpoint_left is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₁) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_midpoint_left dist_midpoint_leftₓ'. -/
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_left_midpoint]
 #align dist_midpoint_left dist_midpoint_left
 
+/- warning: dist_midpoint_right -> dist_midpoint_right is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) p₂) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_midpoint_right dist_midpoint_rightₓ'. -/
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [midpoint_comm, dist_midpoint_left, dist_comm]
 #align dist_midpoint_right dist_midpoint_right
 
+/- warning: dist_right_midpoint -> dist_right_midpoint is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₂))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P), Eq.{1} Real (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₂))
+Case conversion may be inaccurate. Consider using '#align dist_right_midpoint dist_right_midpointₓ'. -/
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) : dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ :=
   by rw [dist_comm, dist_midpoint_right]
 #align dist_right_midpoint dist_right_midpoint
 
+/- warning: dist_midpoint_midpoint_le' -> dist_midpoint_midpoint_le' is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} {P : Type.{u2}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u2} P] [_inst_3 : NormedAddTorsor.{u1, u2} V P _inst_1 _inst_2] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_8 : NormedSpace.{u3, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u3} 𝕜 (Distrib.toHasMul.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.hasLe (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u3, u1, u2} 𝕜 V P (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u3, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u2} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₁ p₃) (Dist.dist.{u2} P (PseudoMetricSpace.toHasDist.{u2} P _inst_2) p₂ p₄)) (Norm.norm.{u3} 𝕜 (NormedField.toHasNorm.{u3} 𝕜 _inst_7) (OfNat.ofNat.{u3} 𝕜 2 (OfNat.mk.{u3} 𝕜 2 (bit0.{u3} 𝕜 (Distrib.toHasAdd.{u3} 𝕜 (Ring.toDistrib.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))))))))))
+but is expected to have type
+  forall {V : Type.{u1}} {P : Type.{u3}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_2 : PseudoMetricSpace.{u3} P] [_inst_3 : NormedAddTorsor.{u1, u3} V P _inst_1 _inst_2] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_8 : NormedSpace.{u2, u1} 𝕜 V _inst_7 _inst_1] [_inst_10 : Invertible.{u2} 𝕜 (NonUnitalNonAssocRing.toMul.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))] (p₁ : P) (p₂ : P) (p₃ : P) (p₄ : P), LE.le.{0} Real Real.instLEReal (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₁ p₂) (midpoint.{u2, u1, u3} 𝕜 V P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) _inst_10 (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{u2, u1} 𝕜 V _inst_7 _inst_1 _inst_8) (NormedAddTorsor.toAddTorsor.{u1, u3} V P _inst_1 _inst_2 _inst_3) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₁ p₃) (Dist.dist.{u3} P (PseudoMetricSpace.toDist.{u3} P _inst_2) p₂ p₄)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_7) (OfNat.ofNat.{u2} 𝕜 2 (instOfNat.{u2} 𝕜 2 (NonAssocRing.toNatCast.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))))) (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))))))
+Case conversion may be inaccurate. Consider using '#align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'ₓ'. -/
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ :=
   by
@@ -142,6 +234,12 @@ omit V
 
 include W
 
+/- warning: antilipschitz_with_line_map -> antilipschitzWith_lineMap is a dubious translation:
+lean 3 declaration is
+  forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] {𝕜 : Type.{u3}} [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u2} Q p₁ p₂) -> (AntilipschitzWith.{u3, u2} 𝕜 Q (PseudoMetricSpace.toPseudoEMetricSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)) (Inv.inv.{0} NNReal (DivInvMonoid.toHasInv.{0} NNReal (GroupWithZero.toDivInvMonoid.{0} NNReal (DivisionSemiring.toGroupWithZero.{0} NNReal (Semifield.toDivisionSemiring.{0} NNReal (LinearOrderedSemifield.toSemifield.{0} NNReal (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{0} NNReal NNReal.canonicallyLinearOrderedSemifield)))))) (NNDist.nndist.{u2} Q (PseudoMetricSpace.toNNDist.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)) p₁ p₂)) (coeFn.{max (succ u3) (succ u1) (succ u2), max (succ u3) (succ u2)} (AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => 𝕜 -> Q) (AffineMap.hasCoeToFun.{u3, u3, u3, u1, u2} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NonUnitalNonAssocRing.toAddCommGroup.{u3} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (Semiring.toModule.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))) (addGroupIsAddTorsor.{u3} 𝕜 (AddGroupWithOne.toAddGroup.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.lineMap.{u3, u1, u2} 𝕜 W Q (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) p₁ p₂)))
+but is expected to have type
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] {𝕜 : Type.{u2}} [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] {p₁ : Q} {p₂ : Q}, (Ne.{succ u3} Q p₁ p₂) -> (AntilipschitzWith.{u2, u3} 𝕜 Q (EMetricSpace.toPseudoEMetricSpace.{u2} 𝕜 (MetricSpace.toEMetricSpace.{u2} 𝕜 (NormedField.toMetricSpace.{u2} 𝕜 _inst_7))) (EMetricSpace.toPseudoEMetricSpace.{u3} Q (MetricSpace.toEMetricSpace.{u3} Q _inst_5)) (Inv.inv.{0} NNReal (CanonicallyLinearOrderedSemifield.toInv.{0} NNReal NNReal.instCanonicallyLinearOrderedSemifieldNNReal) (NNDist.nndist.{u3} Q (PseudoMetricSpace.toNNDist.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)) p₁ p₂)) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) 𝕜 (fun (_x : 𝕜) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : 𝕜) => Q) _x) (AffineMap.funLike.{u2, u2, u2, u1, u3} 𝕜 𝕜 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (Ring.toAddCommGroup.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))) (addGroupIsAddTorsor.{u2} 𝕜 (AddGroupWithOne.toAddGroup.{u2} 𝕜 (Ring.toAddGroupWithOne.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.lineMap.{u2, u1, u3} 𝕜 W Q (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) p₁ p₂)))
+Case conversion may be inaccurate. Consider using '#align antilipschitz_with_line_map antilipschitzWith_lineMapₓ'. -/
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=
   AntilipschitzWith.of_le_mul_dist fun c₁ c₂ => by
@@ -151,6 +249,12 @@ theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
 
 variable (𝕜)
 
+/- warning: eventually_homothety_mem_of_mem_interior -> eventually_homothety_mem_of_mem_interior is a dubious translation:
+lean 3 declaration is
+  forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {y : Q}, (Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) y (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => Membership.Mem.{u2, u2} Q (Set.{u2} Q) (Set.hasMem.{u2} Q) (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
+but is expected to have type
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {y : Q}, (Membership.mem.{u3, u3} Q (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) y (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => Membership.mem.{u3, u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) y) (Set.{u3} Q) (Set.instMembershipSet.{u3} Q) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ) y) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))))))
+Case conversion may be inaccurate. Consider using '#align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interiorₓ'. -/
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s :=
   by
@@ -166,6 +270,12 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 
+/- warning: eventually_homothety_image_subset_of_finite_subset_interior -> eventually_homothety_image_subset_of_finite_subset_interior is a dubious translation:
+lean 3 declaration is
+  forall {W : Type.{u1}} {Q : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u2} Q] [_inst_6 : NormedAddTorsor.{u1, u2} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5)] (𝕜 : Type.{u3}) [_inst_7 : NormedField.{u3} 𝕜] [_inst_9 : NormedSpace.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u2} Q} {t : Set.{u2} Q}, (Set.Finite.{u2} Q t) -> (HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) t (interior.{u2} Q (UniformSpace.toTopologicalSpace.{u2} Q (PseudoMetricSpace.toUniformSpace.{u2} Q (MetricSpace.toPseudoMetricSpace.{u2} Q _inst_5))) s)) -> (Filter.Eventually.{u3} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u2} (Set.{u2} Q) (Set.hasSubset.{u2} Q) (Set.image.{u2, u2} Q Q (coeFn.{max (succ u1) (succ u2), succ u2} (AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (fun (_x : AffineMap.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) => Q -> Q) (AffineMap.hasCoeToFun.{u3, u1, u2, u1, u2} 𝕜 W Q W Q (CommRing.toRing.{u3} 𝕜 (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6)) (AffineMap.homothety.{u3, u1, u2} 𝕜 W Q (SeminormedCommRing.toCommRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor'.{u1, u2} W Q _inst_4 _inst_5 _inst_6) (NormedSpace.toModule.{u3, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u3} 𝕜 (UniformSpace.toTopologicalSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7)))))) (OfNat.ofNat.{u3} 𝕜 1 (OfNat.mk.{u3} 𝕜 1 (One.one.{u3} 𝕜 (AddMonoidWithOne.toOne.{u3} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜 (Ring.toAddCommGroupWithOne.{u3} 𝕜 (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 _inst_7))))))))))))
+but is expected to have type
+  forall {W : Type.{u1}} {Q : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u1} W] [_inst_5 : MetricSpace.{u3} Q] [_inst_6 : NormedAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5)] (𝕜 : Type.{u2}) [_inst_7 : NormedField.{u2} 𝕜] [_inst_9 : NormedSpace.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4)] (x : Q) {s : Set.{u3} Q} {t : Set.{u3} Q}, (Set.Finite.{u3} Q t) -> (HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) t (interior.{u3} Q (UniformSpace.toTopologicalSpace.{u3} Q (PseudoMetricSpace.toUniformSpace.{u3} Q (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5))) s)) -> (Filter.Eventually.{u2} 𝕜 (fun (δ : 𝕜) => HasSubset.Subset.{u3} (Set.{u3} Q) (Set.instHasSubsetSet.{u3} Q) (Set.image.{u3, u3} Q Q (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u3} (AffineMap.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) Q (fun (_x : Q) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : Q) => Q) _x) (AffineMap.funLike.{u2, u1, u3, u1, u3} 𝕜 W Q W Q (CommRing.toRing.{u2} 𝕜 (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7)))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6)) (AffineMap.homothety.{u2, u1, u3} 𝕜 W Q (EuclideanDomain.toCommRing.{u2} 𝕜 (Field.toEuclideanDomain.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_7))) (NormedAddCommGroup.toAddCommGroup.{u1} W _inst_4) (NormedAddTorsor.toAddTorsor.{u1, u3} W Q (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) (MetricSpace.toPseudoMetricSpace.{u3} Q _inst_5) _inst_6) (NormedSpace.toModule.{u2, u1} 𝕜 W _inst_7 (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} W _inst_4) _inst_9) x δ)) t) s) (nhds.{u2} 𝕜 (UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_7)))))))))
+Case conversion may be inaccurate. Consider using '#align eventually_homothety_image_subset_of_finite_subset_interior eventually_homothety_image_subset_of_finite_subset_interiorₓ'. -/
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s :=
   by
@@ -181,6 +291,12 @@ end NormedSpace
 
 variable [NormedSpace ℝ V] [NormedSpace ℝ W]
 
+/- warning: dist_midpoint_midpoint_le -> dist_midpoint_midpoint_le is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_7 : NormedSpace.{0, u1} Real V Real.normedField _inst_1] (p₁ : V) (p₂ : V) (p₃ : V) (p₄ : V), LE.le.{0} Real Real.hasLe (Dist.dist.{u1} V (PseudoMetricSpace.toHasDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) (midpoint.{0, u1, u1} Real V V Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{0, u1} Real V Real.normedField _inst_1 _inst_7) (addGroupIsAddTorsor.{u1} V (SeminormedAddGroup.toAddGroup.{u1} V (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} V _inst_1))) p₁ p₂) (midpoint.{0, u1, u1} Real V V Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{0, u1} Real V Real.normedField _inst_1 _inst_7) (addGroupIsAddTorsor.{u1} V (SeminormedAddGroup.toAddGroup.{u1} V (SeminormedAddCommGroup.toSeminormedAddGroup.{u1} V _inst_1))) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (Dist.dist.{u1} V (PseudoMetricSpace.toHasDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) p₁ p₃) (Dist.dist.{u1} V (PseudoMetricSpace.toHasDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) p₂ p₄)) (OfNat.ofNat.{0} Real 2 (OfNat.mk.{0} Real 2 (bit0.{0} Real Real.hasAdd (One.one.{0} Real Real.hasOne)))))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_1 : SeminormedAddCommGroup.{u1} V] [_inst_7 : NormedSpace.{0, u1} Real V Real.normedField _inst_1] (p₁ : V) (p₂ : V) (p₃ : V) (p₄ : V), LE.le.{0} Real Real.instLEReal (Dist.dist.{u1} V (PseudoMetricSpace.toDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) (midpoint.{0, u1, u1} Real V V Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{0, u1} Real V Real.normedField _inst_1 _inst_7) (NormedAddTorsor.toAddTorsor.{u1, u1} V V _inst_1 (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1) (SeminormedAddCommGroup.toNormedAddTorsor.{u1} V _inst_1)) p₁ p₂) (midpoint.{0, u1, u1} Real V V Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (SeminormedAddCommGroup.toAddCommGroup.{u1} V _inst_1) (NormedSpace.toModule.{0, u1} Real V Real.normedField _inst_1 _inst_7) (NormedAddTorsor.toAddTorsor.{u1, u1} V V _inst_1 (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1) (SeminormedAddCommGroup.toNormedAddTorsor.{u1} V _inst_1)) p₃ p₄)) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (Dist.dist.{u1} V (PseudoMetricSpace.toDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) p₁ p₃) (Dist.dist.{u1} V (PseudoMetricSpace.toDist.{u1} V (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} V _inst_1)) p₂ p₄)) (OfNat.ofNat.{0} Real 2 (instOfNat.{0} Real 2 Real.natCast (instAtLeastTwoHAddNatInstHAddInstAddNatOfNat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))))))
+Case conversion may be inaccurate. Consider using '#align dist_midpoint_midpoint_le dist_midpoint_midpoint_leₓ'. -/
 theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     dist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / 2 := by
   simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄
@@ -188,6 +304,7 @@ theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
 
 include V W
 
+#print AffineMap.ofMapMidpoint /-
 /-- A continuous map between two normed affine spaces is an affine map provided that
 it sends midpoints to midpoints. -/
 def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = midpoint ℝ (f x) (f y))
@@ -201,4 +318,5 @@ def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = m
         apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id] ))
     (Classical.arbitrary P) fun p => by simp
 #align affine_map.of_map_midpoint AffineMap.ofMapMidpoint
+-/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

@@ -4,13 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit 78261225eb5cedc61c5c74ecb44e5b385d13b733
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Basic
 import Mathbin.Analysis.Normed.Group.AddTorsor
-import Mathbin.LinearAlgebra.AffineSpace.Midpoint
+import Mathbin.LinearAlgebra.AffineSpace.MidpointZero
 import Mathbin.LinearAlgebra.AffineSpace.AffineSubspace
 import Mathbin.Topology.Instances.RealVectorSpace
 

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

@@ -272,9 +272,7 @@ variable [NormedSpace ℝ V] [NormedSpace ℝ W]
 
 theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     dist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / 2 := by
-  -- Porting note: was `simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄`
-  have := dist_midpoint_midpoint_le' (𝕜 := ℝ) p₁ p₂ p₃ p₄
-  simpa using this
+  simpa using dist_midpoint_midpoint_le' (𝕜 := ℝ) p₁ p₂ p₃ p₄
 #align dist_midpoint_midpoint_le dist_midpoint_midpoint_le
 
 theorem nndist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -44,9 +44,7 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
-  -- porting note (#10745): was `simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]`
-  rw [homothety_def, dist_eq_norm_vsub V]
-  simp [norm_smul, ← dist_eq_norm_vsub V, dist_comm]
+  simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
 @[simp]
@@ -276,8 +274,7 @@ theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
     dist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / 2 := by
   -- Porting note: was `simpa using dist_midpoint_midpoint_le' p₁ p₂ p₃ p₄`
   have := dist_midpoint_midpoint_le' (𝕜 := ℝ) p₁ p₂ p₃ p₄
-  rw [Real.norm_eq_abs, abs_two] at this
-  exact this
+  simpa using this
 #align dist_midpoint_midpoint_le dist_midpoint_midpoint_le
 
 theorem nndist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :

In all cases, the original proof works now. I presume this is due to simp changes in Lean 4.7, but haven't verified.

@@ -70,10 +70,8 @@ theorem nndist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ := by
   rw [dist_comm p₁ p₂]
-  -- Porting note: was `simp only [lineMap_apply, dist_eq_norm_vsub, vadd_vsub_vadd_cancel_right,`
-  -- `← sub_smul, norm_smul, vsub_eq_sub]`
-  rw [lineMap_apply, lineMap_apply, dist_eq_norm_vsub V, vadd_vsub_vadd_cancel_right,
-    ← sub_smul, norm_smul, ← vsub_eq_sub, ← dist_eq_norm_vsub V, ← dist_eq_norm_vsub 𝕜]
+  simp only [lineMap_apply, dist_eq_norm_vsub, vadd_vsub_vadd_cancel_right,
+    ← sub_smul, norm_smul, vsub_eq_sub]
 #align dist_line_map_line_map dist_lineMap_lineMap
 
 @[simp]
@@ -89,9 +87,7 @@ theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂)
 
 @[simp]
 theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c) p₁ = ‖c‖ * dist p₁ p₂ := by
-  -- Porting note: was
-  -- simpa only [lineMap_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
-  rw [← dist_zero_right, ← dist_lineMap_lineMap, lineMap_apply_zero]
+  simpa only [lineMap_apply_zero, dist_zero_right] using dist_lineMap_lineMap p₁ p₂ c 0
 #align dist_line_map_left dist_lineMap_left
 
 @[simp]
@@ -114,9 +110,7 @@ theorem nndist_left_lineMap (p₁ p₂ : P) (c : 𝕜) :
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
     dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
-  -- Porting note: was
-  -- `simpa only [lineMap_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1`
-  rw [← dist_eq_norm', ← dist_lineMap_lineMap, lineMap_apply_one]
+  simpa only [lineMap_apply_one, dist_eq_norm'] using dist_lineMap_lineMap p₁ p₂ c 1
 #align dist_line_map_right dist_lineMap_right
 
 @[simp]

I removed some of the tactics that were not used and are hopefully uncontroversial arising from the linter at #11308.

As the commit messages should convey, the removed tactics are, essentially,

push_cast
norm_cast
congr
norm_num
dsimp
funext
intro
infer_instance

@@ -212,7 +212,6 @@ theorem nndist_right_midpoint (p₁ p₂ : P) :
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ := by
   rw [dist_eq_norm_vsub V, dist_eq_norm_vsub V, dist_eq_norm_vsub V, midpoint_vsub_midpoint]
-  try infer_instance
   rw [midpoint_eq_smul_add, norm_smul, invOf_eq_inv, norm_inv, ← div_eq_inv_mul]
   exact div_le_div_of_nonneg_right (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'

The new names and argument orders match the corresponding * lemmas, which I already took care of in a previous PR.

From LeanAPAP

@@ -214,7 +214,7 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   rw [dist_eq_norm_vsub V, dist_eq_norm_vsub V, dist_eq_norm_vsub V, midpoint_vsub_midpoint]
   try infer_instance
   rw [midpoint_eq_smul_add, norm_smul, invOf_eq_inv, norm_inv, ← div_eq_inv_mul]
-  exact div_le_div_of_le (norm_nonneg _) (norm_add_le _ _)
+  exact div_le_div_of_nonneg_right (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
 
 theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -300,7 +300,8 @@ def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = m
   AffineMap.mk' f (↑((AddMonoidHom.ofMapMidpoint ℝ ℝ
     ((AffineEquiv.vaddConst ℝ (f <| c)).symm ∘ f ∘ AffineEquiv.vaddConst ℝ c) (by simp)
     fun x y => by -- Porting note: was `by simp [h]`
-      simp only [Function.comp_apply, AffineEquiv.vaddConst_apply, AffineEquiv.vaddConst_symm_apply]
+      simp only [c, Function.comp_apply, AffineEquiv.vaddConst_apply,
+        AffineEquiv.vaddConst_symm_apply]
       conv_lhs => rw [(midpoint_self ℝ (Classical.arbitrary P)).symm, midpoint_vadd_midpoint, h, h,
           midpoint_vsub_midpoint]).toRealLinearMap <| by
         apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id]))

Classifies by adding issue number (#10745) to porting notes claiming was simp.

@@ -44,7 +44,7 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
-  -- Porting note: was `simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]`
+  -- porting note (#10745): was `simp [homothety_def, norm_smul, ← dist_eq_norm_vsub, dist_comm]`
   rw [homothety_def, dist_eq_norm_vsub V]
   simp [norm_smul, ← dist_eq_norm_vsub V, dist_comm]
 #align dist_center_homothety dist_center_homothety

@@ -306,3 +306,37 @@ def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = m
         apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id]))
     c fun p => by simp
 #align affine_map.of_map_midpoint AffineMap.ofMapMidpoint
+
+end
+
+section
+
+open Dilation
+
+variable {𝕜 E : Type*} [NormedDivisionRing 𝕜] [SeminormedAddCommGroup E]
+variable [Module 𝕜 E] [BoundedSMul 𝕜 E] {P : Type*} [PseudoMetricSpace P] [NormedAddTorsor E P]
+
+-- TODO: define `ContinuousAffineEquiv` and reimplement this as one of those.
+/-- Scaling by an element `k` of the scalar ring as a `DilationEquiv` with ratio `‖k‖₊`, mapping
+from a normed space to a normed torsor over that space sending `0` to `c`. -/
+@[simps]
+def DilationEquiv.smulTorsor (c : P) {k : 𝕜} (hk : k ≠ 0) : E ≃ᵈ P where
+  toFun := (k • · +ᵥ c)
+  invFun := k⁻¹ • (· -ᵥ c)
+  left_inv x := by simp [inv_smul_smul₀ hk]
+  right_inv p := by simp [smul_inv_smul₀ hk]
+  edist_eq' := ⟨‖k‖₊, nnnorm_ne_zero_iff.mpr hk, fun x y ↦ by
+    rw [show edist (k • x +ᵥ c) (k • y +ᵥ c) = _ from (IsometryEquiv.vaddConst c).isometry ..]
+    exact edist_smul₀ ..⟩
+
+@[simp]
+lemma DilationEquiv.smulTorsor_ratio {c : P} {k : 𝕜} (hk : k ≠ 0) {x y : E}
+    (h : dist x y ≠ 0) : ratio (smulTorsor c hk) = ‖k‖₊ :=
+  Eq.symm <| ratio_unique_of_dist_ne_zero h <| by simp [dist_eq_norm, ← smul_sub, norm_smul]
+
+@[simp]
+lemma DilationEquiv.smulTorsor_preimage_ball {c : P} {k : 𝕜} (hk : k ≠ 0) :
+    smulTorsor c hk ⁻¹' (Metric.ball c ‖k‖) = Metric.ball (0 : E) 1 := by
+  aesop (add simp norm_smul)
+
+end

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -3,9 +3,9 @@ Copyright (c) 2020 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 -/
+import Mathlib.Algebra.CharP.Invertible
 import Mathlib.Analysis.NormedSpace.Basic
 import Mathlib.Analysis.Normed.Group.AddTorsor
-import Mathlib.LinearAlgebra.AffineSpace.MidpointZero
 import Mathlib.LinearAlgebra.AffineSpace.AffineSubspace
 import Mathlib.Topology.Instances.RealVectorSpace
 

This was noticed in the discussion around #9393.

@@ -214,7 +214,7 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   rw [dist_eq_norm_vsub V, dist_eq_norm_vsub V, dist_eq_norm_vsub V, midpoint_vsub_midpoint]
   try infer_instance
   rw [midpoint_eq_smul_add, norm_smul, invOf_eq_inv, norm_inv, ← div_eq_inv_mul]
-  exact div_le_div_of_le_of_nonneg (norm_add_le _ _) (norm_nonneg _)
+  exact div_le_div_of_le (norm_nonneg _) (norm_add_le _ _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
 
 theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :

I literally went through and regex'd some uses of cases', replacing them with rcases; this is meant to be a low effort PR as I hope that tools can do this in the future.

rcases is an easier replacement than cases, though with better tools we could in future do a second pass converting simple rcases added here (and existing ones) to cases.

@@ -255,7 +255,7 @@ variable (𝕜)
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s := by
   rw [(NormedAddCommGroup.nhds_basis_norm_lt (1 : 𝕜)).eventually_iff]
-  cases' eq_or_ne y x with h h
+  rcases eq_or_ne y x with h | h
   · use 1
     simp [h.symm, interior_subset hy]
   have hxy : 0 < ‖y -ᵥ x‖ := by rwa [norm_pos_iff, vsub_ne_zero]

This didn't actually work with simp, as the RHS needs a 𝕜 that can't be guessed.

@@ -232,14 +232,16 @@ end invertibleTwo
     dist p (Equiv.pointReflection p q) = dist p q :=
   (dist_comm _ _).trans (dist_pointReflection_left _ _)
 
-@[simp] theorem dist_pointReflection_right (p q : P) :
+variable (𝕜) in
+theorem dist_pointReflection_right (p q : P) :
     dist (Equiv.pointReflection p q) q = ‖(2 : 𝕜)‖ * dist p q := by
   simp [dist_eq_norm_vsub V, Equiv.pointReflection_vsub_right (G := V),
     nsmul_eq_smul_cast 𝕜, norm_smul]
 
-@[simp] theorem dist_right_pointReflection (p q : P) :
+variable (𝕜) in
+theorem dist_right_pointReflection (p q : P) :
     dist q (Equiv.pointReflection p q) = ‖(2 : 𝕜)‖ * dist p q :=
-  (dist_comm _ _).trans (dist_pointReflection_right _ _)
+  (dist_comm _ _).trans (dist_pointReflection_right 𝕜 _ _)
 
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=

We have turned to Type* instead of Type _, but many of them remained in mathlib because the straight replacement did not work. In general, having Type _ before the colon is a code smell, though, as it hides which types should be in the same universe and which shouldn't, and is not very robust.

This PR replaces most of the remaining Type _ before the colon (except those in category theory) by Type* or Type u. This has uncovered a few bugs (where declarations were not as polymorphic as they should be).

I had to increase heartbeats at two places when replacing Type _ by Type*, but I think it's worth it as it's really more robust.

@@ -24,12 +24,12 @@ open NNReal Topology
 
 open Filter
 
-variable {α V P W Q : Type _} [SeminormedAddCommGroup V] [PseudoMetricSpace P] [NormedAddTorsor V P]
+variable {α V P W Q : Type*} [SeminormedAddCommGroup V] [PseudoMetricSpace P] [NormedAddTorsor V P]
   [NormedAddCommGroup W] [MetricSpace Q] [NormedAddTorsor W Q]
 
 section NormedSpace
 
-variable {𝕜 : Type _} [NormedField 𝕜] [NormedSpace 𝕜 V] [NormedSpace 𝕜 W]
+variable {𝕜 : Type*} [NormedField 𝕜] [NormedSpace 𝕜 V] [NormedSpace 𝕜 W]
 
 open AffineMap
 

Fixes the nonterminal simps identified by #7496

@@ -298,7 +298,7 @@ def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = m
   AffineMap.mk' f (↑((AddMonoidHom.ofMapMidpoint ℝ ℝ
     ((AffineEquiv.vaddConst ℝ (f <| c)).symm ∘ f ∘ AffineEquiv.vaddConst ℝ c) (by simp)
     fun x y => by -- Porting note: was `by simp [h]`
-      simp
+      simp only [Function.comp_apply, AffineEquiv.vaddConst_apply, AffineEquiv.vaddConst_symm_apply]
       conv_lhs => rw [(midpoint_self ℝ (Classical.arbitrary P)).symm, midpoint_vadd_midpoint, h, h,
           midpoint_vsub_midpoint]).toRealLinearMap <| by
         apply_rules [Continuous.vadd, Continuous.vsub, continuous_const, hfc.comp, continuous_id]))

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit 837f72de63ad6cd96519cde5f1ffd5ed8d280ad0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.Basic
 import Mathlib.Analysis.Normed.Group.AddTorsor
@@ -14,6 +9,8 @@ import Mathlib.LinearAlgebra.AffineSpace.MidpointZero
 import Mathlib.LinearAlgebra.AffineSpace.AffineSubspace
 import Mathlib.Topology.Instances.RealVectorSpace
 
+#align_import analysis.normed_space.add_torsor from "leanprover-community/mathlib"@"837f72de63ad6cd96519cde5f1ffd5ed8d280ad0"
+
 /-!
 # Torsors of normed space actions.
 

@@ -227,6 +227,23 @@ theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
 
 end invertibleTwo
 
+@[simp] theorem dist_pointReflection_left (p q : P) :
+    dist (Equiv.pointReflection p q) p = dist p q := by
+  simp [dist_eq_norm_vsub V, Equiv.pointReflection_vsub_left (G := V)]
+
+@[simp] theorem dist_left_pointReflection (p q : P) :
+    dist p (Equiv.pointReflection p q) = dist p q :=
+  (dist_comm _ _).trans (dist_pointReflection_left _ _)
+
+@[simp] theorem dist_pointReflection_right (p q : P) :
+    dist (Equiv.pointReflection p q) q = ‖(2 : 𝕜)‖ * dist p q := by
+  simp [dist_eq_norm_vsub V, Equiv.pointReflection_vsub_right (G := V),
+    nsmul_eq_smul_cast 𝕜, norm_smul]
+
+@[simp] theorem dist_right_pointReflection (p q : P) :
+    dist q (Equiv.pointReflection p q) = ‖(2 : 𝕜)‖ * dist p q :=
+  (dist_comm _ _).trans (dist_pointReflection_right _ _)
+
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
     AntilipschitzWith (nndist p₁ p₂)⁻¹ (lineMap p₁ p₂ : 𝕜 → Q) :=
   AntilipschitzWith.of_le_mul_dist fun c₁ c₂ => by

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.add_torsor
-! leanprover-community/mathlib commit 78261225eb5cedc61c5c74ecb44e5b385d13b733
+! leanprover-community/mathlib commit 837f72de63ad6cd96519cde5f1ffd5ed8d280ad0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -52,11 +52,23 @@ theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
   simp [norm_smul, ← dist_eq_norm_vsub V, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
+@[simp]
+theorem nndist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₁ (homothety p₁ c p₂) = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_center_homothety _ _ _
+#align nndist_center_homothety nndist_center_homothety
+
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
 #align dist_homothety_center dist_homothety_center
 
+@[simp]
+theorem nndist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
+    nndist (homothety p₁ c p₂) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_homothety_center _ _ _
+#align nndist_homothety_center nndist_homothety_center
+
 @[simp]
 theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     dist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = dist c₁ c₂ * dist p₁ p₂ := by
@@ -67,6 +79,12 @@ theorem dist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
     ← sub_smul, norm_smul, ← vsub_eq_sub, ← dist_eq_norm_vsub V, ← dist_eq_norm_vsub 𝕜]
 #align dist_line_map_line_map dist_lineMap_lineMap
 
+@[simp]
+theorem nndist_lineMap_lineMap (p₁ p₂ : P) (c₁ c₂ : 𝕜) :
+    nndist (lineMap p₁ p₂ c₁) (lineMap p₁ p₂ c₂) = nndist c₁ c₂ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_lineMap _ _ _ _
+#align nndist_line_map_line_map nndist_lineMap_lineMap
+
 theorem lipschitzWith_lineMap (p₁ p₂ : P) : LipschitzWith (nndist p₁ p₂) (lineMap p₁ p₂ : 𝕜 → P) :=
   LipschitzWith.of_dist_le_mul fun c₁ c₂ =>
     ((dist_lineMap_lineMap p₁ p₂ c₁ c₂).trans (mul_comm _ _)).le
@@ -79,11 +97,23 @@ theorem dist_lineMap_left (p₁ p₂ : P) (c : 𝕜) : dist (lineMap p₁ p₂ c
   rw [← dist_zero_right, ← dist_lineMap_lineMap, lineMap_apply_zero]
 #align dist_line_map_left dist_lineMap_left
 
+@[simp]
+theorem nndist_lineMap_left (p₁ p₂ : P) (c : 𝕜) :
+    nndist (lineMap p₁ p₂ c) p₁ = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_left _ _ _
+#align nndist_line_map_left nndist_lineMap_left
+
 @[simp]
 theorem dist_left_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₁ (lineMap p₁ p₂ c) = ‖c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_left _ _ _)
 #align dist_left_line_map dist_left_lineMap
 
+@[simp]
+theorem nndist_left_lineMap (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₁ (lineMap p₁ p₂ c) = ‖c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_left_lineMap _ _ _
+#align nndist_left_line_map nndist_left_lineMap
+
 @[simp]
 theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
     dist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
@@ -92,22 +122,46 @@ theorem dist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
   rw [← dist_eq_norm', ← dist_lineMap_lineMap, lineMap_apply_one]
 #align dist_line_map_right dist_lineMap_right
 
+@[simp]
+theorem nndist_lineMap_right (p₁ p₂ : P) (c : 𝕜) :
+    nndist (lineMap p₁ p₂ c) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_lineMap_right _ _ _
+#align nndist_line_map_right nndist_lineMap_right
+
 @[simp]
 theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖ * dist p₁ p₂ :=
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
 
+@[simp]
+theorem nndist_right_lineMap (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₂ (lineMap p₁ p₂ c) = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_right_lineMap _ _ _
+#align nndist_right_line_map nndist_right_lineMap
+
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_lineMap, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
 
+@[simp]
+theorem nndist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
+    nndist (homothety p₁ c p₂) p₂ = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_homothety_self _ _ _
+#align nndist_homothety_self nndist_homothety_self
+
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
 #align dist_self_homothety dist_self_homothety
 
+@[simp]
+theorem nndist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
+    nndist p₂ (homothety p₁ c p₂) = ‖1 - c‖₊ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_self_homothety _ _ _
+#align nndist_self_homothety nndist_self_homothety
+
 section invertibleTwo
 
 variable [Invertible (2 : 𝕜)]
@@ -117,23 +171,47 @@ theorem dist_left_midpoint (p₁ p₂ : P) : dist p₁ (midpoint 𝕜 p₁ p₂)
   rw [midpoint, dist_comm, dist_lineMap_left, invOf_eq_inv, ← norm_inv]
 #align dist_left_midpoint dist_left_midpoint
 
+@[simp]
+theorem nndist_left_midpoint (p₁ p₂ : P) :
+    nndist p₁ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_left_midpoint _ _
+#align nndist_left_midpoint nndist_left_midpoint
+
 @[simp]
 theorem dist_midpoint_left (p₁ p₂ : P) : dist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_left_midpoint]
 #align dist_midpoint_left dist_midpoint_left
 
+@[simp]
+theorem nndist_midpoint_left (p₁ p₂ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) p₁ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_midpoint_left _ _
+#align nndist_midpoint_left nndist_midpoint_left
+
 @[simp]
 theorem dist_midpoint_right (p₁ p₂ : P) :
     dist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [midpoint_comm, dist_midpoint_left, dist_comm]
 #align dist_midpoint_right dist_midpoint_right
 
+@[simp]
+theorem nndist_midpoint_right (p₁ p₂ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) p₂ = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_midpoint_right _ _
+#align nndist_midpoint_right nndist_midpoint_right
+
 @[simp]
 theorem dist_right_midpoint (p₁ p₂ : P) :
     dist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖⁻¹ * dist p₁ p₂ := by
   rw [dist_comm, dist_midpoint_right]
 #align dist_right_midpoint dist_right_midpoint
 
+@[simp]
+theorem nndist_right_midpoint (p₁ p₂ : P) :
+    nndist p₂ (midpoint 𝕜 p₁ p₂) = ‖(2 : 𝕜)‖₊⁻¹ * nndist p₁ p₂ :=
+  NNReal.eq <| dist_right_midpoint _ _
+#align nndist_right_midpoint nndist_right_midpoint
+
 theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
     dist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (dist p₁ p₃ + dist p₂ p₄) / ‖(2 : 𝕜)‖ := by
   rw [dist_eq_norm_vsub V, dist_eq_norm_vsub V, dist_eq_norm_vsub V, midpoint_vsub_midpoint]
@@ -142,6 +220,11 @@ theorem dist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
   exact div_le_div_of_le_of_nonneg (norm_add_le _ _) (norm_nonneg _)
 #align dist_midpoint_midpoint_le' dist_midpoint_midpoint_le'
 
+theorem nndist_midpoint_midpoint_le' (p₁ p₂ p₃ p₄ : P) :
+    nndist (midpoint 𝕜 p₁ p₂) (midpoint 𝕜 p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / ‖(2 : 𝕜)‖₊ :=
+  dist_midpoint_midpoint_le' _ _ _ _
+#align nndist_midpoint_midpoint_le' nndist_midpoint_midpoint_le'
+
 end invertibleTwo
 
 theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
@@ -188,6 +271,11 @@ theorem dist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
   exact this
 #align dist_midpoint_midpoint_le dist_midpoint_midpoint_le
 
+theorem nndist_midpoint_midpoint_le (p₁ p₂ p₃ p₄ : V) :
+    nndist (midpoint ℝ p₁ p₂) (midpoint ℝ p₃ p₄) ≤ (nndist p₁ p₃ + nndist p₂ p₄) / 2 :=
+  dist_midpoint_midpoint_le _ _ _ _
+#align nndist_midpoint_midpoint_le nndist_midpoint_midpoint_le
+
 /-- A continuous map between two normed affine spaces is an affine map provided that
 it sends midpoints to midpoints. -/
 def AffineMap.ofMapMidpoint (f : P → Q) (h : ∀ x y, f (midpoint ℝ x y) = midpoint ℝ (f x) (f y))

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

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

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

@@ -44,7 +44,6 @@ theorem AffineSubspace.isClosed_direction_iff (s : AffineSubspace 𝕜 Q) :
   rfl
 #align affine_subspace.is_closed_direction_iff AffineSubspace.isClosed_direction_iff
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₁ (homothety p₁ c p₂) = ‖c‖ * dist p₁ p₂ := by
@@ -53,7 +52,6 @@ theorem dist_center_homothety (p₁ p₂ : P) (c : 𝕜) :
   simp [norm_smul, ← dist_eq_norm_vsub V, dist_comm]
 #align dist_center_homothety dist_center_homothety
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem dist_homothety_center (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₁ = ‖c‖ * dist p₁ p₂ := by rw [dist_comm, dist_center_homothety]
@@ -99,14 +97,12 @@ theorem dist_right_lineMap (p₁ p₂ : P) (c : 𝕜) : dist p₂ (lineMap p₁
   (dist_comm _ _).trans (dist_lineMap_right _ _ _)
 #align dist_right_line_map dist_right_lineMap
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem dist_homothety_self (p₁ p₂ : P) (c : 𝕜) :
     dist (homothety p₁ c p₂) p₂ = ‖1 - c‖ * dist p₁ p₂ := by
   rw [homothety_eq_lineMap, dist_lineMap_right]
 #align dist_homothety_self dist_homothety_self
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 @[simp]
 theorem dist_self_homothety (p₁ p₂ : P) (c : 𝕜) :
     dist p₂ (homothety p₁ c p₂) = ‖1 - c‖ * dist p₁ p₂ := by rw [dist_comm, dist_homothety_self]
@@ -157,7 +153,6 @@ theorem antilipschitzWith_lineMap {p₁ p₂ : Q} (h : p₁ ≠ p₂) :
 
 variable (𝕜)
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy : y ∈ interior s) :
     ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s := by
   rw [(NormedAddCommGroup.nhds_basis_norm_lt (1 : 𝕜)).eventually_iff]
@@ -172,7 +167,6 @@ theorem eventually_homothety_mem_of_mem_interior (x : Q) {s : Set Q} {y : Q} (hy
   rwa [homothety_apply, Metric.mem_ball, dist_eq_norm_vsub W, vadd_vsub_eq_sub_vsub]
 #align eventually_homothety_mem_of_mem_interior eventually_homothety_mem_of_mem_interior
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 theorem eventually_homothety_image_subset_of_finite_subset_interior (x : Q) {s : Set Q} {t : Set Q}
     (ht : t.Finite) (h : t ⊆ interior s) : ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ '' t ⊆ s := by
   suffices ∀ y ∈ t, ∀ᶠ δ in 𝓝 (1 : 𝕜), homothety x δ y ∈ s by