analysis.normed_space.mazur_ulam ⟷ Mathlib.Analysis.NormedSpace.MazurUlam

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

@@ -101,9 +101,9 @@ theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midp
   have hx : e x = x := by simp
   have hy : e y = y := by simp
   have hm := e.midpoint_fixed hx hy
-  simp only [e, trans_apply] at hm 
+  simp only [e, trans_apply] at hm
   rwa [← eq_symm_apply, to_isometry_equiv_symm, point_reflection_symm, coe_to_isometry_equiv,
-    coe_to_isometry_equiv, point_reflection_self, symm_apply_eq, point_reflection_fixed_iff] at hm 
+    coe_to_isometry_equiv, point_reflection_self, symm_apply_eq, point_reflection_fixed_iff] at hm
 #align isometry_equiv.map_midpoint IsometryEquiv.map_midpoint
 -/
 

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

@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Topology.Instances.RealVectorSpace
-import Mathbin.Analysis.NormedSpace.AffineIsometry
+import Topology.Instances.RealVectorSpace
+import Analysis.NormedSpace.AffineIsometry
 
 #align_import analysis.normed_space.mazur_ulam from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/ffde2d8a6e689149e44fd95fa862c23a57f8c780

@@ -122,20 +122,20 @@ def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
 -/
 
-#print IsometryEquiv.coe_to_real_linear_equiv_of_map_zero /-
+#print IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero /-
 @[simp]
-theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
+theorem coe_toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0) = f :=
   rfl
-#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
+#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero
 -/
 
-#print IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm /-
+#print IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm /-
 @[simp]
-theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
+theorem coe_toRealLinearIsometryEquivOfMapZero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = f.symm :=
   rfl
-#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm
+#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm
 -/
 
 #print IsometryEquiv.toRealLinearIsometryEquiv /-
@@ -147,12 +147,12 @@ def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
 #align isometry_equiv.to_real_linear_isometry_equiv IsometryEquiv.toRealLinearIsometryEquiv
 -/
 
-#print IsometryEquiv.to_real_linear_equiv_apply /-
+#print IsometryEquiv.toRealLinearIsometryEquiv_apply /-
 @[simp]
-theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
+theorem toRealLinearIsometryEquiv_apply (f : E ≃ᵢ F) (x : E) :
     (f.toRealLinearIsometryEquiv : E → F) x = f x - f 0 :=
   (sub_eq_add_neg (f x) (f 0)).symm
-#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
+#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.toRealLinearIsometryEquiv_apply
 -/
 
 #print IsometryEquiv.toRealLinearIsometryEquiv_symm_apply /-

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.normed_space.mazur_ulam
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Instances.RealVectorSpace
 import Mathbin.Analysis.NormedSpace.AffineIsometry
 
+#align_import analysis.normed_space.mazur_ulam from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
 /-!
 # Mazur-Ulam Theorem
 

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

@@ -45,8 +45,7 @@ noncomputable section
 
 namespace IsometryEquiv
 
-include E
-
+#print IsometryEquiv.midpoint_fixed /-
 /-- If an isometric self-homeomorphism of a normed vector space over `ℝ` fixes `x` and `y`,
 then it fixes the midpoint of `[x, y]`. This is a lemma for a more general Mazur-Ulam theorem,
 see below. -/
@@ -93,9 +92,9 @@ theorem midpoint_fixed {x y : PE} :
   refine' fun e hx hy => dist_le_zero.1 (le_trans _ this)
   exact le_ciSup h_bdd ⟨e, hx, hy⟩
 #align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixed
+-/
 
-include F
-
+#print IsometryEquiv.map_midpoint /-
 /-- A bijective isometry sends midpoints to midpoints. -/
 theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midpoint ℝ (f x) (f y) :=
   by
@@ -109,6 +108,7 @@ theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midp
   rwa [← eq_symm_apply, to_isometry_equiv_symm, point_reflection_symm, coe_to_isometry_equiv,
     coe_to_isometry_equiv, point_reflection_self, symm_apply_eq, point_reflection_fixed_iff] at hm 
 #align isometry_equiv.map_midpoint IsometryEquiv.map_midpoint
+-/
 
 /-!
 Since `f : PE ≃ᵢ PF` sends midpoints to midpoints, it is an affine map.
@@ -116,24 +116,30 @@ We define a conversion to a `continuous_linear_equiv` first, then a conversion t
 -/
 
 
+#print IsometryEquiv.toRealLinearIsometryEquivOfMapZero /-
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
 over `ℝ` and `f 0 = 0`, then `f` is a linear isometry equivalence. -/
 def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃ₗᵢ[ℝ] F :=
   { (AddMonoidHom.ofMapMidpoint ℝ ℝ f h0 f.map_midpoint).toRealLinearMap f.Continuous, f with
     norm_map' := fun x => show ‖f x‖ = ‖x‖ by simp only [← dist_zero_right, ← h0, f.dist_eq] }
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
+-/
 
+#print IsometryEquiv.coe_to_real_linear_equiv_of_map_zero /-
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0) = f :=
   rfl
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
+-/
 
+#print IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm /-
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = f.symm :=
   rfl
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm
+-/
 
 #print IsometryEquiv.toRealLinearIsometryEquiv /-
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
@@ -144,17 +150,21 @@ def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
 #align isometry_equiv.to_real_linear_isometry_equiv IsometryEquiv.toRealLinearIsometryEquiv
 -/
 
+#print IsometryEquiv.to_real_linear_equiv_apply /-
 @[simp]
 theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
     (f.toRealLinearIsometryEquiv : E → F) x = f x - f 0 :=
   (sub_eq_add_neg (f x) (f 0)).symm
 #align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
+-/
 
+#print IsometryEquiv.toRealLinearIsometryEquiv_symm_apply /-
 @[simp]
 theorem toRealLinearIsometryEquiv_symm_apply (f : E ≃ᵢ F) (y : F) :
     (f.toRealLinearIsometryEquiv.symm : F → E) y = f.symm (y + f 0) :=
   rfl
 #align isometry_equiv.to_real_linear_isometry_equiv_symm_apply IsometryEquiv.toRealLinearIsometryEquiv_symm_apply
+-/
 
 #print IsometryEquiv.toRealAffineIsometryEquiv /-
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed add-torsors over
@@ -167,15 +177,19 @@ def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
 #align isometry_equiv.to_real_affine_isometry_equiv IsometryEquiv.toRealAffineIsometryEquiv
 -/
 
+#print IsometryEquiv.coeFn_toRealAffineIsometryEquiv /-
 @[simp]
 theorem coeFn_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : ⇑f.toRealAffineIsometryEquiv = f :=
   rfl
 #align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquiv
+-/
 
+#print IsometryEquiv.coe_toRealAffineIsometryEquiv /-
 @[simp]
 theorem coe_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) :
     f.toRealAffineIsometryEquiv.toIsometryEquiv = f := by ext; rfl
 #align isometry_equiv.coe_to_real_affine_isometry_equiv IsometryEquiv.coe_toRealAffineIsometryEquiv
+-/
 
 end IsometryEquiv
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -66,7 +66,6 @@ theorem midpoint_fixed {x y : PE} :
       dist (e z) z ≤ dist (e z) x + dist x z := dist_triangle (e z) x z
       _ = dist (e x) (e z) + dist x z := by rw [hx, dist_comm]
       _ = dist x z + dist x z := by erw [e.dist_eq x z]
-      
   -- On the other hand, consider the map `f : (E ≃ᵢ E) → (E ≃ᵢ E)`
   -- sending each `e` to `R ∘ e⁻¹ ∘ R ∘ e`, where `R` is the point reflection in the
   -- midpoint `z` of `[x, y]`.

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

@@ -55,7 +55,7 @@ theorem midpoint_fixed {x y : PE} :
   by
   set z := midpoint ℝ x y
   -- Consider the set of `e : E ≃ᵢ E` such that `e x = x` and `e y = y`
-  set s := { e : PE ≃ᵢ PE | e x = x ∧ e y = y }
+  set s := {e : PE ≃ᵢ PE | e x = x ∧ e y = y}
   haveI : Nonempty s := ⟨⟨IsometryEquiv.refl PE, rfl, rfl⟩⟩
   -- On the one hand, `e` cannot send the midpoint `z` of `[x, y]` too far
   have h_bdd : BddAbove (range fun e : s => dist (e z) z) :=

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

@@ -106,9 +106,9 @@ theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midp
   have hx : e x = x := by simp
   have hy : e y = y := by simp
   have hm := e.midpoint_fixed hx hy
-  simp only [e, trans_apply] at hm
+  simp only [e, trans_apply] at hm 
   rwa [← eq_symm_apply, to_isometry_equiv_symm, point_reflection_symm, coe_to_isometry_equiv,
-    coe_to_isometry_equiv, point_reflection_self, symm_apply_eq, point_reflection_fixed_iff] at hm
+    coe_to_isometry_equiv, point_reflection_self, symm_apply_eq, point_reflection_fixed_iff] at hm 
 #align isometry_equiv.map_midpoint IsometryEquiv.map_midpoint
 
 /-!

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

@@ -47,12 +47,6 @@ namespace IsometryEquiv
 
 include E
 
-/- warning: isometry_equiv.midpoint_fixed -> IsometryEquiv.midpoint_fixed is a dubious translation:
-lean 3 declaration is
-  forall {E : Type.{u1}} {PE : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] {x : PE} {y : PE} (e : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))), (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e x) x) -> (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e y) y) -> (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e (midpoint.{0, u1, u2} Real E PE Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor'.{u1, u2} E PE _inst_1 _inst_3 _inst_4) x y)) (midpoint.{0, u1, u2} Real E PE Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor'.{u1, u2} E PE _inst_1 _inst_3 _inst_4) x y))
-but is expected to have type
-  forall {E : Type.{u1}} {PE : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] {x : PE} {y : PE} (e : IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))), (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) x) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e x) x) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) y) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e y) y) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y)) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y)) (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y))
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixedₓ'. -/
 /-- If an isometric self-homeomorphism of a normed vector space over `ℝ` fixes `x` and `y`,
 then it fixes the midpoint of `[x, y]`. This is a lemma for a more general Mazur-Ulam theorem,
 see below. -/
@@ -103,9 +97,6 @@ theorem midpoint_fixed {x y : PE} :
 
 include F
 
-/- warning: isometry_equiv.map_midpoint -> IsometryEquiv.map_midpoint is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.map_midpoint IsometryEquiv.map_midpointₓ'. -/
 /-- A bijective isometry sends midpoints to midpoints. -/
 theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midpoint ℝ (f x) (f y) :=
   by
@@ -126,12 +117,6 @@ We define a conversion to a `continuous_linear_equiv` first, then a conversion t
 -/
 
 
-/- warning: isometry_equiv.to_real_linear_isometry_equiv_of_map_zero -> IsometryEquiv.toRealLinearIsometryEquivOfMapZero is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZeroₓ'. -/
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
 over `ℝ` and `f 0 = 0`, then `f` is a linear isometry equivalence. -/
 def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃ₗᵢ[ℝ] F :=
@@ -139,18 +124,12 @@ def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃
     norm_map' := fun x => show ‖f x‖ = ‖x‖ by simp only [← dist_zero_right, ← h0, f.dist_eq] }
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
 
-/- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zeroₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0) = f :=
   rfl
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
 
-/- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symmₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = f.symm :=
@@ -166,18 +145,12 @@ def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
 #align isometry_equiv.to_real_linear_isometry_equiv IsometryEquiv.toRealLinearIsometryEquiv
 -/
 
-/- warning: isometry_equiv.to_real_linear_equiv_apply -> IsometryEquiv.to_real_linear_equiv_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_applyₓ'. -/
 @[simp]
 theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
     (f.toRealLinearIsometryEquiv : E → F) x = f x - f 0 :=
   (sub_eq_add_neg (f x) (f 0)).symm
 #align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
 
-/- warning: isometry_equiv.to_real_linear_isometry_equiv_symm_apply -> IsometryEquiv.toRealLinearIsometryEquiv_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_isometry_equiv_symm_apply IsometryEquiv.toRealLinearIsometryEquiv_symm_applyₓ'. -/
 @[simp]
 theorem toRealLinearIsometryEquiv_symm_apply (f : E ≃ᵢ F) (y : F) :
     (f.toRealLinearIsometryEquiv.symm : F → E) y = f.symm (y + f 0) :=
@@ -195,20 +168,11 @@ def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
 #align isometry_equiv.to_real_affine_isometry_equiv IsometryEquiv.toRealAffineIsometryEquiv
 -/
 
-/- warning: isometry_equiv.coe_fn_to_real_affine_isometry_equiv -> IsometryEquiv.coeFn_toRealAffineIsometryEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coeFn_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : ⇑f.toRealAffineIsometryEquiv = f :=
   rfl
 #align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquiv
 
-/- warning: isometry_equiv.coe_to_real_affine_isometry_equiv -> IsometryEquiv.coe_toRealAffineIsometryEquiv is a dubious translation:
-lean 3 declaration is
-  forall {E : Type.{u1}} {PE : Type.{u2}} {F : Type.{u3}} {PF : Type.{u4}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MetricSpace.{u4} PF] [_inst_8 : NormedAddTorsor.{u3, u4} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7)] (f : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))), Eq.{max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (AffineIsometryEquiv.toIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8 (IsometryEquiv.toRealAffineIsometryEquiv.{u1, u2, u3, u4} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) f
-but is expected to have type
-  forall {E : Type.{u2}} {PE : Type.{u4}} {F : Type.{u1}} {PF : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : MetricSpace.{u4} PE] [_inst_4 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] [_inst_7 : MetricSpace.{u3} PF] [_inst_8 : NormedAddTorsor.{u1, u3} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7)] (f : IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))), Eq.{max (succ u4) (succ u3)} (IsometryEquiv.{u4, u3} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7))) (AffineIsometryEquiv.toIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8 (IsometryEquiv.toRealAffineIsometryEquiv.{u2, u4, u1, u3} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) f
-Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_affine_isometry_equiv IsometryEquiv.coe_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) :
     f.toRealAffineIsometryEquiv.toIsometryEquiv = f := by ext; rfl

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

@@ -96,8 +96,7 @@ theorem midpoint_fixed {x y : PE} :
     rintro ⟨e, he⟩
     simp only [Subtype.coe_mk, le_div_iff' (zero_lt_two' ℝ), ← hf_dist]
     exact le_ciSup h_bdd ⟨f e, hf_maps_to he⟩
-  replace : c ≤ 0
-  · linarith
+  replace : c ≤ 0; · linarith
   refine' fun e hx hy => dist_le_zero.1 (le_trans _ this)
   exact le_ciSup h_bdd ⟨e, hx, hy⟩
 #align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixed
@@ -212,10 +211,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_affine_isometry_equiv IsometryEquiv.coe_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) :
-    f.toRealAffineIsometryEquiv.toIsometryEquiv = f :=
-  by
-  ext
-  rfl
+    f.toRealAffineIsometryEquiv.toIsometryEquiv = f := by ext; rfl
 #align isometry_equiv.coe_to_real_affine_isometry_equiv IsometryEquiv.coe_toRealAffineIsometryEquiv
 
 end IsometryEquiv

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

@@ -105,10 +105,7 @@ theorem midpoint_fixed {x y : PE} :
 include F
 
 /- warning: isometry_equiv.map_midpoint -> IsometryEquiv.map_midpoint is a dubious translation:
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-  forall {E : Type.{u2}} {PE : Type.{u4}} {F : Type.{u1}} {PF : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : MetricSpace.{u4} PE] [_inst_4 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] [_inst_7 : MetricSpace.{u3} PF] [_inst_8 : NormedAddTorsor.{u1, u3} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7)] (f : IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) (x : PE) (y : PE), Eq.{succ u3} 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(EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE PF (IsometryEquiv.instEquivLikeIsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))))) f y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.map_midpoint IsometryEquiv.map_midpointₓ'. -/
 /-- A bijective isometry sends midpoints to midpoints. -/
 theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midpoint ℝ (f x) (f y) :=
@@ -144,10 +141,7 @@ def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
 
 /- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero is a dubious translation:
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-  forall {E : Type.{u1}} {F : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_5 : NormedAddCommGroup.{u2} F] [_inst_6 : NormedSpace.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)] (f : IsometryEquiv.{u1, u2} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (h0 : Eq.{succ u2} F (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (IsometryEquiv.{u1, u2} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zeroₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
@@ -156,10 +150,7 @@ theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
 
 /- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symmₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
@@ -177,10 +168,7 @@ def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
 -/
 
 /- warning: isometry_equiv.to_real_linear_equiv_apply -> IsometryEquiv.to_real_linear_equiv_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_applyₓ'. -/
 @[simp]
 theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
@@ -189,10 +177,7 @@ theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
 #align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
 
 /- warning: isometry_equiv.to_real_linear_isometry_equiv_symm_apply -> IsometryEquiv.toRealLinearIsometryEquiv_symm_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_isometry_equiv_symm_apply IsometryEquiv.toRealLinearIsometryEquiv_symm_applyₓ'. -/
 @[simp]
 theorem toRealLinearIsometryEquiv_symm_apply (f : E ≃ᵢ F) (y : F) :
@@ -212,10 +197,7 @@ def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
 -/
 
 /- warning: isometry_equiv.coe_fn_to_real_affine_isometry_equiv -> IsometryEquiv.coeFn_toRealAffineIsometryEquiv is a dubious translation:
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-  forall {E : Type.{u1}} {PE : Type.{u2}} {F : Type.{u3}} {PF : Type.{u4}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MetricSpace.{u4} PF] [_inst_8 : NormedAddTorsor.{u3, u4} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7)] (f : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))), Eq.{max (succ u2) (succ u4)} (PE -> PF) (coeFn.{max (succ u1) (succ u3) (succ u2) (succ u4), max (succ u2) (succ u4)} (AffineIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) (fun (_x : AffineIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) => PE -> PF) (AffineIsometryEquiv.hasCoeToFun.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) (IsometryEquiv.toRealAffineIsometryEquiv.{u1, u2, u3, u4} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (fun (_x : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) => PE -> PF) (IsometryEquiv.hasCoeToFun.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) f)
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-  forall {E : Type.{u2}} {PE : Type.{u4}} {F : Type.{u1}} {PF : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : MetricSpace.{u4} PE] [_inst_4 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] [_inst_7 : MetricSpace.{u3} PF] [_inst_8 : NormedAddTorsor.{u1, u3} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7)] (f : IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : PE), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) ᾰ) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE PF (AffineIsometryEquiv.instEquivLikeAffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8))) (IsometryEquiv.toRealAffineIsometryEquiv.{u2, u4, u1, u3} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE PF (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE PF (IsometryEquiv.instEquivLikeIsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coeFn_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : ⇑f.toRealAffineIsometryEquiv = f :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.mazur_ulam
-! leanprover-community/mathlib commit 78261225eb5cedc61c5c74ecb44e5b385d13b733
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Analysis.NormedSpace.AffineIsometry
 /-!
 # Mazur-Ulam Theorem
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Mazur-Ulam theorem states that an isometric bijection between two normed affine spaces over `ℝ` is
 affine. We formalize it in three definitions:
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

@@ -44,6 +44,12 @@ namespace IsometryEquiv
 
 include E
 
+/- warning: isometry_equiv.midpoint_fixed -> IsometryEquiv.midpoint_fixed is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {PE : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] {x : PE} {y : PE} (e : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))), (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e x) x) -> (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e y) y) -> (Eq.{succ u2} PE (coeFn.{succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) (fun (_x : IsometryEquiv.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) => PE -> PE) (IsometryEquiv.hasCoeToFun.{u2, u2} PE PE (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3))) e (midpoint.{0, u1, u2} Real E PE Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor'.{u1, u2} E PE _inst_1 _inst_3 _inst_4) x y)) (midpoint.{0, u1, u2} Real E PE Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor'.{u1, u2} E PE _inst_1 _inst_3 _inst_4) x y))
+but is expected to have type
+  forall {E : Type.{u1}} {PE : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] {x : PE} {y : PE} (e : IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))), (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) x) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e x) x) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) y) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e y) y) -> (Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y)) (FunLike.coe.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PE) _x) (EmbeddingLike.toFunLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (EquivLike.toEmbeddingLike.{succ u2, succ u2, succ u2} (IsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))) PE PE (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u2} PE PE (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toEMetricSpace.{u2} PE _inst_3))))) e (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y)) (midpoint.{0, u1, u2} Real E PE Real.instRingReal (invertibleTwo.{0} Real Real.instDivisionRingReal (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) _inst_4) x y))
+Case conversion may be inaccurate. Consider using '#align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixedₓ'. -/
 /-- If an isometric self-homeomorphism of a normed vector space over `ℝ` fixes `x` and `y`,
 then it fixes the midpoint of `[x, y]`. This is a lemma for a more general Mazur-Ulam theorem,
 see below. -/
@@ -95,6 +101,12 @@ theorem midpoint_fixed {x y : PE} :
 
 include F
 
+/- warning: isometry_equiv.map_midpoint -> IsometryEquiv.map_midpoint is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {PE : Type.{u2}} {F : Type.{u3}} {PF : Type.{u4}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MetricSpace.{u4} PF] [_inst_8 : NormedAddTorsor.{u3, u4} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7)] (f : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (x : PE) (y : PE), Eq.{succ u4} PF (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (fun (_x : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) => PE -> PF) (IsometryEquiv.hasCoeToFun.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) f (midpoint.{0, u1, u2} Real E PE Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2) (NormedAddTorsor.toAddTorsor'.{u1, u2} E PE _inst_1 _inst_3 _inst_4) x y)) (midpoint.{0, u3, u4} Real F PF Real.ring (invertibleTwo.{0} Real Real.divisionRing (StrictOrderedSemiring.to_charZero.{0} Real Real.strictOrderedSemiring)) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_5) (NormedSpace.toModule.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_6) (NormedAddTorsor.toAddTorsor'.{u3, u4} F PF _inst_5 _inst_7 _inst_8) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (fun (_x : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) => PE -> PF) (IsometryEquiv.hasCoeToFun.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) f x) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (fun (_x : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) => PE -> PF) (IsometryEquiv.hasCoeToFun.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) f y))
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+Case conversion may be inaccurate. Consider using '#align isometry_equiv.map_midpoint IsometryEquiv.map_midpointₓ'. -/
 /-- A bijective isometry sends midpoints to midpoints. -/
 theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midpoint ℝ (f x) (f y) :=
   by
@@ -115,6 +127,12 @@ We define a conversion to a `continuous_linear_equiv` first, then a conversion t
 -/
 
 
+/- warning: isometry_equiv.to_real_linear_isometry_equiv_of_map_zero -> IsometryEquiv.toRealLinearIsometryEquivOfMapZero is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZeroₓ'. -/
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
 over `ℝ` and `f 0 = 0`, then `f` is a linear isometry equivalence. -/
 def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃ₗᵢ[ℝ] F :=
@@ -122,37 +140,64 @@ def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃
     norm_map' := fun x => show ‖f x‖ = ‖x‖ by simp only [← dist_zero_right, ← h0, f.dist_eq] }
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
 
+/- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero 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 isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zeroₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0) = f :=
   rfl
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
 
+/- warning: isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm -> IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] (f : IsometryEquiv.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))) (h0 : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : E) => F) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E 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+Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symmₓ'. -/
 @[simp]
 theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = f.symm :=
   rfl
 #align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm
 
+#print IsometryEquiv.toRealLinearIsometryEquiv /-
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
 over `ℝ`, then `x ↦ f x - f 0` is a linear isometry equivalence. -/
 def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
   (f.trans (IsometryEquiv.addRight (f 0)).symm).toRealLinearIsometryEquivOfMapZero
     (by simpa only [sub_eq_add_neg] using sub_self (f 0))
 #align isometry_equiv.to_real_linear_isometry_equiv IsometryEquiv.toRealLinearIsometryEquiv
+-/
 
+/- warning: isometry_equiv.to_real_linear_equiv_apply -> IsometryEquiv.to_real_linear_equiv_apply is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {F : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_5 : NormedAddCommGroup.{u2} F] [_inst_6 : NormedSpace.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)] (f : IsometryEquiv.{u1, u2} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_5)))) (x : E), Eq.{succ u2} F (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearIsometryEquiv.{0, 0, u1, u2} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real 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+but is expected to have type
+  forall {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] (f : IsometryEquiv.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))) (x : E), Eq.{succ u1} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearIsometryEquiv.{0, 0, u2, u1} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real 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+Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_applyₓ'. -/
 @[simp]
 theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
     (f.toRealLinearIsometryEquiv : E → F) x = f x - f 0 :=
   (sub_eq_add_neg (f x) (f 0)).symm
 #align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
 
+/- warning: isometry_equiv.to_real_linear_isometry_equiv_symm_apply -> IsometryEquiv.toRealLinearIsometryEquiv_symm_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] (f : IsometryEquiv.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))) (y : F), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : F) => E) y) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (LinearIsometryEquiv.{0, 0, u1, u2} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHom.id.{0} Real 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(EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))) E F (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (IsometryEquiv.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))) E F (IsometryEquiv.instEquivLikeIsometryEquiv.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_1))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_5)))))) f (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)))))))))))
+Case conversion may be inaccurate. Consider using '#align isometry_equiv.to_real_linear_isometry_equiv_symm_apply IsometryEquiv.toRealLinearIsometryEquiv_symm_applyₓ'. -/
 @[simp]
 theorem toRealLinearIsometryEquiv_symm_apply (f : E ≃ᵢ F) (y : F) :
     (f.toRealLinearIsometryEquiv.symm : F → E) y = f.symm (y + f 0) :=
   rfl
 #align isometry_equiv.to_real_linear_isometry_equiv_symm_apply IsometryEquiv.toRealLinearIsometryEquiv_symm_apply
 
+#print IsometryEquiv.toRealAffineIsometryEquiv /-
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed add-torsors over
 normed vector spaces over `ℝ`, then `f` is an affine isometry equivalence. -/
 def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
@@ -161,12 +206,25 @@ def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
         f.trans (vaddConst (f <| Classical.arbitrary PE)).symm).toRealLinearIsometryEquiv
     (Classical.arbitrary PE) fun p => by simp
 #align isometry_equiv.to_real_affine_isometry_equiv IsometryEquiv.toRealAffineIsometryEquiv
+-/
 
+/- warning: isometry_equiv.coe_fn_to_real_affine_isometry_equiv -> IsometryEquiv.coeFn_toRealAffineIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {PE : Type.{u2}} {F : Type.{u3}} {PF : Type.{u4}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MetricSpace.{u4} PF] [_inst_8 : NormedAddTorsor.{u3, u4} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7)] (f : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))), Eq.{max (succ u2) (succ u4)} (PE -> PF) (coeFn.{max (succ u1) (succ u3) (succ u2) (succ u4), max (succ u2) (succ u4)} (AffineIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) (fun (_x : AffineIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) => PE -> PF) (AffineIsometryEquiv.hasCoeToFun.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8) (IsometryEquiv.toRealAffineIsometryEquiv.{u1, u2, u3, u4} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (fun (_x : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) => PE -> PF) (IsometryEquiv.hasCoeToFun.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) f)
+but is expected to have type
+  forall {E : Type.{u2}} {PE : Type.{u4}} {F : Type.{u1}} {PF : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : MetricSpace.{u4} PE] [_inst_4 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] [_inst_7 : MetricSpace.{u3} PF] [_inst_8 : NormedAddTorsor.{u1, u3} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7)] (f : IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))), Eq.{max (succ u4) (succ u3)} (forall (ᾰ : PE), (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) ᾰ) (FunLike.coe.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u4)) (succ u1)) (succ u3), succ u4, succ u3} (AffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8) PE PF (AffineIsometryEquiv.instEquivLikeAffineIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8))) (IsometryEquiv.toRealAffineIsometryEquiv.{u2, u4, u1, u3} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE (fun (_x : PE) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE PF (EquivLike.toEmbeddingLike.{max (succ u4) (succ u3), succ u4, succ u3} (IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))) PE PF (IsometryEquiv.instEquivLikeIsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))))) f)
+Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coeFn_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : ⇑f.toRealAffineIsometryEquiv = f :=
   rfl
 #align isometry_equiv.coe_fn_to_real_affine_isometry_equiv IsometryEquiv.coeFn_toRealAffineIsometryEquiv
 
+/- warning: isometry_equiv.coe_to_real_affine_isometry_equiv -> IsometryEquiv.coe_toRealAffineIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {PE : Type.{u2}} {F : Type.{u3}} {PF : Type.{u4}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : MetricSpace.{u2} PE] [_inst_4 : NormedAddTorsor.{u1, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u3} F] [_inst_6 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5)] [_inst_7 : MetricSpace.{u4} PF] [_inst_8 : NormedAddTorsor.{u3, u4} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7)] (f : IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))), Eq.{max (succ u2) (succ u4)} (IsometryEquiv.{u2, u4} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PF (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7))) (AffineIsometryEquiv.toIsometryEquiv.{0, u1, u3, u2, u4} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u4} PF _inst_7) _inst_4 _inst_8 (IsometryEquiv.toRealAffineIsometryEquiv.{u1, u2, u3, u4} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) f
+but is expected to have type
+  forall {E : Type.{u2}} {PE : Type.{u4}} {F : Type.{u1}} {PF : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : MetricSpace.{u4} PE] [_inst_4 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)] [_inst_5 : NormedAddCommGroup.{u1} F] [_inst_6 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5)] [_inst_7 : MetricSpace.{u3} PF] [_inst_8 : NormedAddTorsor.{u1, u3} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7)] (f : IsometryEquiv.{u4, u3} PE PF (EMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toEMetricSpace.{u4} PE _inst_3)) (EMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toEMetricSpace.{u3} PF _inst_7))), Eq.{max (succ u4) (succ u3)} (IsometryEquiv.{u4, u3} PE PF (PseudoMetricSpace.toPseudoEMetricSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3)) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} PF (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7))) (AffineIsometryEquiv.toIsometryEquiv.{0, u2, u1, u4, u3} Real E F PE PF Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_5) _inst_2 _inst_6 (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_3) (MetricSpace.toPseudoMetricSpace.{u3} PF _inst_7) _inst_4 _inst_8 (IsometryEquiv.toRealAffineIsometryEquiv.{u2, u4, u1, u3} E PE F PF _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 f)) f
+Case conversion may be inaccurate. Consider using '#align isometry_equiv.coe_to_real_affine_isometry_equiv IsometryEquiv.coe_toRealAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) :
     f.toRealAffineIsometryEquiv.toIsometryEquiv = f :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -83,14 +83,14 @@ theorem midpoint_fixed {x y : PE} :
   -- Therefore, `dist (e z) z = 0` for all `e ∈ s`.
   set c := ⨆ e : s, dist ((e : PE ≃ᵢ PE) z) z
   have : c ≤ c / 2 := by
-    apply csupᵢ_le
+    apply ciSup_le
     rintro ⟨e, he⟩
     simp only [Subtype.coe_mk, le_div_iff' (zero_lt_two' ℝ), ← hf_dist]
-    exact le_csupᵢ h_bdd ⟨f e, hf_maps_to he⟩
+    exact le_ciSup h_bdd ⟨f e, hf_maps_to he⟩
   replace : c ≤ 0
   · linarith
   refine' fun e hx hy => dist_le_zero.1 (le_trans _ this)
-  exact le_csupᵢ h_bdd ⟨e, hx, hy⟩
+  exact le_ciSup h_bdd ⟨e, hx, hy⟩
 #align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixed
 
 include F

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

@@ -4,13 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.normed_space.mazur_ulam
-! leanprover-community/mathlib commit 4b99fe0a1096dc52abe68e65107220e604ea49b2
+! 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.Topology.Instances.RealVectorSpace
 import Mathbin.Analysis.NormedSpace.AffineIsometry
-import Mathbin.LinearAlgebra.AffineSpace.Midpoint
 
 /-!
 # Mazur-Ulam Theorem

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

ball for "bounded forall" and bex for "bounded exists" are from experience very confusing abbreviations. This PR renames them to forall_mem and exists_mem in the few Set lemma names that mention them.

Also deprecate ball_image_of_ball, mem_image_elim, mem_image_elim_on since those lemmas are duplicates of the renamed lemmas (apart from argument order and implicitness, which I am also fixing by making the binder in the RHS of forall_mem_image semi-implicit), have obscure names and are completely unused.

@@ -50,7 +50,7 @@ theorem midpoint_fixed {x y : PE} :
   haveI : Nonempty s := ⟨⟨IsometryEquiv.refl PE, rfl, rfl⟩⟩
   -- On the one hand, `e` cannot send the midpoint `z` of `[x, y]` too far
   have h_bdd : BddAbove (range fun e : s => dist ((e : PE ≃ᵢ PE) z) z) := by
-    refine' ⟨dist x z + dist x z, forall_range_iff.2 <| Subtype.forall.2 _⟩
+    refine' ⟨dist x z + dist x z, forall_mem_range.2 <| Subtype.forall.2 _⟩
     rintro e ⟨hx, _⟩
     calc
       dist (e z) z ≤ dist (e z) x + dist x z := dist_triangle (e z) x z

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

@@ -64,13 +64,13 @@ theorem midpoint_fixed {x y : PE} :
   -- Note that `f` doubles the value of `dist (e z) z`
   have hf_dist : ∀ e, dist (f e z) z = 2 * dist (e z) z := by
     intro e
-    dsimp
+    dsimp [f, R]
     rw [dist_pointReflection_fixed, ← e.dist_eq, e.apply_symm_apply,
       dist_pointReflection_self_real, dist_comm]
   -- Also note that `f` maps `s` to itself
   have hf_maps_to : MapsTo f s s := by
     rintro e ⟨hx, hy⟩
-    constructor <;> simp [hx, hy, e.symm_apply_eq.2 hx.symm, e.symm_apply_eq.2 hy.symm]
+    constructor <;> simp [f, R, z, hx, hy, e.symm_apply_eq.2 hx.symm, e.symm_apply_eq.2 hy.symm]
   -- Therefore, `dist (e z) z = 0` for all `e ∈ s`.
   set c := ⨆ e : s, dist ((e : PE ≃ᵢ PE) z) z
   have : c ≤ c / 2 := by
@@ -88,10 +88,10 @@ theorem map_midpoint (f : PE ≃ᵢ PF) (x y : PE) : f (midpoint ℝ x y) = midp
   set e : PE ≃ᵢ PE :=
     ((f.trans <| (pointReflection ℝ <| midpoint ℝ (f x) (f y)).toIsometryEquiv).trans f.symm).trans
       (pointReflection ℝ <| midpoint ℝ x y).toIsometryEquiv
-  have hx : e x = x := by simp
-  have hy : e y = y := by simp
+  have hx : e x = x := by simp [e]
+  have hy : e y = y := by simp [e]
   have hm := e.midpoint_fixed hx hy
-  simp only [trans_apply] at hm
+  simp only [e, trans_apply] at hm
   rwa [← eq_symm_apply, toIsometryEquiv_symm, pointReflection_symm, coe_toIsometryEquiv,
     coe_toIsometryEquiv, pointReflection_self, symm_apply_eq, @pointReflection_fixed_iff] at hm
 #align isometry_equiv.map_midpoint IsometryEquiv.map_midpoint

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -78,8 +78,7 @@ theorem midpoint_fixed {x y : PE} :
     rintro ⟨e, he⟩
     simp only [Subtype.coe_mk, le_div_iff' (zero_lt_two' ℝ), ← hf_dist]
     exact le_ciSup h_bdd ⟨f e, hf_maps_to he⟩
-  replace : c ≤ 0
-  · linarith
+  replace : c ≤ 0 := by linarith
   refine' fun e hx hy => dist_le_zero.1 (le_trans _ this)
   exact le_ciSup h_bdd ⟨e, hx, hy⟩
 #align isometry_equiv.midpoint_fixed IsometryEquiv.midpoint_fixed

@@ -39,7 +39,6 @@ noncomputable section
 
 namespace IsometryEquiv
 
-set_option maxHeartbeats 250000 in
 /-- If an isometric self-homeomorphism of a normed vector space over `ℝ` fixes `x` and `y`,
 then it fixes the midpoint of `[x, y]`. This is a lemma for a more general Mazur-Ulam theorem,
 see below. -/
@@ -112,16 +111,16 @@ def toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) : E ≃
 #align isometry_equiv.to_real_linear_isometry_equiv_of_map_zero IsometryEquiv.toRealLinearIsometryEquivOfMapZero
 
 @[simp]
-theorem coe_to_real_linear_equiv_of_map_zero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
+theorem coe_toRealLinearIsometryEquivOfMapZero (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0) = f :=
   rfl
-#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_to_real_linear_equiv_of_map_zero
+#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero
 
 @[simp]
-theorem coe_to_real_linear_equiv_of_map_zero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
+theorem coe_toRealLinearIsometryEquivOfMapZero_symm (f : E ≃ᵢ F) (h0 : f 0 = 0) :
     ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = f.symm :=
   rfl
-#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_to_real_linear_equiv_of_map_zero_symm
+#align isometry_equiv.coe_to_real_linear_equiv_of_map_zero_symm IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm
 
 /-- **Mazur-Ulam Theorem**: if `f` is an isometric bijection between two normed vector spaces
 over `ℝ`, then `x ↦ f x - f 0` is a linear isometry equivalence. -/
@@ -131,10 +130,10 @@ def toRealLinearIsometryEquiv (f : E ≃ᵢ F) : E ≃ₗᵢ[ℝ] F :=
 #align isometry_equiv.to_real_linear_isometry_equiv IsometryEquiv.toRealLinearIsometryEquiv
 
 @[simp]
-theorem to_real_linear_equiv_apply (f : E ≃ᵢ F) (x : E) :
+theorem toRealLinearIsometryEquiv_apply (f : E ≃ᵢ F) (x : E) :
     (f.toRealLinearIsometryEquiv : E → F) x = f x - f 0 :=
   (sub_eq_add_neg (f x) (f 0)).symm
-#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.to_real_linear_equiv_apply
+#align isometry_equiv.to_real_linear_equiv_apply IsometryEquiv.toRealLinearIsometryEquiv_apply
 
 @[simp]
 theorem toRealLinearIsometryEquiv_symm_apply (f : E ≃ᵢ F) (y : F) :

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

This has nice performance benefits.

@@ -29,7 +29,7 @@ isometry, affine map, linear map
 -/
 
 
-variable {E PE F PF : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [MetricSpace PE]
+variable {E PE F PF : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [MetricSpace PE]
   [NormedAddTorsor E PE] [NormedAddCommGroup F] [NormedSpace ℝ F] [MetricSpace PF]
   [NormedAddTorsor F PF]
 
@@ -148,7 +148,7 @@ def toRealAffineIsometryEquiv (f : PE ≃ᵢ PF) : PE ≃ᵃⁱ[ℝ] PF :=
   AffineIsometryEquiv.mk' f
     ((vaddConst (Classical.arbitrary PE)).trans <|
         f.trans (vaddConst (f <| Classical.arbitrary PE)).symm).toRealLinearIsometryEquiv
-    (Classical.arbitrary PE) fun p => by simp; rw [vsub_vadd]
+    (Classical.arbitrary PE) fun p => by simp
 #align isometry_equiv.to_real_affine_isometry_equiv IsometryEquiv.toRealAffineIsometryEquiv
 
 @[simp]

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.normed_space.mazur_ulam
-! leanprover-community/mathlib commit 78261225eb5cedc61c5c74ecb44e5b385d13b733
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Instances.RealVectorSpace
 import Mathlib.Analysis.NormedSpace.AffineIsometry
 
+#align_import analysis.normed_space.mazur_ulam from "leanprover-community/mathlib"@"78261225eb5cedc61c5c74ecb44e5b385d13b733"
+
 /-!
 # Mazur-Ulam Theorem
 

I wrote a script to find lines that contain an odd number of backticks

@@ -65,7 +65,7 @@ theorem midpoint_fixed {x y : PE} :
   -- midpoint `z` of `[x, y]`.
   set R : PE ≃ᵢ PE := (pointReflection ℝ z).toIsometryEquiv
   set f : PE ≃ᵢ PE → PE ≃ᵢ PE := fun e => ((e.trans R).trans e.symm).trans R
-  -- Note that `f` doubles the value of ``dist (e z) z`
+  -- Note that `f` doubles the value of `dist (e z) z`
   have hf_dist : ∀ e, dist (f e z) z = 2 * dist (e z) z := by
     intro e
     dsimp