analysis.convex.body ⟷ Mathlib.Analysis.Convex.Body

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

@@ -3,9 +3,9 @@ Copyright (c) 2022 Paul A. Reichert. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Paul A. Reichert
 -/
-import Mathbin.Analysis.Convex.Basic
-import Mathbin.Analysis.NormedSpace.Basic
-import Mathbin.Topology.MetricSpace.HausdorffDistance
+import Analysis.Convex.Basic
+import Analysis.NormedSpace.Basic
+import Topology.MetricSpace.HausdorffDistance
 
 #align_import analysis.convex.body from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
 

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

@@ -178,16 +178,16 @@ section SeminormedAddCommGroup
 
 variable [SeminormedAddCommGroup V] [NormedSpace ℝ V] (K L : ConvexBody V)
 
-#print ConvexBody.bounded /-
-protected theorem bounded : Metric.Bounded (K : Set V) :=
+#print ConvexBody.isBounded /-
+protected theorem isBounded : Bornology.IsBounded (K : Set V) :=
   K.IsCompact.Bounded
-#align convex_body.bounded ConvexBody.bounded
+#align convex_body.bounded ConvexBody.isBounded
 -/
 
 #print ConvexBody.hausdorffEdist_ne_top /-
 theorem hausdorffEdist_ne_top {K L : ConvexBody V} : EMetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
   apply_rules [Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded, ConvexBody.nonempty,
-    ConvexBody.bounded]
+    ConvexBody.isBounded]
 #align convex_body.Hausdorff_edist_ne_top ConvexBody.hausdorffEdist_ne_top
 -/
 

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

@@ -151,7 +151,7 @@ instance : DistribMulAction ℝ (ConvexBody V)
     where
   toSMul := ConvexBody.hasSmul
   one_smul K := by ext; simp only [coe_smul, one_smul]
-  mul_smul c d K := by ext; simp only [coe_smul, mul_smul]
+  hMul_smul c d K := by ext; simp only [coe_smul, mul_smul]
   smul_add c K L := by ext; simp only [coe_smul, coe_add, smul_add]
   smul_zero c := by ext; simp only [coe_smul, coe_zero, smul_zero]
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Paul A. Reichert. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Paul A. Reichert
-
-! This file was ported from Lean 3 source module analysis.convex.body
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Convex.Basic
 import Mathbin.Analysis.NormedSpace.Basic
 import Mathbin.Topology.MetricSpace.HausdorffDistance
 
+#align_import analysis.convex.body from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
+
 /-!
 # Convex bodies
 

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

@@ -114,15 +114,19 @@ instance : AddMonoid (ConvexBody V)
   zero_add K := by ext; simp only [coe_mk, Set.image2_add, zero_add]
   add_zero K := by ext; simp only [coe_mk, Set.image2_add, add_zero]
 
+#print ConvexBody.coe_add /-
 @[simp]
 theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
   rfl
 #align convex_body.coe_add ConvexBody.coe_add
+-/
 
+#print ConvexBody.coe_zero /-
 @[simp]
 theorem coe_zero : (↑(0 : ConvexBody V) : Set V) = 0 :=
   rfl
 #align convex_body.coe_zero ConvexBody.coe_zero
+-/
 
 instance : Inhabited (ConvexBody V) :=
   ⟨0⟩
@@ -154,10 +158,12 @@ instance : DistribMulAction ℝ (ConvexBody V)
   smul_add c K L := by ext; simp only [coe_smul, coe_add, smul_add]
   smul_zero c := by ext; simp only [coe_smul, coe_zero, smul_zero]
 
+#print ConvexBody.coe_smul' /-
 @[simp]
 theorem coe_smul' (c : ℝ≥0) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl
 #align convex_body.coe_smul' ConvexBody.coe_smul'
+-/
 
 /-- The convex bodies in a fixed space $V$ form a module over the nonnegative reals.
 -/

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

@@ -38,9 +38,9 @@ convex, convex body
 -/
 
 
-open Pointwise
+open scoped Pointwise
 
-open NNReal
+open scoped NNReal
 
 variable {V : Type _}
 

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

@@ -114,17 +114,11 @@ instance : AddMonoid (ConvexBody V)
   zero_add K := by ext; simp only [coe_mk, Set.image2_add, zero_add]
   add_zero K := by ext; simp only [coe_mk, Set.image2_add, add_zero]
 
-/- warning: convex_body.coe_add -> ConvexBody.coe_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_body.coe_add ConvexBody.coe_addₓ'. -/
 @[simp]
 theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
   rfl
 #align convex_body.coe_add ConvexBody.coe_add
 
-/- warning: convex_body.coe_zero -> ConvexBody.coe_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_body.coe_zero ConvexBody.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : (↑(0 : ConvexBody V) : Set V) = 0 :=
   rfl
@@ -160,9 +154,6 @@ instance : DistribMulAction ℝ (ConvexBody V)
   smul_add c K L := by ext; simp only [coe_smul, coe_add, smul_add]
   smul_zero c := by ext; simp only [coe_smul, coe_zero, smul_zero]
 
-/- warning: convex_body.coe_smul' -> ConvexBody.coe_smul' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_body.coe_smul' ConvexBody.coe_smul'ₓ'. -/
 @[simp]
 theorem coe_smul' (c : ℝ≥0) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl

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

@@ -65,10 +65,7 @@ variable [TopologicalSpace V] [AddCommGroup V] [Module ℝ V]
 instance : SetLike (ConvexBody V) V
     where
   coe := ConvexBody.carrier
-  coe_injective' K L h := by
-    cases K
-    cases L
-    congr
+  coe_injective' K L h := by cases K; cases L; congr
 
 #print ConvexBody.convex /-
 protected theorem convex (K : ConvexBody V) : Convex ℝ (K : Set V) :=
@@ -112,16 +109,10 @@ instance : AddMonoid (ConvexBody V)
   add K L :=
     ⟨Set.image2 (· + ·) K L, K.Convex.add L.Convex, K.IsCompact.add L.IsCompact,
       K.Nonempty.add L.Nonempty⟩
-  add_assoc K L M := by
-    ext
-    simp only [coe_mk, Set.image2_add, add_assoc]
+  add_assoc K L M := by ext; simp only [coe_mk, Set.image2_add, add_assoc]
   zero := ⟨0, convex_singleton 0, isCompact_singleton, Set.singleton_nonempty 0⟩
-  zero_add K := by
-    ext
-    simp only [coe_mk, Set.image2_add, zero_add]
-  add_zero K := by
-    ext
-    simp only [coe_mk, Set.image2_add, add_zero]
+  zero_add K := by ext; simp only [coe_mk, Set.image2_add, zero_add]
+  add_zero K := by ext; simp only [coe_mk, Set.image2_add, add_zero]
 
 /- warning: convex_body.coe_add -> ConvexBody.coe_add is a dubious translation:
 <too large>
@@ -143,10 +134,7 @@ instance : Inhabited (ConvexBody V) :=
   ⟨0⟩
 
 instance : AddCommMonoid (ConvexBody V) :=
-  { ConvexBody.addMonoid with
-    add_comm := fun K L => by
-      ext
-      simp only [coe_add, add_comm] }
+  { ConvexBody.addMonoid with add_comm := fun K L => by ext; simp only [coe_add, add_comm] }
 
 end ContinuousAdd
 
@@ -167,18 +155,10 @@ variable [ContinuousAdd V]
 instance : DistribMulAction ℝ (ConvexBody V)
     where
   toSMul := ConvexBody.hasSmul
-  one_smul K := by
-    ext
-    simp only [coe_smul, one_smul]
-  mul_smul c d K := by
-    ext
-    simp only [coe_smul, mul_smul]
-  smul_add c K L := by
-    ext
-    simp only [coe_smul, coe_add, smul_add]
-  smul_zero c := by
-    ext
-    simp only [coe_smul, coe_zero, smul_zero]
+  one_smul K := by ext; simp only [coe_smul, one_smul]
+  mul_smul c d K := by ext; simp only [coe_smul, mul_smul]
+  smul_add c K L := by ext; simp only [coe_smul, coe_add, smul_add]
+  smul_zero c := by ext; simp only [coe_smul, coe_zero, smul_zero]
 
 /- warning: convex_body.coe_smul' -> ConvexBody.coe_smul' is a dubious translation:
 <too large>
@@ -196,9 +176,7 @@ instance : Module ℝ≥0 (ConvexBody V)
     ext1
     simp only [coe_smul, coe_add]
     exact Convex.add_smul K.convex (NNReal.coe_nonneg _) (NNReal.coe_nonneg _)
-  zero_smul K := by
-    ext1
-    exact Set.zero_smul_set K.nonempty
+  zero_smul K := by ext1; exact Set.zero_smul_set K.nonempty
 
 end TVS
 
@@ -237,9 +215,7 @@ theorem hausdorffDist_coe : Metric.hausdorffDist (K : Set V) L = dist K L :=
 
 #print ConvexBody.hausdorffEdist_coe /-
 @[simp, norm_cast]
-theorem hausdorffEdist_coe : EMetric.hausdorffEdist (K : Set V) L = edist K L :=
-  by
-  rw [edist_dist]
+theorem hausdorffEdist_coe : EMetric.hausdorffEdist (K : Set V) L = edist K L := by rw [edist_dist];
   exact (ENNReal.ofReal_toReal Hausdorff_edist_ne_top).symm
 #align convex_body.Hausdorff_edist_coe ConvexBody.hausdorffEdist_coe
 -/

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

@@ -124,10 +124,7 @@ instance : AddMonoid (ConvexBody V)
     simp only [coe_mk, Set.image2_add, add_zero]
 
 /- warning: convex_body.coe_add -> ConvexBody.coe_add is a dubious translation:
-lean 3 declaration is
-  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))] (K : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V 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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_body.coe_add ConvexBody.coe_addₓ'. -/
 @[simp]
 theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
@@ -135,10 +132,7 @@ theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
 #align convex_body.coe_add ConvexBody.coe_add
 
 /- warning: convex_body.coe_zero -> ConvexBody.coe_zero is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_body.coe_zero ConvexBody.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : (↑(0 : ConvexBody V) : Set V) = 0 :=
@@ -187,10 +181,7 @@ instance : DistribMulAction ℝ (ConvexBody V)
     simp only [coe_smul, coe_zero, smul_zero]
 
 /- warning: convex_body.coe_smul' -> ConvexBody.coe_smul' is a dubious translation:
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V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (ConvexBody.instAddMonoidConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_5) (NNReal.instDistribMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V 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(ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) K))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_body.coe_smul' ConvexBody.coe_smul'ₓ'. -/
 @[simp]
 theorem coe_smul' (c : ℝ≥0) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=

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: Paul A. Reichert
 
 ! This file was ported from Lean 3 source module analysis.convex.body
-! leanprover-community/mathlib commit 858a10cf68fd6c06872950fc58c4dcc68d465591
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Topology.MetricSpace.HausdorffDistance
 /-!
 # Convex bodies
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file contains the definition of the type `convex_body V`
 consisting of
 convex, compact, nonempty subsets of a real topological vector space `V`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b

@@ -41,6 +41,7 @@ open NNReal
 
 variable {V : Type _}
 
+#print ConvexBody /-
 /-- Let `V` be a real topological vector space. A subset of `V` is a convex body if and only if
 it is convex, compact, and nonempty.
 -/
@@ -50,6 +51,7 @@ structure ConvexBody (V : Type _) [TopologicalSpace V] [AddCommMonoid V] [SMul 
   is_compact' : IsCompact carrier
   nonempty' : carrier.Nonempty
 #align convex_body ConvexBody
+-/
 
 namespace ConvexBody
 
@@ -65,27 +67,37 @@ instance : SetLike (ConvexBody V) V
     cases L
     congr
 
+#print ConvexBody.convex /-
 protected theorem convex (K : ConvexBody V) : Convex ℝ (K : Set V) :=
   K.convex'
 #align convex_body.convex ConvexBody.convex
+-/
 
+#print ConvexBody.isCompact /-
 protected theorem isCompact (K : ConvexBody V) : IsCompact (K : Set V) :=
   K.is_compact'
 #align convex_body.is_compact ConvexBody.isCompact
+-/
 
+#print ConvexBody.nonempty /-
 protected theorem nonempty (K : ConvexBody V) : (K : Set V).Nonempty :=
   K.nonempty'
 #align convex_body.nonempty ConvexBody.nonempty
+-/
 
+#print ConvexBody.ext /-
 @[ext]
 protected theorem ext {K L : ConvexBody V} (h : (K : Set V) = L) : K = L :=
   SetLike.ext' h
 #align convex_body.ext ConvexBody.ext
+-/
 
+#print ConvexBody.coe_mk /-
 @[simp]
 theorem coe_mk (s : Set V) (h₁ h₂ h₃) : (mk s h₁ h₂ h₃ : Set V) = s :=
   rfl
 #align convex_body.coe_mk ConvexBody.coe_mk
+-/
 
 section ContinuousAdd
 
@@ -108,11 +120,23 @@ instance : AddMonoid (ConvexBody V)
     ext
     simp only [coe_mk, Set.image2_add, add_zero]
 
+/- warning: convex_body.coe_add -> ConvexBody.coe_add is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))] (K : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (L : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V 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(MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (Set.{u1} V) (SetLike.Set.hasCoeT.{u1, u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.setLike.{u1} V _inst_1 _inst_2 _inst_3)))) L))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))] (K : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V 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(AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.instAddConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_4)) K L)) (HAdd.hAdd.{u1, u1, u1} (Set.{u1} V) (Set.{u1} V) (Set.{u1} V) (instHAdd.{u1} (Set.{u1} V) (Set.add.{u1} V (AddZeroClass.toAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2))))))) (SetLike.coe.{u1, u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) K) (SetLike.coe.{u1, u1} (ConvexBody.{u1} V _inst_1 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_inst_3))))) V (ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) L))
+Case conversion may be inaccurate. Consider using '#align convex_body.coe_add ConvexBody.coe_addₓ'. -/
 @[simp]
 theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
   rfl
 #align convex_body.coe_add ConvexBody.coe_add
 
+/- warning: convex_body.coe_zero -> ConvexBody.coe_zero is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))], Eq.{succ u1} (Set.{u1} V) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) 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(AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.addMonoid.{u1} V _inst_1 _inst_2 _inst_3 _inst_4))))))) (OfNat.ofNat.{u1} (Set.{u1} V) 0 (OfNat.mk.{u1} (Set.{u1} V) 0 (Zero.zero.{u1} (Set.{u1} V) (Set.zero.{u1} V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))))))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)], Eq.{succ u1} (Set.{u1} V) (SetLike.coe.{u1, u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) 0 (Zero.toOfNat0.{u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.instZeroConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u1} (Set.{u1} V) 0 (Zero.toOfNat0.{u1} (Set.{u1} V) (Set.zero.{u1} V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))))))
+Case conversion may be inaccurate. Consider using '#align convex_body.coe_zero ConvexBody.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : (↑(0 : ConvexBody V) : Set V) = 0 :=
   rfl
@@ -134,10 +158,12 @@ variable [ContinuousSMul ℝ V]
 instance : SMul ℝ (ConvexBody V)
     where smul c K := ⟨c • (K : Set V), K.Convex.smul _, K.IsCompact.smul _, K.Nonempty.smul_set⟩
 
+#print ConvexBody.coe_smul /-
 @[simp]
 theorem coe_smul (c : ℝ) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl
 #align convex_body.coe_smul ConvexBody.coe_smul
+-/
 
 variable [ContinuousAdd V]
 
@@ -157,6 +183,12 @@ instance : DistribMulAction ℝ (ConvexBody V)
     ext
     simp only [coe_smul, coe_zero, smul_zero]
 
+/- warning: convex_body.coe_smul' -> ConvexBody.coe_smul' is a dubious translation:
+lean 3 declaration is
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousSMul.{0, u1} Real V (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) _inst_1] [_inst_5 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toHasAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))] (c : NNReal) (K : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toHasSmul.{0, u1} Real V (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) 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(AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real V (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} V (AddMonoid.toAddZeroClass.{u1} V (AddCommMonoid.toAddMonoid.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.setLike.{u1} V _inst_1 _inst_2 _inst_3)))) K))
+but is expected to have type
+  forall {V : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} V] [_inst_2 : AddCommGroup.{u1} V] [_inst_3 : Module.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2)] [_inst_4 : ContinuousSMul.{0, u1} Real V (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3)))) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) _inst_1] [_inst_5 : ContinuousAdd.{u1} V _inst_1 (AddZeroClass.toAdd.{u1} V (AddMonoid.toAddZeroClass.{u1} V (SubNegMonoid.toAddMonoid.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_2)))))] (c : NNReal) (K : ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))), Eq.{succ u1} (Set.{u1} V) (SetLike.coe.{u1, u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{0, u1, u1} NNReal (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (instHSMul.{0, u1} NNReal (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (SMulZeroClass.toSMul.{0, u1} NNReal (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.instZeroConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) (DistribSMul.toSMulZeroClass.{0, u1} NNReal (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (AddMonoid.toAddZeroClass.{u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.instAddMonoidConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_5)) (DistribMulAction.toDistribSMul.{0, u1} NNReal (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (ConvexBody.instAddMonoidConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_5) (NNReal.instDistribMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) (ConvexBody.instAddMonoidConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_5) (ConvexBody.instDistribMulActionRealConvexBodyToAddCommMonoidToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiringInstMonoidRealInstAddMonoidConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))))) c K)) (HSMul.hSMul.{0, u1, u1} NNReal (Set.{u1} V) (Set.{u1} V) (instHSMul.{0, u1} NNReal (Set.{u1} V) (Set.smulSet.{0, u1} NNReal V (SMulZeroClass.toSMul.{0, u1} NNReal V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} NNReal V instNNRealZero (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} NNReal V (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} NNReal V instNNRealSemiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (NNReal.instModuleNNRealInstNNRealSemiring.{u1} V (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))))) c (SetLike.coe.{u1, u1} (ConvexBody.{u1} V _inst_1 (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) (SMulZeroClass.toSMul.{0, u1} Real V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real V Real.instZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real V Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_2))))) (Module.toMulActionWithZero.{0, u1} Real V Real.semiring (AddCommGroup.toAddCommMonoid.{u1} V _inst_2) _inst_3))))) V (ConvexBody.instSetLikeConvexBodyToAddCommMonoidToSMulRealToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassInstZeroRealToSMulWithZeroInstMonoidWithZeroRealToMulActionWithZeroSemiring.{u1} V _inst_1 _inst_2 _inst_3) K))
+Case conversion may be inaccurate. Consider using '#align convex_body.coe_smul' ConvexBody.coe_smul'ₓ'. -/
 @[simp]
 theorem coe_smul' (c : ℝ≥0) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl
@@ -180,14 +212,18 @@ section SeminormedAddCommGroup
 
 variable [SeminormedAddCommGroup V] [NormedSpace ℝ V] (K L : ConvexBody V)
 
+#print ConvexBody.bounded /-
 protected theorem bounded : Metric.Bounded (K : Set V) :=
   K.IsCompact.Bounded
 #align convex_body.bounded ConvexBody.bounded
+-/
 
+#print ConvexBody.hausdorffEdist_ne_top /-
 theorem hausdorffEdist_ne_top {K L : ConvexBody V} : EMetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
   apply_rules [Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded, ConvexBody.nonempty,
     ConvexBody.bounded]
 #align convex_body.Hausdorff_edist_ne_top ConvexBody.hausdorffEdist_ne_top
+-/
 
 /-- Convex bodies in a fixed seminormed space $V$ form a pseudo-metric space under the Hausdorff
 metric. -/
@@ -198,17 +234,21 @@ noncomputable instance : PseudoMetricSpace (ConvexBody V)
   dist_comm _ _ := Metric.hausdorffDist_comm
   dist_triangle K L M := Metric.hausdorffDist_triangle hausdorffEdist_ne_top
 
+#print ConvexBody.hausdorffDist_coe /-
 @[simp, norm_cast]
 theorem hausdorffDist_coe : Metric.hausdorffDist (K : Set V) L = dist K L :=
   rfl
 #align convex_body.Hausdorff_dist_coe ConvexBody.hausdorffDist_coe
+-/
 
+#print ConvexBody.hausdorffEdist_coe /-
 @[simp, norm_cast]
 theorem hausdorffEdist_coe : EMetric.hausdorffEdist (K : Set V) L = edist K L :=
   by
   rw [edist_dist]
   exact (ENNReal.ofReal_toReal Hausdorff_edist_ne_top).symm
 #align convex_body.Hausdorff_edist_coe ConvexBody.hausdorffEdist_coe
+-/
 
 end SeminormedAddCommGroup
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/5ec62c8106221a3f9160e4e4fcc3eed79fe213e9

@@ -184,7 +184,7 @@ protected theorem bounded : Metric.Bounded (K : Set V) :=
   K.IsCompact.Bounded
 #align convex_body.bounded ConvexBody.bounded
 
-theorem hausdorffEdist_ne_top {K L : ConvexBody V} : Emetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
+theorem hausdorffEdist_ne_top {K L : ConvexBody V} : EMetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
   apply_rules [Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded, ConvexBody.nonempty,
     ConvexBody.bounded]
 #align convex_body.Hausdorff_edist_ne_top ConvexBody.hausdorffEdist_ne_top
@@ -204,7 +204,7 @@ theorem hausdorffDist_coe : Metric.hausdorffDist (K : Set V) L = dist K L :=
 #align convex_body.Hausdorff_dist_coe ConvexBody.hausdorffDist_coe
 
 @[simp, norm_cast]
-theorem hausdorffEdist_coe : Emetric.hausdorffEdist (K : Set V) L = edist K L :=
+theorem hausdorffEdist_coe : EMetric.hausdorffEdist (K : Set V) L = edist K L :=
   by
   rw [edist_dist]
   exact (ENNReal.ofReal_toReal Hausdorff_edist_ne_top).symm

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -207,7 +207,7 @@ theorem hausdorffDist_coe : Metric.hausdorffDist (K : Set V) L = dist K L :=
 theorem hausdorffEdist_coe : Emetric.hausdorffEdist (K : Set V) L = edist K L :=
   by
   rw [edist_dist]
-  exact (Ennreal.ofReal_toReal Hausdorff_edist_ne_top).symm
+  exact (ENNReal.ofReal_toReal Hausdorff_edist_ne_top).symm
 #align convex_body.Hausdorff_edist_coe ConvexBody.hausdorffEdist_coe
 
 end SeminormedAddCommGroup

mathlib commit https://github.com/leanprover-community/mathlib/commit/271bf175e6c51b8d31d6c0107b7bb4a967c7277e

@@ -4,28 +4,30 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Paul A. Reichert
 
 ! This file was ported from Lean 3 source module analysis.convex.body
-! leanprover-community/mathlib commit e6c26fe38ddd3d4175caf4bd24d685901eb85fe5
+! leanprover-community/mathlib commit 858a10cf68fd6c06872950fc58c4dcc68d465591
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Convex.Basic
-import Mathbin.Data.Real.Nnreal
-import Mathbin.Topology.Algebra.Module.Basic
-import Mathbin.Topology.Instances.Real
+import Mathbin.Analysis.NormedSpace.Basic
+import Mathbin.Topology.MetricSpace.HausdorffDistance
 
 /-!
-# convex bodies
+# Convex bodies
 
 This file contains the definition of the type `convex_body V`
 consisting of
 convex, compact, nonempty subsets of a real topological vector space `V`.
 
-`convex_body V` is a module over the nonnegative reals (`nnreal`).
+`convex_body V` is a module over the nonnegative reals (`nnreal`) and a pseudo-metric space.
+If `V` is a normed space, `convex_body V` is a metric space.
+
+## TODO
 
-TODOs:
-- endow it with the Hausdorff metric
 - define positive convex bodies, requiring the interior to be nonempty
 - introduce support sets
+- Characterise the interaction of the distance with algebraic operations, eg
+  `dist (a • K) (a • L) = ‖a‖ * dist K L`, `dist (a +ᵥ K) (a +ᵥ L) = dist K L`
 
 ## Tags
 
@@ -37,13 +39,12 @@ open Pointwise
 
 open NNReal
 
-variable (V : Type _) [TopologicalSpace V] [AddCommGroup V] [ContinuousAdd V] [Module ℝ V]
-  [ContinuousSMul ℝ V]
+variable {V : Type _}
 
 /-- Let `V` be a real topological vector space. A subset of `V` is a convex body if and only if
 it is convex, compact, and nonempty.
 -/
-structure ConvexBody where
+structure ConvexBody (V : Type _) [TopologicalSpace V] [AddCommMonoid V] [SMul ℝ V] where
   carrier : Set V
   convex' : Convex ℝ carrier
   is_compact' : IsCompact carrier
@@ -52,7 +53,9 @@ structure ConvexBody where
 
 namespace ConvexBody
 
-variable {V}
+section TVS
+
+variable [TopologicalSpace V] [AddCommGroup V] [Module ℝ V]
 
 instance : SetLike (ConvexBody V) V
     where
@@ -62,15 +65,15 @@ instance : SetLike (ConvexBody V) V
     cases L
     congr
 
-theorem convex (K : ConvexBody V) : Convex ℝ (K : Set V) :=
+protected theorem convex (K : ConvexBody V) : Convex ℝ (K : Set V) :=
   K.convex'
 #align convex_body.convex ConvexBody.convex
 
-theorem isCompact (K : ConvexBody V) : IsCompact (K : Set V) :=
+protected theorem isCompact (K : ConvexBody V) : IsCompact (K : Set V) :=
   K.is_compact'
 #align convex_body.is_compact ConvexBody.isCompact
 
-theorem nonempty (K : ConvexBody V) : (K : Set V).Nonempty :=
+protected theorem nonempty (K : ConvexBody V) : (K : Set V).Nonempty :=
   K.nonempty'
 #align convex_body.nonempty ConvexBody.nonempty
 
@@ -84,6 +87,10 @@ theorem coe_mk (s : Set V) (h₁ h₂ h₃) : (mk s h₁ h₂ h₃ : Set V) = s
   rfl
 #align convex_body.coe_mk ConvexBody.coe_mk
 
+section ContinuousAdd
+
+variable [ContinuousAdd V]
+
 instance : AddMonoid (ConvexBody V)
     where
   -- we cannot write K + L to avoid reducibility issues with the set.has_add instance
@@ -120,6 +127,10 @@ instance : AddCommMonoid (ConvexBody V) :=
       ext
       simp only [coe_add, add_comm] }
 
+end ContinuousAdd
+
+variable [ContinuousSMul ℝ V]
+
 instance : SMul ℝ (ConvexBody V)
     where smul c K := ⟨c • (K : Set V), K.Convex.smul _, K.IsCompact.smul _, K.Nonempty.smul_set⟩
 
@@ -128,6 +139,8 @@ theorem coe_smul (c : ℝ) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (
   rfl
 #align convex_body.coe_smul ConvexBody.coe_smul
 
+variable [ContinuousAdd V]
+
 instance : DistribMulAction ℝ (ConvexBody V)
     where
   toSMul := ConvexBody.hasSmul
@@ -161,5 +174,56 @@ instance : Module ℝ≥0 (ConvexBody V)
     ext1
     exact Set.zero_smul_set K.nonempty
 
+end TVS
+
+section SeminormedAddCommGroup
+
+variable [SeminormedAddCommGroup V] [NormedSpace ℝ V] (K L : ConvexBody V)
+
+protected theorem bounded : Metric.Bounded (K : Set V) :=
+  K.IsCompact.Bounded
+#align convex_body.bounded ConvexBody.bounded
+
+theorem hausdorffEdist_ne_top {K L : ConvexBody V} : Emetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
+  apply_rules [Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded, ConvexBody.nonempty,
+    ConvexBody.bounded]
+#align convex_body.Hausdorff_edist_ne_top ConvexBody.hausdorffEdist_ne_top
+
+/-- Convex bodies in a fixed seminormed space $V$ form a pseudo-metric space under the Hausdorff
+metric. -/
+noncomputable instance : PseudoMetricSpace (ConvexBody V)
+    where
+  dist K L := Metric.hausdorffDist (K : Set V) L
+  dist_self _ := Metric.hausdorffDist_self_zero
+  dist_comm _ _ := Metric.hausdorffDist_comm
+  dist_triangle K L M := Metric.hausdorffDist_triangle hausdorffEdist_ne_top
+
+@[simp, norm_cast]
+theorem hausdorffDist_coe : Metric.hausdorffDist (K : Set V) L = dist K L :=
+  rfl
+#align convex_body.Hausdorff_dist_coe ConvexBody.hausdorffDist_coe
+
+@[simp, norm_cast]
+theorem hausdorffEdist_coe : Emetric.hausdorffEdist (K : Set V) L = edist K L :=
+  by
+  rw [edist_dist]
+  exact (Ennreal.ofReal_toReal Hausdorff_edist_ne_top).symm
+#align convex_body.Hausdorff_edist_coe ConvexBody.hausdorffEdist_coe
+
+end SeminormedAddCommGroup
+
+section NormedAddCommGroup
+
+variable [NormedAddCommGroup V] [NormedSpace ℝ V]
+
+/-- Convex bodies in a fixed normed space `V` form a metric space under the Hausdorff metric. -/
+noncomputable instance : MetricSpace (ConvexBody V)
+    where eq_of_dist_eq_zero K L hd :=
+    ConvexBody.ext <|
+      (K.IsCompact.IsClosed.hausdorffDist_zero_iff_eq L.IsCompact.IsClosed hausdorffEdist_ne_top).mp
+        hd
+
+end NormedAddCommGroup
+
 end ConvexBody
 

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

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -110,7 +110,7 @@ instance : SMul ℕ (ConvexBody V) where
 -- Porting note: add @[simp, norm_cast]; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_nsmul : ∀ (n : ℕ) (K : ConvexBody V), ↑(n • K) = n • (K : Set V)
   | 0, _ => rfl
-  | (n + 1), K => congr_arg₂ (Set.image2 (· + ·)) rfl (coe_nsmul n K)
+  | (n + 1), K => congr_arg₂ (Set.image2 (· + ·)) (coe_nsmul n K) rfl
 
 instance : AddMonoid (ConvexBody V) :=
   SetLike.coe_injective.addMonoid (↑) rfl (fun _ _ ↦ rfl) fun _ _ ↦ coe_nsmul _ _

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

| Statement | New name | Old name | |

@@ -223,7 +223,7 @@ theorem iInter_smul_eq_self [T2Space V] {u : ℕ → ℝ≥0} (K : ConvexBody V)
     obtain ⟨n, hn⟩ := hu (ε / C) (div_pos hε hC_pos)
     obtain ⟨y, hyK, rfl⟩ := Set.mem_smul_set.mp (Set.mem_iInter.mp h n)
     refine ⟨y, hyK, ?_⟩
-    rw [show (1 + u n : ℝ) • y - y = (u n : ℝ) • y by rw [add_smul, one_smul, add_sub_cancel'],
+    rw [show (1 + u n : ℝ) • y - y = (u n : ℝ) • y by rw [add_smul, one_smul, add_sub_cancel_left],
       norm_smul, Real.norm_eq_abs]
     specialize hn n le_rfl
     rw [_root_.lt_div_iff' hC_pos, mul_comm, NNReal.coe_zero, sub_zero, Real.norm_eq_abs] at hn

Classifies by adding issue number #10756 to porting notes claiming anything equivalent to:

• "added theorem"
• "added theorems"
• "new theorem"
• "new theorems"
• "added lemma"
• "new lemma"
• "new lemmas"

@@ -67,7 +67,7 @@ protected theorem isCompact (K : ConvexBody V) : IsCompact (K : Set V) :=
   K.isCompact'
 #align convex_body.is_compact ConvexBody.isCompact
 
--- Porting note: new theorem
+-- Porting note (#10756): new theorem
 protected theorem isClosed [T2Space V] (K : ConvexBody V) : IsClosed (K : Set V) :=
   K.isCompact.isClosed
 

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

@@ -67,7 +67,7 @@ protected theorem isCompact (K : ConvexBody V) : IsCompact (K : Set V) :=
   K.isCompact'
 #align convex_body.is_compact ConvexBody.isCompact
 
--- porting note: new theorem
+-- Porting note: new theorem
 protected theorem isClosed [T2Space V] (K : ConvexBody V) : IsClosed (K : Set V) :=
   K.isCompact.isClosed
 
@@ -107,7 +107,7 @@ instance : Zero (ConvexBody V) where
 instance : SMul ℕ (ConvexBody V) where
   smul := nsmulRec
 
--- porting note: add @[simp, norm_cast]; we leave it out for now to reproduce mathlib3 behavior.
+-- Porting note: add @[simp, norm_cast]; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_nsmul : ∀ (n : ℕ) (K : ConvexBody V), ↑(n • K) = n • (K : Set V)
   | 0, _ => rfl
   | (n + 1), K => congr_arg₂ (Set.image2 (· + ·)) rfl (coe_nsmul n K)
@@ -115,12 +115,12 @@ theorem coe_nsmul : ∀ (n : ℕ) (K : ConvexBody V), ↑(n • K) = n • (K :
 instance : AddMonoid (ConvexBody V) :=
   SetLike.coe_injective.addMonoid (↑) rfl (fun _ _ ↦ rfl) fun _ _ ↦ coe_nsmul _ _
 
-@[simp] -- porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
+@[simp] -- Porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_add (K L : ConvexBody V) : (↑(K + L) : Set V) = (K : Set V) + L :=
   rfl
 #align convex_body.coe_add ConvexBody.coe_add
 
-@[simp] -- porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
+@[simp] -- Porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_zero : (↑(0 : ConvexBody V) : Set V) = 0 :=
   rfl
 #align convex_body.coe_zero ConvexBody.coe_zero
@@ -138,7 +138,7 @@ variable [ContinuousSMul ℝ V]
 instance : SMul ℝ (ConvexBody V) where
   smul c K := ⟨c • (K : Set V), K.convex.smul _, K.isCompact.smul _, K.nonempty.smul_set⟩
 
-@[simp] -- porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
+@[simp] -- Porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_smul (c : ℝ) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl
 #align convex_body.coe_smul ConvexBody.coe_smul
@@ -148,7 +148,7 @@ variable [ContinuousAdd V]
 instance : DistribMulAction ℝ (ConvexBody V) :=
   SetLike.coe_injective.distribMulAction ⟨⟨(↑), coe_zero⟩, coe_add⟩ coe_smul
 
-@[simp] -- porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
+@[simp] -- Porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_smul' (c : ℝ≥0) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=
   rfl
 #align convex_body.coe_smul' ConvexBody.coe_smul'

It appears this note no longer applies.

@@ -96,11 +96,9 @@ section ContinuousAdd
 
 variable [ContinuousAdd V]
 
--- we cannot write K + L to avoid reducibility issues with the set.has_add instance
--- porting note: todo: is this^ still true?
 instance : Add (ConvexBody V) where
   add K L :=
-    ⟨Set.image2 (· + ·) K L, K.convex.add L.convex, K.isCompact.add L.isCompact,
+    ⟨K + L, K.convex.add L.convex, K.isCompact.add L.isCompact,
       K.nonempty.add L.nonempty⟩
 
 instance : Zero (ConvexBody V) where

Also fix GeneralizedContinuedFraction.of_convergence: it worked for the Preorder.topology only.

@@ -32,9 +32,7 @@ convex, convex body
 -/
 
 
-open Pointwise
-
-open NNReal
+open scoped Pointwise Topology NNReal
 
 variable {V : Type*}
 
@@ -216,7 +214,7 @@ open Filter
 numbers that tends to `0`. Then the intersection of the dilated bodies `(1 + u n) • K` is equal
 to `K`. -/
 theorem iInter_smul_eq_self [T2Space V] {u : ℕ → ℝ≥0} (K : ConvexBody V) (h_zero : 0 ∈ K)
-    (hu : Tendsto u atTop (nhds 0)) :
+    (hu : Tendsto u atTop (𝓝 0)) :
     ⋂ n : ℕ, (1 + (u n : ℝ)) • (K : Set V) = K := by
   ext x
   refine ⟨fun h => ?_, fun h => ?_⟩

@@ -87,6 +87,13 @@ theorem coe_mk (s : Set V) (h₁ h₂ h₃) : (mk s h₁ h₂ h₃ : Set V) = s
   rfl
 #align convex_body.coe_mk ConvexBody.coe_mk
 
+/-- A convex body that is symmetric contains `0`. -/
+theorem zero_mem_of_symmetric (K : ConvexBody V) (h_symm : ∀ x ∈ K, - x ∈ K) : 0 ∈ K := by
+  obtain ⟨x, hx⟩ := K.nonempty
+  rw [show 0 = (1/2 : ℝ) • x + (1/2 : ℝ) • (- x) by field_simp]
+  apply convex_iff_forall_pos.mp K.convex hx (h_symm x hx)
+  all_goals linarith
+
 section ContinuousAdd
 
 variable [ContinuousAdd V]
@@ -156,6 +163,18 @@ instance : Module ℝ≥0 (ConvexBody V) where
   add_smul c d K := SetLike.ext' <| Convex.add_smul K.convex c.coe_nonneg d.coe_nonneg
   zero_smul K := SetLike.ext' <| Set.zero_smul_set K.nonempty
 
+theorem smul_le_of_le (K : ConvexBody V) (h_zero : 0 ∈ K) {a b : ℝ≥0} (h : a ≤ b) :
+    a • K ≤ b • K := by
+  rw [← SetLike.coe_subset_coe, coe_smul', coe_smul']
+  by_cases ha : a = 0
+  · rw [ha, Set.zero_smul_set K.nonempty, Set.zero_subset]
+    exact Set.mem_smul_set.mpr ⟨0, h_zero, smul_zero _⟩
+  · intro x hx
+    obtain ⟨y, hy, rfl⟩ := Set.mem_smul_set.mp hx
+    rw [← Set.mem_inv_smul_set_iff₀ ha, smul_smul]
+    exact Convex.mem_smul_of_zero_mem K.convex h_zero hy
+      (by rwa [← NNReal.mul_le_iff_le_inv ha, mul_one] : 1 ≤ a⁻¹ * b)
+
 end TVS
 
 section SeminormedAddCommGroup
@@ -191,6 +210,32 @@ theorem hausdorffEdist_coe : EMetric.hausdorffEdist (K : Set V) L = edist K L :=
   exact (ENNReal.ofReal_toReal hausdorffEdist_ne_top).symm
 #align convex_body.Hausdorff_edist_coe ConvexBody.hausdorffEdist_coe
 
+open Filter
+
+/-- Let `K` be a convex body that contains `0` and let `u n` be a sequence of nonnegative real
+numbers that tends to `0`. Then the intersection of the dilated bodies `(1 + u n) • K` is equal
+to `K`. -/
+theorem iInter_smul_eq_self [T2Space V] {u : ℕ → ℝ≥0} (K : ConvexBody V) (h_zero : 0 ∈ K)
+    (hu : Tendsto u atTop (nhds 0)) :
+    ⋂ n : ℕ, (1 + (u n : ℝ)) • (K : Set V) = K := by
+  ext x
+  refine ⟨fun h => ?_, fun h => ?_⟩
+  · obtain ⟨C, hC_pos, hC_bdd⟩ := K.isBounded.exists_pos_norm_le
+    rw [← K.isClosed.closure_eq, SeminormedAddCommGroup.mem_closure_iff]
+    rw [← NNReal.tendsto_coe, NormedAddCommGroup.tendsto_atTop] at hu
+    intro ε hε
+    obtain ⟨n, hn⟩ := hu (ε / C) (div_pos hε hC_pos)
+    obtain ⟨y, hyK, rfl⟩ := Set.mem_smul_set.mp (Set.mem_iInter.mp h n)
+    refine ⟨y, hyK, ?_⟩
+    rw [show (1 + u n : ℝ) • y - y = (u n : ℝ) • y by rw [add_smul, one_smul, add_sub_cancel'],
+      norm_smul, Real.norm_eq_abs]
+    specialize hn n le_rfl
+    rw [_root_.lt_div_iff' hC_pos, mul_comm, NNReal.coe_zero, sub_zero, Real.norm_eq_abs] at hn
+    refine lt_of_le_of_lt ?_ hn
+    exact mul_le_mul_of_nonneg_left (hC_bdd _ hyK) (abs_nonneg _)
+  · refine Set.mem_iInter.mpr (fun n => Convex.mem_smul_of_zero_mem K.convex h_zero h ?_)
+    exact (le_add_iff_nonneg_right _).mpr (by positivity)
+
 end SeminormedAddCommGroup
 
 section NormedAddCommGroup

Use Bornology.IsBounded instead.

@@ -162,13 +162,13 @@ section SeminormedAddCommGroup
 
 variable [SeminormedAddCommGroup V] [NormedSpace ℝ V] (K L : ConvexBody V)
 
-protected theorem bounded : Metric.Bounded (K : Set V) :=
-  K.isCompact.bounded
-#align convex_body.bounded ConvexBody.bounded
+protected theorem isBounded : Bornology.IsBounded (K : Set V) :=
+  K.isCompact.isBounded
+#align convex_body.bounded ConvexBody.isBounded
 
 theorem hausdorffEdist_ne_top {K L : ConvexBody V} : EMetric.hausdorffEdist (K : Set V) L ≠ ⊤ := by
   apply_rules [Metric.hausdorffEdist_ne_top_of_nonempty_of_bounded, ConvexBody.nonempty,
-    ConvexBody.bounded]
+    ConvexBody.isBounded]
 #align convex_body.Hausdorff_edist_ne_top ConvexBody.hausdorffEdist_ne_top
 
 /-- Convex bodies in a fixed seminormed space $V$ form a pseudo-metric space under the Hausdorff

@@ -132,8 +132,8 @@ end ContinuousAdd
 
 variable [ContinuousSMul ℝ V]
 
-instance : SMul ℝ (ConvexBody V)
-    where smul c K := ⟨c • (K : Set V), K.convex.smul _, K.isCompact.smul _, K.nonempty.smul_set⟩
+instance : SMul ℝ (ConvexBody V) where
+  smul c K := ⟨c • (K : Set V), K.convex.smul _, K.isCompact.smul _, K.nonempty.smul_set⟩
 
 @[simp] -- porting note: add norm_cast; we leave it out for now to reproduce mathlib3 behavior.
 theorem coe_smul (c : ℝ) (K : ConvexBody V) : (↑(c • K) : Set V) = c • (K : Set V) :=

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

This has nice performance benefits.

@@ -36,12 +36,12 @@ open Pointwise
 
 open NNReal
 
-variable {V : Type _}
+variable {V : Type*}
 
 /-- Let `V` be a real topological vector space. A subset of `V` is a convex body if and only if
 it is convex, compact, and nonempty.
 -/
-structure ConvexBody (V : Type _) [TopologicalSpace V] [AddCommMonoid V] [SMul ℝ V] where
+structure ConvexBody (V : Type*) [TopologicalSpace V] [AddCommMonoid V] [SMul ℝ V] where
   carrier : Set V
   convex' : Convex ℝ carrier
   isCompact' : IsCompact carrier

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Paul A. Reichert. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Paul A. Reichert
-
-! This file was ported from Lean 3 source module analysis.convex.body
-! leanprover-community/mathlib commit 858a10cf68fd6c06872950fc58c4dcc68d465591
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Convex.Basic
 import Mathlib.Analysis.NormedSpace.Basic
 import Mathlib.Topology.MetricSpace.HausdorffDistance
 
+#align_import analysis.convex.body from "leanprover-community/mathlib"@"858a10cf68fd6c06872950fc58c4dcc68d465591"
+
 /-!
 # Convex bodies