analysis.convex.strict | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

84dc0bd6

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

31ca6f9c

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -422,8 +422,8 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
   classical
   by_contra hxy
   exact
-    (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
-      (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
+    (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel _ _, rfl⟩).2
+      (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 -/

31ca6f9c

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -102,7 +102,7 @@ theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Di
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) :=
   by
   rintro x hx y hy hxy a b ha hb hab
-  rw [mem_Union] at hx hy 
+  rw [mem_Union] at hx hy
   obtain ⟨i, hx⟩ := hx
   obtain ⟨j, hy⟩ := hy
   obtain ⟨k, hik, hjk⟩ := hdir i j
@@ -290,7 +290,7 @@ theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
   intro x hx y hy hxy a b ha hb hab
   refine' preimage_interior_subset_interior_preimage (continuous_add_left _) _
   have h := hs hx hy ((add_right_injective _).Ne hxy) ha hb hab
-  rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h 
+  rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h
 #align strict_convex.preimage_add_right StrictConvex.preimage_add_right
 -/

31ca6f9c

bump to nightly-2024-02-01-06

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

5433bded

Diff

@@ -389,7 +389,16 @@ variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [Continuou
 
 #print StrictConvex.preimage_smul /-
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
-    StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by classical
+    StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
+  classical
+  obtain rfl | hc := eq_or_ne c 0
+  · simp_rw [zero_smul, preimage_const]
+    split_ifs
+    · exact strictConvex_univ
+    · exact strictConvex_empty
+  refine' hs.linear_preimage (LinearMap.lsmul _ _ c) _ (smul_right_injective E hc)
+  unfold LinearMap.lsmul LinearMap.mk₂ LinearMap.mk₂' LinearMap.mk₂'ₛₗ
+  exact continuous_const_smul _
 #align strict_convex.preimage_smul StrictConvex.preimage_smul
 -/
 
@@ -411,6 +420,10 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
     x = y := by
   obtain ⟨a, ha₀, ha₁⟩ := DenselyOrdered.dense (0 : 𝕜) 1 zero_lt_one
   classical
+  by_contra hxy
+  exact
+    (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
+      (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 -/

31ca6f9c

bump to nightly-2024-01-31-06

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

61100fe9

Diff

@@ -389,16 +389,7 @@ variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [Continuou
 
 #print StrictConvex.preimage_smul /-
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
-    StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
-  classical
-  obtain rfl | hc := eq_or_ne c 0
-  · simp_rw [zero_smul, preimage_const]
-    split_ifs
-    · exact strictConvex_univ
-    · exact strictConvex_empty
-  refine' hs.linear_preimage (LinearMap.lsmul _ _ c) _ (smul_right_injective E hc)
-  unfold LinearMap.lsmul LinearMap.mk₂ LinearMap.mk₂' LinearMap.mk₂'ₛₗ
-  exact continuous_const_smul _
+    StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by classical
 #align strict_convex.preimage_smul StrictConvex.preimage_smul
 -/
 
@@ -420,10 +411,6 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
     x = y := by
   obtain ⟨a, ha₀, ha₁⟩ := DenselyOrdered.dense (0 : 𝕜) 1 zero_lt_one
   classical
-  by_contra hxy
-  exact
-    (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
-      (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 -/

31ca6f9c

bump to nightly-2023-12-03-06

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

0c0a9c7f

Diff

@@ -132,16 +132,17 @@ protected theorem StrictConvex.convex (hs : StrictConvex 𝕜 s) : Convex 𝕜 s
 #align strict_convex.convex StrictConvex.convex
 -/
 
-#print Convex.strictConvex_of_open /-
+#print Convex.strictConvex_of_isOpen /-
 /-- An open convex set is strictly convex. -/
-protected theorem Convex.strictConvex_of_open (h : IsOpen s) (hs : Convex 𝕜 s) : StrictConvex 𝕜 s :=
-  fun x hx y hy _ a b ha hb hab => h.interior_eq.symm ▸ hs hx hy ha.le hb.le hab
-#align convex.strict_convex_of_open Convex.strictConvex_of_open
+protected theorem Convex.strictConvex_of_isOpen (h : IsOpen s) (hs : Convex 𝕜 s) :
+    StrictConvex 𝕜 s := fun x hx y hy _ a b ha hb hab =>
+  h.interior_eq.symm ▸ hs hx hy ha.le hb.le hab
+#align convex.strict_convex_of_open Convex.strictConvex_of_isOpen
 -/
 
 #print IsOpen.strictConvex_iff /-
 theorem IsOpen.strictConvex_iff (h : IsOpen s) : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
-  ⟨StrictConvex.convex, Convex.strictConvex_of_open h⟩
+  ⟨StrictConvex.convex, Convex.strictConvex_of_isOpen h⟩
 #align is_open.strict_convex_iff IsOpen.strictConvex_iff
 -/

31ca6f9c

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2021 Yaël Dillies. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
 -/
-import Mathbin.Analysis.Convex.Basic
-import Mathbin.Topology.Algebra.Order.Group
+import Analysis.Convex.Basic
+import Topology.Algebra.Order.Group
 
 #align_import analysis.convex.strict from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"

31ca6f9c

bump to nightly-2023-08-23-23

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

f612b9e0

Diff

@@ -559,7 +559,7 @@ theorem strictConvex_iff_ordConnected : StrictConvex 𝕜 s ↔ s.OrdConnected :
 #align strict_convex_iff_ord_connected strictConvex_iff_ordConnected
 -/
 
-alias strictConvex_iff_ordConnected ↔ StrictConvex.ordConnected _
+alias ⟨StrictConvex.ordConnected, _⟩ := strictConvex_iff_ordConnected
 #align strict_convex.ord_connected StrictConvex.ordConnected
 
 end

31ca6f9c

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Yaël Dillies. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
-
-! This file was ported from Lean 3 source module analysis.convex.strict
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
-! 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.Topology.Algebra.Order.Group
 
+#align_import analysis.convex.strict from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
+
 /-!
 # Strictly convex sets

31ca6f9c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -55,38 +55,50 @@ def StrictConvex : Prop :=
 
 variable {𝕜 s} {x y : E} {a b : 𝕜}
 
+#print strictConvex_iff_openSegment_subset /-
 theorem strictConvex_iff_openSegment_subset :
     StrictConvex 𝕜 s ↔ s.Pairwise fun x y => openSegment 𝕜 x y ⊆ interior s :=
   forall₅_congr fun x hx y hy hxy => (openSegment_subset_iff 𝕜).symm
 #align strict_convex_iff_open_segment_subset strictConvex_iff_openSegment_subset
+-/
 
+#print StrictConvex.openSegment_subset /-
 theorem StrictConvex.openSegment_subset (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s)
     (h : x ≠ y) : openSegment 𝕜 x y ⊆ interior s :=
   strictConvex_iff_openSegment_subset.1 hs hx hy h
 #align strict_convex.open_segment_subset StrictConvex.openSegment_subset
+-/
 
+#print strictConvex_empty /-
 theorem strictConvex_empty : StrictConvex 𝕜 (∅ : Set E) :=
   pairwise_empty _
 #align strict_convex_empty strictConvex_empty
+-/
 
+#print strictConvex_univ /-
 theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
   by
   intro x hx y hy hxy a b ha hb hab
   rw [interior_univ]
   exact mem_univ _
 #align strict_convex_univ strictConvex_univ
+-/
 
+#print StrictConvex.eq /-
 protected theorem StrictConvex.eq (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (ha : 0 < a)
     (hb : 0 < b) (hab : a + b = 1) (h : a • x + b • y ∉ interior s) : x = y :=
   hs.Eq hx hy fun H => h <| H ha hb hab
 #align strict_convex.eq StrictConvex.eq
+-/
 
+#print StrictConvex.inter /-
 protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
     StrictConvex 𝕜 (s ∩ t) := by
   intro x hx y hy hxy a b ha hb hab
   rw [interior_inter]
   exact ⟨hs hx.1 hy.1 hxy ha hb hab, ht hx.2 hy.2 hxy ha hb hab⟩
 #align strict_convex.inter StrictConvex.inter
+-/
 
 #print Directed.strictConvex_iUnion /-
 theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
@@ -116,10 +128,12 @@ section Module
 
 variable [Module 𝕜 E] [Module 𝕜 F] {s : Set E}
 
+#print StrictConvex.convex /-
 protected theorem StrictConvex.convex (hs : StrictConvex 𝕜 s) : Convex 𝕜 s :=
   convex_iff_pairwise_pos.2 fun x hx y hy hxy a b ha hb hab =>
     interior_subset <| hs hx hy hxy ha hb hab
 #align strict_convex.convex StrictConvex.convex
+-/
 
 #print Convex.strictConvex_of_open /-
 /-- An open convex set is strictly convex. -/
@@ -134,9 +148,11 @@ theorem IsOpen.strictConvex_iff (h : IsOpen s) : StrictConvex 𝕜 s ↔ Convex
 #align is_open.strict_convex_iff IsOpen.strictConvex_iff
 -/
 
+#print strictConvex_singleton /-
 theorem strictConvex_singleton (c : E) : StrictConvex 𝕜 ({c} : Set E) :=
   pairwise_singleton _ _
 #align strict_convex_singleton strictConvex_singleton
+-/
 
 #print Set.Subsingleton.strictConvex /-
 theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜 s :=
@@ -144,6 +160,7 @@ theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜
 #align set.subsingleton.strict_convex Set.Subsingleton.strictConvex
 -/
 
+#print StrictConvex.linear_image /-
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -152,12 +169,16 @@ theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F
   refine' hf.image_interior_subset _ ⟨a • x + b • y, hs hx hy (ne_of_apply_ne _ hxy) ha hb hab, _⟩
   rw [map_add, f.map_smul_of_tower a, f.map_smul_of_tower b]
 #align strict_convex.linear_image StrictConvex.linear_image
+-/
 
+#print StrictConvex.is_linear_image /-
 theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h : IsLinearMap 𝕜 f)
     (hf : IsOpenMap f) : StrictConvex 𝕜 (f '' s) :=
   hs.linear_image (h.mk' f) hf
 #align strict_convex.is_linear_image StrictConvex.is_linear_image
+-/
 
+#print StrictConvex.linear_preimage /-
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=
   by
@@ -166,18 +187,22 @@ theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f :
   rw [mem_preimage, f.map_add, f.map_smul, f.map_smul]
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.linear_preimage StrictConvex.linear_preimage
+-/
 
+#print StrictConvex.is_linear_preimage /-
 theorem StrictConvex.is_linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E → F}
     (h : IsLinearMap 𝕜 f) (hf : Continuous f) (hfinj : Injective f) :
     StrictConvex 𝕜 (s.Preimage f) :=
   hs.linear_preimage (h.mk' f) hf hfinj
 #align strict_convex.is_linear_preimage StrictConvex.is_linear_preimage
+-/
 
 section LinearOrderedCancelAddCommMonoid
 
 variable [TopologicalSpace β] [LinearOrderedCancelAddCommMonoid β] [OrderTopology β] [Module 𝕜 β]
   [OrderedSMul 𝕜 β]
 
+#print Set.OrdConnected.strictConvex /-
 protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected s) :
     StrictConvex 𝕜 s :=
   by
@@ -187,46 +212,67 @@ protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected
       (openSegment_subset_Ioo hlt).trans
         (is_open_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)
 #align set.ord_connected.strict_convex Set.OrdConnected.strictConvex
+-/
 
+#print strictConvex_Iic /-
 theorem strictConvex_Iic (r : β) : StrictConvex 𝕜 (Iic r) :=
   ordConnected_Iic.StrictConvex
 #align strict_convex_Iic strictConvex_Iic
+-/
 
+#print strictConvex_Ici /-
 theorem strictConvex_Ici (r : β) : StrictConvex 𝕜 (Ici r) :=
   ordConnected_Ici.StrictConvex
 #align strict_convex_Ici strictConvex_Ici
+-/
 
+#print strictConvex_Iio /-
 theorem strictConvex_Iio (r : β) : StrictConvex 𝕜 (Iio r) :=
   ordConnected_Iio.StrictConvex
 #align strict_convex_Iio strictConvex_Iio
+-/
 
+#print strictConvex_Ioi /-
 theorem strictConvex_Ioi (r : β) : StrictConvex 𝕜 (Ioi r) :=
   ordConnected_Ioi.StrictConvex
 #align strict_convex_Ioi strictConvex_Ioi
+-/
 
+#print strictConvex_Icc /-
 theorem strictConvex_Icc (r s : β) : StrictConvex 𝕜 (Icc r s) :=
   ordConnected_Icc.StrictConvex
 #align strict_convex_Icc strictConvex_Icc
+-/
 
+#print strictConvex_Ioo /-
 theorem strictConvex_Ioo (r s : β) : StrictConvex 𝕜 (Ioo r s) :=
   ordConnected_Ioo.StrictConvex
 #align strict_convex_Ioo strictConvex_Ioo
+-/
 
+#print strictConvex_Ico /-
 theorem strictConvex_Ico (r s : β) : StrictConvex 𝕜 (Ico r s) :=
   ordConnected_Ico.StrictConvex
 #align strict_convex_Ico strictConvex_Ico
+-/
 
+#print strictConvex_Ioc /-
 theorem strictConvex_Ioc (r s : β) : StrictConvex 𝕜 (Ioc r s) :=
   ordConnected_Ioc.StrictConvex
 #align strict_convex_Ioc strictConvex_Ioc
+-/
 
+#print strictConvex_uIcc /-
 theorem strictConvex_uIcc (r s : β) : StrictConvex 𝕜 (uIcc r s) :=
   strictConvex_Icc _ _
 #align strict_convex_uIcc strictConvex_uIcc
+-/
 
+#print strictConvex_uIoc /-
 theorem strictConvex_uIoc (r s : β) : StrictConvex 𝕜 (uIoc r s) :=
   strictConvex_Ioc _ _
 #align strict_convex_uIoc strictConvex_uIoc
+-/
 
 end LinearOrderedCancelAddCommMonoid
 
@@ -238,6 +284,7 @@ section AddCancelCommMonoid
 
 variable [AddCancelCommMonoid E] [ContinuousAdd E] [Module 𝕜 E] {s : Set E}
 
+#print StrictConvex.preimage_add_right /-
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) ⁻¹' s) :=
@@ -247,12 +294,15 @@ theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
   have h := hs hx hy ((add_right_injective _).Ne hxy) ha hb hab
   rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h 
 #align strict_convex.preimage_add_right StrictConvex.preimage_add_right
+-/
 
+#print StrictConvex.preimage_add_left /-
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) ⁻¹' s) := by
   simpa only [add_comm] using hs.preimage_add_right z
 #align strict_convex.preimage_add_left StrictConvex.preimage_add_left
+-/
 
 end AddCancelCommMonoid
 
@@ -264,6 +314,7 @@ section continuous_add
 
 variable [ContinuousAdd E] {s t : Set E}
 
+#print StrictConvex.add /-
 theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s + t) :=
   by
   rintro _ ⟨v, w, hv, hw, rfl⟩ _ ⟨x, y, hx, hy, rfl⟩ h a b ha hb hab
@@ -278,20 +329,27 @@ theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
     subset_interior_add_left
       (add_mem_add (hs hv hx hvx ha hb hab) <| ht.convex hw hy ha.le hb.le hab)
 #align strict_convex.add StrictConvex.add
+-/
 
+#print StrictConvex.add_left /-
 theorem StrictConvex.add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) '' s) := by
   simpa only [singleton_add] using (strictConvex_singleton z).add hs
 #align strict_convex.add_left StrictConvex.add_left
+-/
 
+#print StrictConvex.add_right /-
 theorem StrictConvex.add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) '' s) := by simpa only [add_comm] using hs.add_left z
 #align strict_convex.add_right StrictConvex.add_right
+-/
 
+#print StrictConvex.vadd /-
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.vadd (hs : StrictConvex 𝕜 s) (x : E) : StrictConvex 𝕜 (x +ᵥ s) :=
   hs.add_left x
 #align strict_convex.vadd StrictConvex.vadd
+-/
 
 end continuous_add
 
@@ -300,17 +358,21 @@ section ContinuousSmul
 variable [LinearOrderedField 𝕝] [Module 𝕝 E] [ContinuousConstSMul 𝕝 E]
   [LinearMap.CompatibleSMul E E 𝕜 𝕝] {s : Set E} {x : E}
 
+#print StrictConvex.smul /-
 theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 𝕜 (c • s) :=
   by
   obtain rfl | hc := eq_or_ne c 0
   · exact (subsingleton_zero_smul_set _).StrictConvex
   · exact hs.linear_image (LinearMap.lsmul _ _ c) (isOpenMap_smul₀ hc)
 #align strict_convex.smul StrictConvex.smul
+-/
 
+#print StrictConvex.affinity /-
 theorem StrictConvex.affinity [ContinuousAdd E] (hs : StrictConvex 𝕜 s) (z : E) (c : 𝕝) :
     StrictConvex 𝕜 (z +ᵥ c • s) :=
   (hs.smul c).vadd z
 #align strict_convex.affinity StrictConvex.affinity
+-/
 
 end ContinuousSmul
 
@@ -327,6 +389,7 @@ section AddCommGroup
 variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [ContinuousConstSMul 𝕜 E]
   {s : Set E}
 
+#print StrictConvex.preimage_smul /-
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
     StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
   classical
@@ -339,6 +402,7 @@ theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
   unfold LinearMap.lsmul LinearMap.mk₂ LinearMap.mk₂' LinearMap.mk₂'ₛₗ
   exact continuous_const_smul _
 #align strict_convex.preimage_smul StrictConvex.preimage_smul
+-/
 
 end AddCommGroup
 
@@ -352,6 +416,7 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s t : Set E} {x y : E}
 
+#print StrictConvex.eq_of_openSegment_subset_frontier /-
 theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [DenselyOrdered 𝕜]
     (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (h : openSegment 𝕜 x y ⊆ frontier s) :
     x = y := by
@@ -362,7 +427,9 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
     (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
       (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
+-/
 
+#print StrictConvex.add_smul_mem /-
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)
     (hy : y ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • y ∈ interior s :=
   by
@@ -373,12 +440,16 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
   exact x
   rw [← h, add_zero]
 #align strict_convex.add_smul_mem StrictConvex.add_smul_mem
+-/
 
+#print StrictConvex.smul_mem_of_zero_mem /-
 theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : t • x ∈ interior s := by
   simpa using hs.add_smul_mem zero_mem (by simpa using hx) hx₀ ht₀ ht₁
 #align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_mem
+-/
 
+#print StrictConvex.add_smul_sub_mem /-
 theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (hxy : x ≠ y)
     {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • (y - x) ∈ interior s :=
   by
@@ -386,7 +457,9 @@ theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (
   rw [openSegment_eq_image']
   exact mem_image_of_mem _ ⟨ht₀, ht₁⟩
 #align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_mem
+-/
 
+#print StrictConvex.affine_preimage /-
 /-- The preimage of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F}
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (f ⁻¹' s) :=
@@ -396,7 +469,9 @@ theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f :
   rw [mem_preimage, Convex.combo_affine_apply hab]
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.affine_preimage StrictConvex.affine_preimage
+-/
 
+#print StrictConvex.affine_image /-
 /-- The image of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F} (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -406,16 +481,21 @@ theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜]
     hf.image_interior_subset _
       ⟨a • x + b • y, ⟨hs hx hy (ne_of_apply_ne _ hxy) ha hb hab, Convex.combo_affine_apply hab⟩⟩
 #align strict_convex.affine_image StrictConvex.affine_image
+-/
 
 variable [TopologicalAddGroup E]
 
+#print StrictConvex.neg /-
 theorem StrictConvex.neg (hs : StrictConvex 𝕜 s) : StrictConvex 𝕜 (-s) :=
   hs.is_linear_preimage IsLinearMap.isLinearMap_neg continuous_id.neg neg_injective
 #align strict_convex.neg StrictConvex.neg
+-/
 
+#print StrictConvex.sub /-
 theorem StrictConvex.sub (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s - t) :=
   (sub_eq_add_neg s t).symm ▸ hs.add ht.neg
 #align strict_convex.sub StrictConvex.sub
+-/
 
 end AddCommGroup
 
@@ -429,6 +509,7 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s : Set E} {x : E}
 
+#print strictConvex_iff_div /-
 /-- Alternative definition of set strict convexity, using division. -/
 theorem strictConvex_iff_div :
     StrictConvex 𝕜 s ↔
@@ -441,13 +522,16 @@ theorem strictConvex_iff_div :
     exact div_self (add_pos ha hb).ne', fun h x hx y hy hxy a b ha hb hab => by
     convert h hx hy hxy ha hb <;> rw [hab, div_one]⟩
 #align strict_convex_iff_div strictConvex_iff_div
+-/
 
+#print StrictConvex.mem_smul_of_zero_mem /-
 theorem StrictConvex.mem_smul_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht : 1 < t) : x ∈ t • interior s :=
   by
   rw [mem_smul_set_iff_inv_smul_mem₀ (zero_lt_one.trans ht).ne']
   exact hs.smul_mem_of_zero_mem zero_mem hx hx₀ (inv_pos.2 <| zero_lt_one.trans ht) (inv_lt_one ht)
 #align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_mem
+-/
 
 end AddCommGroup
 
@@ -464,15 +548,19 @@ section
 
 variable [LinearOrderedField 𝕜] [TopologicalSpace 𝕜] [OrderTopology 𝕜] {s : Set 𝕜}
 
+#print strictConvex_iff_convex /-
 /-- A set in a linear ordered field is strictly convex if and only if it is convex. -/
 @[simp]
 theorem strictConvex_iff_convex : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
   ⟨StrictConvex.convex, fun hs => hs.OrdConnected.StrictConvex⟩
 #align strict_convex_iff_convex strictConvex_iff_convex
+-/
 
+#print strictConvex_iff_ordConnected /-
 theorem strictConvex_iff_ordConnected : StrictConvex 𝕜 s ↔ s.OrdConnected :=
   strictConvex_iff_convex.trans convex_iff_ordConnected
 #align strict_convex_iff_ord_connected strictConvex_iff_ordConnected
+-/
 
 alias strictConvex_iff_ordConnected ↔ StrictConvex.ordConnected _
 #align strict_convex.ord_connected StrictConvex.ordConnected

31ca6f9c

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -330,14 +330,14 @@ variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [Continuou
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
     StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
   classical
-    obtain rfl | hc := eq_or_ne c 0
-    · simp_rw [zero_smul, preimage_const]
-      split_ifs
-      · exact strictConvex_univ
-      · exact strictConvex_empty
-    refine' hs.linear_preimage (LinearMap.lsmul _ _ c) _ (smul_right_injective E hc)
-    unfold LinearMap.lsmul LinearMap.mk₂ LinearMap.mk₂' LinearMap.mk₂'ₛₗ
-    exact continuous_const_smul _
+  obtain rfl | hc := eq_or_ne c 0
+  · simp_rw [zero_smul, preimage_const]
+    split_ifs
+    · exact strictConvex_univ
+    · exact strictConvex_empty
+  refine' hs.linear_preimage (LinearMap.lsmul _ _ c) _ (smul_right_injective E hc)
+  unfold LinearMap.lsmul LinearMap.mk₂ LinearMap.mk₂' LinearMap.mk₂'ₛₗ
+  exact continuous_const_smul _
 #align strict_convex.preimage_smul StrictConvex.preimage_smul
 
 end AddCommGroup
@@ -357,10 +357,10 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
     x = y := by
   obtain ⟨a, ha₀, ha₁⟩ := DenselyOrdered.dense (0 : 𝕜) 1 zero_lt_one
   classical
-    by_contra hxy
-    exact
-      (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
-        (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
+  by_contra hxy
+  exact
+    (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
+      (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)

31ca6f9c

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -93,7 +93,7 @@ theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Di
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) :=
   by
   rintro x hx y hy hxy a b ha hb hab
-  rw [mem_Union] at hx hy
+  rw [mem_Union] at hx hy 
   obtain ⟨i, hx⟩ := hx
   obtain ⟨j, hy⟩ := hy
   obtain ⟨k, hik, hjk⟩ := hdir i j
@@ -182,7 +182,7 @@ protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected
     StrictConvex 𝕜 s :=
   by
   refine' strictConvex_iff_openSegment_subset.2 fun x hx y hy hxy => _
-  cases' hxy.lt_or_lt with hlt hlt <;> [skip;rw [openSegment_symm]] <;>
+  cases' hxy.lt_or_lt with hlt hlt <;> [skip; rw [openSegment_symm]] <;>
     exact
       (openSegment_subset_Ioo hlt).trans
         (is_open_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)
@@ -245,7 +245,7 @@ theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
   intro x hx y hy hxy a b ha hb hab
   refine' preimage_interior_subset_interior_preimage (continuous_add_left _) _
   have h := hs hx hy ((add_right_injective _).Ne hxy) ha hb hab
-  rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h
+  rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h 
 #align strict_convex.preimage_add_right StrictConvex.preimage_add_right
 
 /-- The translation of a strictly convex set is also strictly convex. -/

31ca6f9c

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -25,13 +25,13 @@ A set is strictly convex if the open segment between any two distinct points lie
 
 open Set
 
-open Convex Pointwise
+open scoped Convex Pointwise
 
 variable {𝕜 𝕝 E F β : Type _}
 
 open Function Set
 
-open Convex
+open scoped Convex
 
 section OrderedSemiring

31ca6f9c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -55,44 +55,20 @@ def StrictConvex : Prop :=
 
 variable {𝕜 s} {x y : E} {a b : 𝕜}
 
-/- warning: strict_convex_iff_open_segment_subset -> strictConvex_iff_openSegment_subset is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E}, Iff (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) (Set.Pairwise.{u2} E s (fun (x : E) (y : E) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u2} E _inst_2 s)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E}, Iff (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) (Set.Pairwise.{u1} E s (fun (x : E) (y : E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u1} E _inst_2 s)))
-Case conversion may be inaccurate. Consider using '#align strict_convex_iff_open_segment_subset strictConvex_iff_openSegment_subsetₓ'. -/
 theorem strictConvex_iff_openSegment_subset :
     StrictConvex 𝕜 s ↔ s.Pairwise fun x y => openSegment 𝕜 x y ⊆ interior s :=
   forall₅_congr fun x hx y hy hxy => (openSegment_subset_iff 𝕜).symm
 #align strict_convex_iff_open_segment_subset strictConvex_iff_openSegment_subset
 
-/- warning: strict_convex.open_segment_subset -> StrictConvex.openSegment_subset is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u2} E _inst_2 s))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u1} E _inst_2 s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.open_segment_subset StrictConvex.openSegment_subsetₓ'. -/
 theorem StrictConvex.openSegment_subset (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s)
     (h : x ≠ y) : openSegment 𝕜 x y ⊆ interior s :=
   strictConvex_iff_openSegment_subset.1 hs hx hy h
 #align strict_convex.open_segment_subset StrictConvex.openSegment_subset
 
-/- warning: strict_convex_empty -> strictConvex_empty is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E], StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E], StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (EmptyCollection.emptyCollection.{u1} (Set.{u1} E) (Set.instEmptyCollectionSet.{u1} E))
-Case conversion may be inaccurate. Consider using '#align strict_convex_empty strictConvex_emptyₓ'. -/
 theorem strictConvex_empty : StrictConvex 𝕜 (∅ : Set E) :=
   pairwise_empty _
 #align strict_convex_empty strictConvex_empty
 
-/- warning: strict_convex_univ -> strictConvex_univ is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E], StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Set.univ.{u2} E)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E], StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Set.univ.{u1} E)
-Case conversion may be inaccurate. Consider using '#align strict_convex_univ strictConvex_univₓ'. -/
 theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
   by
   intro x hx y hy hxy a b ha hb hab
@@ -100,23 +76,11 @@ theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
   exact mem_univ _
 #align strict_convex_univ strictConvex_univ
 
-/- warning: strict_convex.eq -> StrictConvex.eq is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align strict_convex.eq StrictConvex.eqₓ'. -/
 protected theorem StrictConvex.eq (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (ha : 0 < a)
     (hb : 0 < b) (hab : a + b = 1) (h : a • x + b • y ∉ interior s) : x = y :=
   hs.Eq hx hy fun H => h <| H ha hb hab
 #align strict_convex.eq StrictConvex.eq
 
-/- warning: strict_convex.inter -> StrictConvex.inter is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align strict_convex.inter StrictConvex.interₓ'. -/
 protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
     StrictConvex 𝕜 (s ∩ t) := by
   intro x hx y hy hxy a b ha hb hab
@@ -152,12 +116,6 @@ section Module
 
 variable [Module 𝕜 E] [Module 𝕜 F] {s : Set E}
 
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-Case conversion may be inaccurate. Consider using '#align strict_convex.convex StrictConvex.convexₓ'. -/
 protected theorem StrictConvex.convex (hs : StrictConvex 𝕜 s) : Convex 𝕜 s :=
   convex_iff_pairwise_pos.2 fun x hx y hy hxy a b ha hb hab =>
     interior_subset <| hs hx hy hxy ha hb hab
@@ -176,12 +134,6 @@ theorem IsOpen.strictConvex_iff (h : IsOpen s) : StrictConvex 𝕜 s ↔ Convex
 #align is_open.strict_convex_iff IsOpen.strictConvex_iff
 -/
 
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-Case conversion may be inaccurate. Consider using '#align strict_convex_singleton strictConvex_singletonₓ'. -/
 theorem strictConvex_singleton (c : E) : StrictConvex 𝕜 ({c} : Set E) :=
   pairwise_singleton _ _
 #align strict_convex_singleton strictConvex_singleton
@@ -192,9 +144,6 @@ theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜
 #align set.subsingleton.strict_convex Set.Subsingleton.strictConvex
 -/
 
-/- warning: strict_convex.linear_image -> StrictConvex.linear_image is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.linear_image StrictConvex.linear_imageₓ'. -/
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -204,20 +153,11 @@ theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F
   rw [map_add, f.map_smul_of_tower a, f.map_smul_of_tower b]
 #align strict_convex.linear_image StrictConvex.linear_image
 
-/- warning: strict_convex.is_linear_image -> StrictConvex.is_linear_image is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u1, u2, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (IsOpenMap.{u2, u3} E F _inst_2 _inst_3 f) -> (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u2, u3} E F f s)))
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-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : OrderedSemiring.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u1} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u1} F] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_5] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u3, u2, u1} 𝕜 E F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (IsOpenMap.{u2, u1} E F _inst_2 _inst_3 f) -> (StrictConvex.{u3, u1} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u2, u1} E F f s)))
-Case conversion may be inaccurate. Consider using '#align strict_convex.is_linear_image StrictConvex.is_linear_imageₓ'. -/
 theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h : IsLinearMap 𝕜 f)
     (hf : IsOpenMap f) : StrictConvex 𝕜 (f '' s) :=
   hs.linear_image (h.mk' f) hf
 #align strict_convex.is_linear_image StrictConvex.is_linear_image
 
-/- warning: strict_convex.linear_preimage -> StrictConvex.linear_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.linear_preimage StrictConvex.linear_preimageₓ'. -/
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=
   by
@@ -227,12 +167,6 @@ theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f :
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.linear_preimage StrictConvex.linear_preimage
 
-/- warning: strict_convex.is_linear_preimage -> StrictConvex.is_linear_preimage is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u1, u2, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (Continuous.{u2, u3} E F _inst_2 _inst_3 f) -> (Function.Injective.{succ u2, succ u3} E F f) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u2, u3} E F f s)))
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u2, u1, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (Continuous.{u1, u3} E F _inst_2 _inst_3 f) -> (Function.Injective.{succ u1, succ u3} E F f) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F f s)))
-Case conversion may be inaccurate. Consider using '#align strict_convex.is_linear_preimage StrictConvex.is_linear_preimageₓ'. -/
 theorem StrictConvex.is_linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E → F}
     (h : IsLinearMap 𝕜 f) (hf : Continuous f) (hfinj : Injective f) :
     StrictConvex 𝕜 (s.Preimage f) :=
@@ -244,12 +178,6 @@ section LinearOrderedCancelAddCommMonoid
 variable [TopologicalSpace β] [LinearOrderedCancelAddCommMonoid β] [OrderTopology β] [Module 𝕜 β]
   [OrderedSMul 𝕜 β]
 
-/- warning: set.ord_connected.strict_convex -> Set.OrdConnected.strictConvex is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] {s : Set.{u2} β}, (Set.OrdConnected.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) s) -> (StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) s)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] {s : Set.{u2} β}, (Set.OrdConnected.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) s) -> (StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 β (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 β (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) s)
-Case conversion may be inaccurate. Consider using '#align set.ord_connected.strict_convex Set.OrdConnected.strictConvexₓ'. -/
 protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected s) :
     StrictConvex 𝕜 s :=
   by
@@ -260,102 +188,42 @@ protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected
         (is_open_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)
 #align set.ord_connected.strict_convex Set.OrdConnected.strictConvex
 
-/- warning: strict_convex_Iic -> strictConvex_Iic is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Iic.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Iic.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Iic strictConvex_Iicₓ'. -/
 theorem strictConvex_Iic (r : β) : StrictConvex 𝕜 (Iic r) :=
   ordConnected_Iic.StrictConvex
 #align strict_convex_Iic strictConvex_Iic
 
-/- warning: strict_convex_Ici -> strictConvex_Ici is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ici.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ici.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Ici strictConvex_Iciₓ'. -/
 theorem strictConvex_Ici (r : β) : StrictConvex 𝕜 (Ici r) :=
   ordConnected_Ici.StrictConvex
 #align strict_convex_Ici strictConvex_Ici
 
-/- warning: strict_convex_Iio -> strictConvex_Iio is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Iio.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Iio.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Iio strictConvex_Iioₓ'. -/
 theorem strictConvex_Iio (r : β) : StrictConvex 𝕜 (Iio r) :=
   ordConnected_Iio.StrictConvex
 #align strict_convex_Iio strictConvex_Iio
 
-/- warning: strict_convex_Ioi -> strictConvex_Ioi is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioi.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioi.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Ioi strictConvex_Ioiₓ'. -/
 theorem strictConvex_Ioi (r : β) : StrictConvex 𝕜 (Ioi r) :=
   ordConnected_Ioi.StrictConvex
 #align strict_convex_Ioi strictConvex_Ioi
 
-/- warning: strict_convex_Icc -> strictConvex_Icc is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Icc.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Icc strictConvex_Iccₓ'. -/
 theorem strictConvex_Icc (r s : β) : StrictConvex 𝕜 (Icc r s) :=
   ordConnected_Icc.StrictConvex
 #align strict_convex_Icc strictConvex_Icc
 
-/- warning: strict_convex_Ioo -> strictConvex_Ioo is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioo.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Ioo strictConvex_Iooₓ'. -/
 theorem strictConvex_Ioo (r s : β) : StrictConvex 𝕜 (Ioo r s) :=
   ordConnected_Ioo.StrictConvex
 #align strict_convex_Ioo strictConvex_Ioo
 
-/- warning: strict_convex_Ico -> strictConvex_Ico is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ico.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ico.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Ico strictConvex_Icoₓ'. -/
 theorem strictConvex_Ico (r s : β) : StrictConvex 𝕜 (Ico r s) :=
   ordConnected_Ico.StrictConvex
 #align strict_convex_Ico strictConvex_Ico
 
-/- warning: strict_convex_Ioc -> strictConvex_Ioc is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioc.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_Ioc strictConvex_Iocₓ'. -/
 theorem strictConvex_Ioc (r s : β) : StrictConvex 𝕜 (Ioc r s) :=
   ordConnected_Ioc.StrictConvex
 #align strict_convex_Ioc strictConvex_Ioc
 
-/- warning: strict_convex_uIcc -> strictConvex_uIcc is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.uIcc.{u2} β (LinearOrder.toLattice.{u2} β (LinearOrderedAddCommMonoid.toLinearOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9))) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.uIcc.{u1} β (DistribLattice.toLattice.{u1} β (instDistribLattice.{u1} β (LinearOrderedAddCommMonoid.toLinearOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)))) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_uIcc strictConvex_uIccₓ'. -/
 theorem strictConvex_uIcc (r s : β) : StrictConvex 𝕜 (uIcc r s) :=
   strictConvex_Icc _ _
 #align strict_convex_uIcc strictConvex_uIcc
 
-/- warning: strict_convex_uIoc -> strictConvex_uIoc is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.uIoc.{u2} β (LinearOrderedAddCommMonoid.toLinearOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9)) r s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.uIoc.{u1} β (LinearOrderedAddCommMonoid.toLinearOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) r s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_uIoc strictConvex_uIocₓ'. -/
 theorem strictConvex_uIoc (r s : β) : StrictConvex 𝕜 (uIoc r s) :=
   strictConvex_Ioc _ _
 #align strict_convex_uIoc strictConvex_uIoc
@@ -370,12 +238,6 @@ section AddCancelCommMonoid
 
 variable [AddCancelCommMonoid E] [ContinuousAdd E] [Module 𝕜 E] {s : Set E}
 
-/- warning: strict_convex.preimage_add_right -> StrictConvex.preimage_add_right is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCancelCommMonoid.{u2} E] [_inst_5 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.preimage.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))) z x) s))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCancelCommMonoid.{u1} E] [_inst_5 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))) z x) s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_add_right StrictConvex.preimage_add_rightₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) ⁻¹' s) :=
@@ -386,12 +248,6 @@ theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
   rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h
 #align strict_convex.preimage_add_right StrictConvex.preimage_add_right
 
-/- warning: strict_convex.preimage_add_left -> StrictConvex.preimage_add_left is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCancelCommMonoid.{u2} E] [_inst_5 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.preimage.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))) x z) s))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCancelCommMonoid.{u1} E] [_inst_5 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))) x z) s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_add_left StrictConvex.preimage_add_leftₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) ⁻¹' s) := by
@@ -408,12 +264,6 @@ section continuous_add
 
 variable [ContinuousAdd E] {s t : Set E}
 
-/- warning: strict_convex.add -> StrictConvex.add is a dubious translation:
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-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E} {t : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) t) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (HAdd.hAdd.{u1, u1, u1} (Set.{u1} E) (Set.{u1} E) (Set.{u1} E) (instHAdd.{u1} (Set.{u1} E) (Set.add.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))))) s t))
-Case conversion may be inaccurate. Consider using '#align strict_convex.add StrictConvex.addₓ'. -/
 theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s + t) :=
   by
   rintro _ ⟨v, w, hv, hw, rfl⟩ _ ⟨x, y, hx, hy, rfl⟩ h a b ha hb hab
@@ -429,33 +279,15 @@ theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
       (add_mem_add (hs hv hx hvx ha hb hab) <| ht.convex hw hy ha.le hb.le hab)
 #align strict_convex.add StrictConvex.add
 
-/- warning: strict_convex.add_left -> StrictConvex.add_left is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.image.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) z x) s))
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.image.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) z x) s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.add_left StrictConvex.add_leftₓ'. -/
 theorem StrictConvex.add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) '' s) := by
   simpa only [singleton_add] using (strictConvex_singleton z).add hs
 #align strict_convex.add_left StrictConvex.add_left
 
-/- warning: strict_convex.add_right -> StrictConvex.add_right is a dubious translation:
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.image.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x z) s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.add_right StrictConvex.add_rightₓ'. -/
 theorem StrictConvex.add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) '' s) := by simpa only [add_comm] using hs.add_left z
 #align strict_convex.add_right StrictConvex.add_right
 
-/- warning: strict_convex.vadd -> StrictConvex.vadd is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (x : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (VAdd.vadd.{u2, u2} E (Set.{u2} E) (Set.vaddSet.{u2, u2} E E (Add.toVAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))) x s))
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (x : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (HVAdd.hVAdd.{u1, u1, u1} E (Set.{u1} E) (Set.{u1} E) (instHVAdd.{u1, u1} E (Set.{u1} E) (Set.vaddSet.{u1, u1} E E (AddAction.toVAdd.{u1, u1} E E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))) (AddTorsor.toAddAction.{u1, u1} E E (AddCommGroup.toAddGroup.{u1} E _inst_4) (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x s))
-Case conversion may be inaccurate. Consider using '#align strict_convex.vadd StrictConvex.vaddₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.vadd (hs : StrictConvex 𝕜 s) (x : E) : StrictConvex 𝕜 (x +ᵥ s) :=
   hs.add_left x
@@ -468,9 +300,6 @@ section ContinuousSmul
 variable [LinearOrderedField 𝕝] [Module 𝕝 E] [ContinuousConstSMul 𝕝 E]
   [LinearMap.CompatibleSMul E E 𝕜 𝕝] {s : Set E} {x : E}
 
-/- warning: strict_convex.smul -> StrictConvex.smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.smul StrictConvex.smulₓ'. -/
 theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 𝕜 (c • s) :=
   by
   obtain rfl | hc := eq_or_ne c 0
@@ -478,9 +307,6 @@ theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 
   · exact hs.linear_image (LinearMap.lsmul _ _ c) (isOpenMap_smul₀ hc)
 #align strict_convex.smul StrictConvex.smul
 
-/- warning: strict_convex.affinity -> StrictConvex.affinity is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.affinity StrictConvex.affinityₓ'. -/
 theorem StrictConvex.affinity [ContinuousAdd E] (hs : StrictConvex 𝕜 s) (z : E) (c : 𝕝) :
     StrictConvex 𝕜 (z +ᵥ c • s) :=
   (hs.smul c).vadd z
@@ -501,9 +327,6 @@ section AddCommGroup
 variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [ContinuousConstSMul 𝕜 E]
   {s : Set E}
 
-/- warning: strict_convex.preimage_smul -> StrictConvex.preimage_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_smul StrictConvex.preimage_smulₓ'. -/
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
     StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
   classical
@@ -529,9 +352,6 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s t : Set E} {x y : E}
 
-/- warning: strict_convex.eq_of_open_segment_subset_frontier -> StrictConvex.eq_of_openSegment_subset_frontier is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontierₓ'. -/
 theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [DenselyOrdered 𝕜]
     (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (h : openSegment 𝕜 x y ⊆ frontier s) :
     x = y := by
@@ -543,9 +363,6 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
         (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 
-/- warning: strict_convex.add_smul_mem -> StrictConvex.add_smul_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_mem StrictConvex.add_smul_memₓ'. -/
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)
     (hy : y ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • y ∈ interior s :=
   by
@@ -557,17 +374,11 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
   rw [← h, add_zero]
 #align strict_convex.add_smul_mem StrictConvex.add_smul_mem
 
-/- warning: strict_convex.smul_mem_of_zero_mem -> StrictConvex.smul_mem_of_zero_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_memₓ'. -/
 theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : t • x ∈ interior s := by
   simpa using hs.add_smul_mem zero_mem (by simpa using hx) hx₀ ht₀ ht₁
 #align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_mem
 
-/- warning: strict_convex.add_smul_sub_mem -> StrictConvex.add_smul_sub_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_memₓ'. -/
 theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (hxy : x ≠ y)
     {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • (y - x) ∈ interior s :=
   by
@@ -576,9 +387,6 @@ theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (
   exact mem_image_of_mem _ ⟨ht₀, ht₁⟩
 #align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_mem
 
-/- warning: strict_convex.affine_preimage -> StrictConvex.affine_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.affine_preimage StrictConvex.affine_preimageₓ'. -/
 /-- The preimage of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F}
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (f ⁻¹' s) :=
@@ -589,9 +397,6 @@ theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f :
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.affine_preimage StrictConvex.affine_preimage
 
-/- warning: strict_convex.affine_image -> StrictConvex.affine_image is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.affine_image StrictConvex.affine_imageₓ'. -/
 /-- The image of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F} (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -604,22 +409,10 @@ theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜]
 
 variable [TopologicalAddGroup E]
 
-/- warning: strict_convex.neg -> StrictConvex.neg is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align strict_convex.neg StrictConvex.negₓ'. -/
 theorem StrictConvex.neg (hs : StrictConvex 𝕜 s) : StrictConvex 𝕜 (-s) :=
   hs.is_linear_preimage IsLinearMap.isLinearMap_neg continuous_id.neg neg_injective
 #align strict_convex.neg StrictConvex.neg
 
-/- warning: strict_convex.sub -> StrictConvex.sub is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align strict_convex.sub StrictConvex.subₓ'. -/
 theorem StrictConvex.sub (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s - t) :=
   (sub_eq_add_neg s t).symm ▸ hs.add ht.neg
 #align strict_convex.sub StrictConvex.sub
@@ -636,9 +429,6 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s : Set E} {x : E}
 
-/- warning: strict_convex_iff_div -> strictConvex_iff_div is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex_iff_div strictConvex_iff_divₓ'. -/
 /-- Alternative definition of set strict convexity, using division. -/
 theorem strictConvex_iff_div :
     StrictConvex 𝕜 s ↔
@@ -652,9 +442,6 @@ theorem strictConvex_iff_div :
     convert h hx hy hxy ha hb <;> rw [hab, div_one]⟩
 #align strict_convex_iff_div strictConvex_iff_div
 
-/- warning: strict_convex.mem_smul_of_zero_mem -> StrictConvex.mem_smul_of_zero_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_memₓ'. -/
 theorem StrictConvex.mem_smul_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht : 1 < t) : x ∈ t • interior s :=
   by
@@ -677,34 +464,16 @@ section
 
 variable [LinearOrderedField 𝕜] [TopologicalSpace 𝕜] [OrderTopology 𝕜] {s : Set 𝕜}
 
-/- warning: strict_convex_iff_convex -> strictConvex_iff_convex is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) (Convex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) (Convex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_iff_convex strictConvex_iff_convexₓ'. -/
 /-- A set in a linear ordered field is strictly convex if and only if it is convex. -/
 @[simp]
 theorem strictConvex_iff_convex : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
   ⟨StrictConvex.convex, fun hs => hs.OrdConnected.StrictConvex⟩
 #align strict_convex_iff_convex strictConvex_iff_convex
 
-/- warning: strict_convex_iff_ord_connected -> strictConvex_iff_ordConnected is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) s)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) s)
-Case conversion may be inaccurate. Consider using '#align strict_convex_iff_ord_connected strictConvex_iff_ordConnectedₓ'. -/
 theorem strictConvex_iff_ordConnected : StrictConvex 𝕜 s ↔ s.OrdConnected :=
   strictConvex_iff_convex.trans convex_iff_ordConnected
 #align strict_convex_iff_ord_connected strictConvex_iff_ordConnected
 
-/- warning: strict_convex.ord_connected -> StrictConvex.ordConnected is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) -> (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) s)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) -> (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) s)
-Case conversion may be inaccurate. Consider using '#align strict_convex.ord_connected StrictConvex.ordConnectedₓ'. -/
 alias strictConvex_iff_ordConnected ↔ StrictConvex.ordConnected _
 #align strict_convex.ord_connected StrictConvex.ordConnected

31ca6f9c

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -193,10 +193,7 @@ theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜
 -/
 
 /- warning: strict_convex.linear_image -> StrictConvex.linear_image is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u4} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u4} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u2, u4} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u4, u1, u2} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_image StrictConvex.linear_imageₓ'. -/
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
@@ -219,10 +216,7 @@ theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h
 #align strict_convex.is_linear_image StrictConvex.is_linear_image
 
 /- warning: strict_convex.linear_preimage -> StrictConvex.linear_preimage is a dubious translation:
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u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f) s)))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_preimage StrictConvex.linear_preimageₓ'. -/
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=
@@ -475,10 +469,7 @@ variable [LinearOrderedField 𝕝] [Module 𝕝 E] [ContinuousConstSMul 𝕝 E]
   [LinearMap.CompatibleSMul E E 𝕜 𝕝] {s : Set E} {x : E}
 
 /- warning: strict_convex.smul -> StrictConvex.smul is a dubious translation:
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(DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u1, u2} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 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(AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (c : 𝕝), StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (SMul.smul.{u2, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u2, u3} 𝕝 E (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))) c s))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : LinearOrderedField.{u1} 𝕝] [_inst_9 : Module.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u1, u2} 𝕝 E _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u2, u2, u3, u1} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) 𝕜 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (c : 𝕝), StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (HSMul.hSMul.{u1, u2, u2} 𝕝 (Set.{u2} E) (Set.{u2} E) (instHSMul.{u1, u2} 𝕝 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕝 E (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_9)))))) c s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.smul StrictConvex.smulₓ'. -/
 theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 𝕜 (c • s) :=
   by
@@ -488,10 +479,7 @@ theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 
 #align strict_convex.smul StrictConvex.smul
 
 /- warning: strict_convex.affinity -> StrictConvex.affinity is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_4 : AddCommGroup.{u3} E] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_8 : LinearOrderedField.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u2, u3} 𝕝 E _inst_2 (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u1, u2} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u3} E} [_inst_12 : ContinuousAdd.{u3} E _inst_2 (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (z : E) (c : 𝕝), StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (VAdd.vadd.{u3, u3} E (Set.{u3} E) (Set.vaddSet.{u3, u3} E E (Add.toVAdd.{u3} E (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4))))))) z (SMul.smul.{u2, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u2, u3} 𝕝 E (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))) c s)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕝 : Type.{u1}} {E : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_4 : AddCommGroup.{u3} E] [_inst_6 : Module.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_8 : LinearOrderedField.{u1} 𝕝] [_inst_9 : Module.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u1, u3} 𝕝 E _inst_2 (SMulZeroClass.toSMul.{u1, u3} 𝕝 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u2, u1} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u3} E} [_inst_12 : ContinuousAdd.{u3} E _inst_2 (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))], (StrictConvex.{u2, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (z : E) (c : 𝕝), StrictConvex.{u2, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (HVAdd.hVAdd.{u3, u3, u3} E (Set.{u3} E) (Set.{u3} E) (instHVAdd.{u3, u3} E (Set.{u3} E) (Set.vaddSet.{u3, u3} E E (AddAction.toVAdd.{u3, u3} E E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4))) (AddTorsor.toAddAction.{u3, u3} E E (AddCommGroup.toAddGroup.{u3} E _inst_4) (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))) z (HSMul.hSMul.{u1, u3, u3} 𝕝 (Set.{u3} E) (Set.{u3} E) (instHSMul.{u1, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u1, u3} 𝕝 E (SMulZeroClass.toSMul.{u1, u3} 𝕝 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9)))))) c s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.affinity StrictConvex.affinityₓ'. -/
 theorem StrictConvex.affinity [ContinuousAdd E] (hs : StrictConvex 𝕜 s) (z : E) (c : 𝕝) :
     StrictConvex 𝕜 (z +ᵥ c • s) :=
@@ -514,10 +502,7 @@ variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [Continuou
   {s : Set E}
 
 /- warning: strict_convex.preimage_smul -> StrictConvex.preimage_smul is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedCommSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_5 : NoZeroSMulDivisors.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) s) -> (forall (c : 𝕜), StrictConvex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Set.preimage.{u2, u2} E E (fun (z : E) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) c z) s))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedCommSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))] [_inst_6 : ContinuousConstSMul.{u2, u1} 𝕜 E _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) s) -> (forall (c : 𝕜), StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (Set.preimage.{u1, u1} E E (fun (z : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))) c z) s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_smul StrictConvex.preimage_smulₓ'. -/
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
     StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
@@ -545,10 +530,7 @@ section AddCommGroup
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s t : Set E} {x y : E}
 
 /- warning: strict_convex.eq_of_open_segment_subset_frontier -> StrictConvex.eq_of_openSegment_subset_frontier is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u1} 𝕜] [_inst_9 : DenselyOrdered.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1))))], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) x y) (frontier.{u2} E _inst_2 s)) -> (Eq.{succ u2} E x y)
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u2} 𝕜] [_inst_9 : DenselyOrdered.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1)))], (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) x y) (frontier.{u1} E _inst_2 s)) -> (Eq.{succ u1} E x y)
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontierₓ'. -/
 theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [DenselyOrdered 𝕜]
     (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (h : openSegment 𝕜 x y ⊆ frontier s) :
@@ -562,10 +544,7 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 
 /- warning: strict_convex.add_smul_mem -> StrictConvex.add_smul_mem is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_mem StrictConvex.add_smul_memₓ'. -/
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)
     (hy : y ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • y ∈ interior s :=
@@ -579,10 +558,7 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
 #align strict_convex.add_smul_mem StrictConvex.add_smul_mem
 
 /- warning: strict_convex.smul_mem_of_zero_mem -> StrictConvex.smul_mem_of_zero_mem is a dubious translation:
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-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t x) (interior.{u1} E _inst_2 s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_memₓ'. -/
 theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : t • x ∈ interior s := by
@@ -590,10 +566,7 @@ theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem :
 #align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_mem
 
 /- warning: strict_convex.add_smul_sub_mem -> StrictConvex.add_smul_sub_mem is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_memₓ'. -/
 theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (hxy : x ≠ y)
     {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • (y - x) ∈ interior s :=
@@ -604,10 +577,7 @@ theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (
 #align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_mem
 
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 Case conversion may be inaccurate. Consider using '#align strict_convex.affine_preimage StrictConvex.affine_preimageₓ'. -/
 /-- The preimage of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F}
@@ -620,10 +590,7 @@ theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f :
 #align strict_convex.affine_preimage StrictConvex.affine_preimage
 
 /- warning: strict_convex.affine_image -> StrictConvex.affine_image is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.affine_image StrictConvex.affine_imageₓ'. -/
 /-- The image of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F} (hf : IsOpenMap f) :
@@ -670,10 +637,7 @@ section AddCommGroup
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s : Set E} {x : E}
 
 /- warning: strict_convex_iff_div -> strictConvex_iff_div is a dubious translation:
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(AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) a (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) x) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) b (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) y)) (interior.{u2} E _inst_2 s))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E}, Iff (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u1} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) a) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) b) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_3)))))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) a (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) b (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) y)) (interior.{u1} E _inst_2 s))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex_iff_div strictConvex_iff_divₓ'. -/
 /-- Alternative definition of set strict convexity, using division. -/
 theorem strictConvex_iff_div :
@@ -689,10 +653,7 @@ theorem strictConvex_iff_div :
 #align strict_convex_iff_div strictConvex_iff_div
 
 /- warning: strict_convex.mem_smul_of_zero_mem -> StrictConvex.mem_smul_of_zero_mem is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))))) t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) t (interior.{u2} E _inst_2 s))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))))) t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))))) t (interior.{u1} E _inst_2 s))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_memₓ'. -/
 theorem StrictConvex.mem_smul_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht : 1 < t) : x ∈ t • interior s :=

31ca6f9c

bump to nightly-2023-05-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

fbc7b476

Diff

@@ -196,7 +196,7 @@ theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u4} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u4} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u2, u4} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u4, u1, u2} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (Module.toMulActionWithZero.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u4} E F _inst_2 _inst_3 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) (fun (_x : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) => E -> F) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u4} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (Module.toMulActionWithZero.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u4} E F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) (fun (_x : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) => E -> F) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u4}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u2} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u2} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u4} 𝕝] [_inst_9 : Module.{u4, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u4, u2} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u2} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u2} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u2} E F (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f) s)))
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u4}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u2} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u2} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u4} 𝕝] [_inst_9 : Module.{u4, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u4, u2} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u2} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u2} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u2} E F (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_image StrictConvex.linear_imageₓ'. -/
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
@@ -222,7 +222,7 @@ theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u2, u3} E F _inst_2 _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u2, succ u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f) s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_preimage StrictConvex.linear_preimageₓ'. -/
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=
@@ -260,7 +260,7 @@ protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected
     StrictConvex 𝕜 s :=
   by
   refine' strictConvex_iff_openSegment_subset.2 fun x hx y hy hxy => _
-  cases' hxy.lt_or_lt with hlt hlt <;> [skip, rw [openSegment_symm]] <;>
+  cases' hxy.lt_or_lt with hlt hlt <;> [skip;rw [openSegment_symm]] <;>
     exact
       (openSegment_subset_Ioo hlt).trans
         (is_open_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)

31ca6f9c

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -196,7 +196,7 @@ theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u4} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u4} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u2, u4} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u4, u1, u2} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (Module.toMulActionWithZero.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u4} E F _inst_2 _inst_3 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) (fun (_x : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) => E -> F) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u4} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F _inst_5))) (Module.toMulActionWithZero.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u4} E F (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) (fun (_x : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) => E -> F) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u4}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u2} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u2} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u4} 𝕝] [_inst_9 : Module.{u4, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u4, u2} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u2} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u2} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u2} E F (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f) s)))
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u4}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u2} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u2} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u4} 𝕝] [_inst_9 : Module.{u4, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u4, u2} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u2} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u2} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u2} E F (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_image StrictConvex.linear_imageₓ'. -/
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
@@ -222,7 +222,7 @@ theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u2, u3} E F _inst_2 _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u2, succ u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f) s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.linear_preimage StrictConvex.linear_preimageₓ'. -/
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=

31ca6f9c

bump to nightly-2023-05-16-22

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

00d01a10

Diff

@@ -607,7 +607,7 @@ theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) s) -> (forall {f : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (Continuous.{u2, u3} E F _inst_2 _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (Function.Injective.{succ u2, succ u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) s) -> (forall {f : AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} F (SubNegZeroMonoid.toNegZeroClass.{u3} F (SubtractionMonoid.toSubNegZeroMonoid.{u3} F (SubtractionCommMonoid.toSubtractionMonoid.{u3} F (AddCommGroup.toDivisionAddCommMonoid.{u3} F _inst_5))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) s) -> (forall {f : AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.affine_preimage StrictConvex.affine_preimageₓ'. -/
 /-- The preimage of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F}
@@ -623,7 +623,7 @@ theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall {f : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (IsOpenMap.{u2, u3} E F _inst_2 _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (StrictConvex.{u1, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) (Set.image.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : OrderedRing.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u1} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u1} F] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5)] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall {f : AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))}, (IsOpenMap.{u2, u1} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f)) -> (StrictConvex.{u3, u1} 𝕜 F (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) _inst_7)))) (Set.image.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f) s)))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : OrderedRing.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u1} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u1} F] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5)] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall {f : AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))}, (IsOpenMap.{u2, u1} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f)) -> (StrictConvex.{u3, u1} 𝕜 F (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) _inst_7)))) (Set.image.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f) s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.affine_image StrictConvex.affine_imageₓ'. -/
 /-- The image of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F} (hf : IsOpenMap f) :

31ca6f9c

bump to nightly-2023-05-16-16

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

9cb92e8c

Diff

@@ -102,7 +102,7 @@ theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
 
 /- warning: strict_convex.eq -> StrictConvex.eq is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {x : E} {y : E} {a : 𝕜} {b : 𝕜}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) b) -> (Eq.{succ u1} 𝕜 (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))) a b) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocSemiring.toAddCommMonoidWithOne.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))))))) -> (Not (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)))) (SMul.smul.{u1, u2} 𝕜 E _inst_6 a x) (SMul.smul.{u1, u2} 𝕜 E _inst_6 b y)) (interior.{u2} E _inst_2 s))) -> (Eq.{succ u2} E x y)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {x : E} {y : E} {a : 𝕜} {b : 𝕜}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) b) -> (Eq.{succ u1} 𝕜 (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))) a b) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocSemiring.toAddCommMonoidWithOne.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))))))) -> (Not (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)))) (SMul.smul.{u1, u2} 𝕜 E _inst_6 a x) (SMul.smul.{u1, u2} 𝕜 E _inst_6 b y)) (interior.{u2} E _inst_2 s))) -> (Eq.{succ u2} E x y)
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E} {x : E} {y : E} {a : 𝕜} {b : 𝕜}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedSemiring.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) a) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedSemiring.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) b) -> (Eq.{succ u2} 𝕜 (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))))) a b) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) -> (Not (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E _inst_6) a x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E _inst_6) b y)) (interior.{u1} E _inst_2 s))) -> (Eq.{succ u1} E x y)
 Case conversion may be inaccurate. Consider using '#align strict_convex.eq StrictConvex.eqₓ'. -/
@@ -546,7 +546,7 @@ variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s t
 
 /- warning: strict_convex.eq_of_open_segment_subset_frontier -> StrictConvex.eq_of_openSegment_subset_frontier is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u1} 𝕜] [_inst_9 : DenselyOrdered.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1))))], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) x y) (frontier.{u2} E _inst_2 s)) -> (Eq.{succ u2} E x y)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u1} 𝕜] [_inst_9 : DenselyOrdered.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1))))], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) x y) (frontier.{u2} E _inst_2 s)) -> (Eq.{succ u2} E x y)
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u2} 𝕜] [_inst_9 : DenselyOrdered.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1)))], (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) x y) (frontier.{u1} E _inst_2 s)) -> (Eq.{succ u1} E x y)
 Case conversion may be inaccurate. Consider using '#align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontierₓ'. -/
@@ -563,7 +563,7 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
 
 /- warning: strict_convex.add_smul_mem -> StrictConvex.add_smul_mem is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x y) s) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t y)) (interior.{u2} E _inst_2 s)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x y) s) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t y)) (interior.{u2} E _inst_2 s)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x y) s) -> (Ne.{succ u1} E y (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t y)) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_mem StrictConvex.add_smul_memₓ'. -/
@@ -580,7 +580,7 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
 
 /- warning: strict_convex.smul_mem_of_zero_mem -> StrictConvex.smul_mem_of_zero_mem is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t x) (interior.{u2} E _inst_2 s)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t x) (interior.{u2} E _inst_2 s)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t x) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_memₓ'. -/
@@ -591,7 +591,7 @@ theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem :
 
 /- warning: strict_convex.add_smul_sub_mem -> StrictConvex.add_smul_sub_mem is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))) y x))) (interior.{u2} E _inst_2 s)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))) y x))) (interior.{u2} E _inst_2 s)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))) y x))) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_memₓ'. -/
@@ -671,7 +671,7 @@ variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s :
 
 /- warning: strict_convex_iff_div -> strictConvex_iff_div is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E}, Iff (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u2} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) b) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) a (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) x) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) b (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) y)) (interior.{u2} E _inst_2 s))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E}, Iff (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u2} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) b) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) a (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) x) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) b (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) y)) (interior.{u2} E _inst_2 s))))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E}, Iff (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u1} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) a) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) b) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_3)))))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) a (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) b (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) y)) (interior.{u1} E _inst_2 s))))
 Case conversion may be inaccurate. Consider using '#align strict_convex_iff_div strictConvex_iff_divₓ'. -/
@@ -690,7 +690,7 @@ theorem strictConvex_iff_div :
 
 /- warning: strict_convex.mem_smul_of_zero_mem -> StrictConvex.mem_smul_of_zero_mem is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))))) t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) t (interior.{u2} E _inst_2 s))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))))) t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) t (interior.{u2} E _inst_2 s))))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))))) t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))))) t (interior.{u1} E _inst_2 s))))
 Case conversion may be inaccurate. Consider using '#align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_memₓ'. -/

31ca6f9c

bump to nightly-2023-05-14-08

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

d31da313

Diff

@@ -124,8 +124,8 @@ protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht
   exact ⟨hs hx.1 hy.1 hxy ha hb hab, ht hx.2 hy.2 hxy ha hb hab⟩
 #align strict_convex.inter StrictConvex.inter
 
-#print Directed.strictConvex_unionᵢ /-
-theorem Directed.strictConvex_unionᵢ {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
+#print Directed.strictConvex_iUnion /-
+theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) :=
   by
   rintro x hx y hy hxy a b ha hb hab
@@ -134,16 +134,16 @@ theorem Directed.strictConvex_unionᵢ {ι : Sort _} {s : ι → Set E} (hdir :
   obtain ⟨j, hy⟩ := hy
   obtain ⟨k, hik, hjk⟩ := hdir i j
   exact interior_mono (subset_Union s k) (hs (hik hx) (hjk hy) hxy ha hb hab)
-#align directed.strict_convex_Union Directed.strictConvex_unionᵢ
+#align directed.strict_convex_Union Directed.strictConvex_iUnion
 -/
 
-#print DirectedOn.strictConvex_unionₛ /-
-theorem DirectedOn.strictConvex_unionₛ {S : Set (Set E)} (hdir : DirectedOn (· ⊆ ·) S)
+#print DirectedOn.strictConvex_sUnion /-
+theorem DirectedOn.strictConvex_sUnion {S : Set (Set E)} (hdir : DirectedOn (· ⊆ ·) S)
     (hS : ∀ s ∈ S, StrictConvex 𝕜 s) : StrictConvex 𝕜 (⋃₀ S) :=
   by
   rw [sUnion_eq_Union]
-  exact (directedOn_iff_directed.1 hdir).strictConvex_unionᵢ fun s => hS _ s.2
-#align directed_on.strict_convex_sUnion DirectedOn.strictConvex_unionₛ
+  exact (directedOn_iff_directed.1 hdir).strictConvex_iUnion fun s => hS _ s.2
+#align directed_on.strict_convex_sUnion DirectedOn.strictConvex_sUnion
 -/
 
 end SMul

31ca6f9c

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -565,7 +565,7 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x y) s) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t y)) (interior.{u2} E _inst_2 s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x y) s) -> (Ne.{succ u1} E y (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t y)) (interior.{u1} E _inst_2 s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x y) s) -> (Ne.{succ u1} E y (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t y)) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_mem StrictConvex.add_smul_memₓ'. -/
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)
     (hy : y ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • y ∈ interior s :=
@@ -582,7 +582,7 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t x) (interior.{u2} E _inst_2 s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t x) (interior.{u1} E _inst_2 s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t x) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_memₓ'. -/
 theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : t • x ∈ interior s := by
@@ -593,7 +593,7 @@ theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))) y x))) (interior.{u2} E _inst_2 s)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))) y x))) (interior.{u1} E _inst_2 s)))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))) y x))) (interior.{u1} E _inst_2 s)))
 Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_memₓ'. -/
 theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (hxy : x ≠ y)
     {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • (y - x) ∈ interior s :=
@@ -692,7 +692,7 @@ theorem strictConvex_iff_div :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))))) t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) t (interior.{u2} E _inst_2 s))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))) t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))))) t (interior.{u1} E _inst_2 s))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))))) t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))))) t (interior.{u1} E _inst_2 s))))
 Case conversion may be inaccurate. Consider using '#align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_memₓ'. -/
 theorem StrictConvex.mem_smul_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht : 1 < t) : x ∈ t • interior s :=

31ca6f9c

bump to nightly-2023-04-04-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

2ee17135

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
 
 ! This file was ported from Lean 3 source module analysis.convex.strict
-! leanprover-community/mathlib commit 84dc0bd6619acaea625086d6f53cb35cdd554219
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Algebra.Order.Group
 /-!
 # Strictly convex sets
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines strictly convex sets.
 
 A set is strictly convex if the open segment between any two distinct points lies in its interior.

84dc0bd6

bump to nightly-2023-03-28-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/728baa2f54e6062c5879a3e397ac6bac323e506f

f03ff30c

Diff

@@ -42,28 +42,54 @@ section SMul
 
 variable (𝕜) [SMul 𝕜 E] [SMul 𝕜 F] (s : Set E)
 
+#print StrictConvex /-
 /-- A set is strictly convex if the open segment between any two distinct points lies is in its
 interior. This basically means "convex and not flat on the boundary". -/
 def StrictConvex : Prop :=
   s.Pairwise fun x y => ∀ ⦃a b : 𝕜⦄, 0 < a → 0 < b → a + b = 1 → a • x + b • y ∈ interior s
 #align strict_convex StrictConvex
+-/
 
 variable {𝕜 s} {x y : E} {a b : 𝕜}
 
+/- warning: strict_convex_iff_open_segment_subset -> strictConvex_iff_openSegment_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E}, Iff (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) (Set.Pairwise.{u2} E s (fun (x : E) (y : E) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u2} E _inst_2 s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E}, Iff (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) (Set.Pairwise.{u1} E s (fun (x : E) (y : E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u1} E _inst_2 s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex_iff_open_segment_subset strictConvex_iff_openSegment_subsetₓ'. -/
 theorem strictConvex_iff_openSegment_subset :
     StrictConvex 𝕜 s ↔ s.Pairwise fun x y => openSegment 𝕜 x y ⊆ interior s :=
   forall₅_congr fun x hx y hy hxy => (openSegment_subset_iff 𝕜).symm
 #align strict_convex_iff_open_segment_subset strictConvex_iff_openSegment_subset
 
+/- warning: strict_convex.open_segment_subset -> StrictConvex.openSegment_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u2} E _inst_2 s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E _inst_1 _inst_4 _inst_6 x y) (interior.{u1} E _inst_2 s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.open_segment_subset StrictConvex.openSegment_subsetₓ'. -/
 theorem StrictConvex.openSegment_subset (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s)
     (h : x ≠ y) : openSegment 𝕜 x y ⊆ interior s :=
   strictConvex_iff_openSegment_subset.1 hs hx hy h
 #align strict_convex.open_segment_subset StrictConvex.openSegment_subset
 
+/- warning: strict_convex_empty -> strictConvex_empty is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E], StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E], StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (EmptyCollection.emptyCollection.{u1} (Set.{u1} E) (Set.instEmptyCollectionSet.{u1} E))
+Case conversion may be inaccurate. Consider using '#align strict_convex_empty strictConvex_emptyₓ'. -/
 theorem strictConvex_empty : StrictConvex 𝕜 (∅ : Set E) :=
   pairwise_empty _
 #align strict_convex_empty strictConvex_empty
 
+/- warning: strict_convex_univ -> strictConvex_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E], StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Set.univ.{u2} E)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E], StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Set.univ.{u1} E)
+Case conversion may be inaccurate. Consider using '#align strict_convex_univ strictConvex_univₓ'. -/
 theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
   by
   intro x hx y hy hxy a b ha hb hab
@@ -71,11 +97,23 @@ theorem strictConvex_univ : StrictConvex 𝕜 (univ : Set E) :=
   exact mem_univ _
 #align strict_convex_univ strictConvex_univ
 
+/- warning: strict_convex.eq -> StrictConvex.eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {x : E} {y : E} {a : 𝕜} {b : 𝕜}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) b) -> (Eq.{succ u1} 𝕜 (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))) a b) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} 𝕜 (NonAssocSemiring.toAddCommMonoidWithOne.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))))))) -> (Not (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)))) (SMul.smul.{u1, u2} 𝕜 E _inst_6 a x) (SMul.smul.{u1, u2} 𝕜 E _inst_6 b y)) (interior.{u2} E _inst_2 s))) -> (Eq.{succ u2} E x y)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : SMul.{u2, u1} 𝕜 E] {s : Set.{u1} E} {x : E} {y : E} {a : 𝕜} {b : 𝕜}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedSemiring.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) a) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedSemiring.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) b) -> (Eq.{succ u2} 𝕜 (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))))) a b) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (Semiring.toOne.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) -> (Not (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E _inst_6) a x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E _inst_6) b y)) (interior.{u1} E _inst_2 s))) -> (Eq.{succ u1} E x y)
+Case conversion may be inaccurate. Consider using '#align strict_convex.eq StrictConvex.eqₓ'. -/
 protected theorem StrictConvex.eq (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (ha : 0 < a)
     (hb : 0 < b) (hab : a + b = 1) (h : a • x + b • y ∉ interior s) : x = y :=
   hs.Eq hx hy fun H => h <| H ha hb hab
 #align strict_convex.eq StrictConvex.eq
 
+/- warning: strict_convex.inter -> StrictConvex.inter is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {t : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 t) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {t : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 s) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 t) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 _inst_6 (Inter.inter.{u2} (Set.{u2} E) (Set.instInterSet.{u2} E) s t))
+Case conversion may be inaccurate. Consider using '#align strict_convex.inter StrictConvex.interₓ'. -/
 protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
     StrictConvex 𝕜 (s ∩ t) := by
   intro x hx y hy hxy a b ha hb hab
@@ -83,6 +121,7 @@ protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht
   exact ⟨hs hx.1 hy.1 hxy ha hb hab, ht hx.2 hy.2 hxy ha hb hab⟩
 #align strict_convex.inter StrictConvex.inter
 
+#print Directed.strictConvex_unionᵢ /-
 theorem Directed.strictConvex_unionᵢ {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) :=
   by
@@ -93,13 +132,16 @@ theorem Directed.strictConvex_unionᵢ {ι : Sort _} {s : ι → Set E} (hdir :
   obtain ⟨k, hik, hjk⟩ := hdir i j
   exact interior_mono (subset_Union s k) (hs (hik hx) (hjk hy) hxy ha hb hab)
 #align directed.strict_convex_Union Directed.strictConvex_unionᵢ
+-/
 
+#print DirectedOn.strictConvex_unionₛ /-
 theorem DirectedOn.strictConvex_unionₛ {S : Set (Set E)} (hdir : DirectedOn (· ⊆ ·) S)
     (hS : ∀ s ∈ S, StrictConvex 𝕜 s) : StrictConvex 𝕜 (⋃₀ S) :=
   by
   rw [sUnion_eq_Union]
   exact (directedOn_iff_directed.1 hdir).strictConvex_unionᵢ fun s => hS _ s.2
 #align directed_on.strict_convex_sUnion DirectedOn.strictConvex_unionₛ
+-/
 
 end SMul
 
@@ -107,28 +149,52 @@ section Module
 
 variable [Module 𝕜 E] [Module 𝕜 F] {s : Set E}
 
+/- warning: strict_convex.convex -> StrictConvex.convex is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (Convex.{u1, u2} 𝕜 E _inst_1 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (Convex.{u2, u1} 𝕜 E _inst_1 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) s)
+Case conversion may be inaccurate. Consider using '#align strict_convex.convex StrictConvex.convexₓ'. -/
 protected theorem StrictConvex.convex (hs : StrictConvex 𝕜 s) : Convex 𝕜 s :=
   convex_iff_pairwise_pos.2 fun x hx y hy hxy a b ha hb hab =>
     interior_subset <| hs hx hy hxy ha hb hab
 #align strict_convex.convex StrictConvex.convex
 
+#print Convex.strictConvex_of_open /-
 /-- An open convex set is strictly convex. -/
 protected theorem Convex.strictConvex_of_open (h : IsOpen s) (hs : Convex 𝕜 s) : StrictConvex 𝕜 s :=
   fun x hx y hy _ a b ha hb hab => h.interior_eq.symm ▸ hs hx hy ha.le hb.le hab
 #align convex.strict_convex_of_open Convex.strictConvex_of_open
+-/
 
+#print IsOpen.strictConvex_iff /-
 theorem IsOpen.strictConvex_iff (h : IsOpen s) : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
   ⟨StrictConvex.convex, Convex.strictConvex_of_open h⟩
 #align is_open.strict_convex_iff IsOpen.strictConvex_iff
+-/
 
+/- warning: strict_convex_singleton -> strictConvex_singleton is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommMonoid.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] (c : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) c)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommMonoid.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] (c : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Singleton.singleton.{u1, u1} E (Set.{u1} E) (Set.instSingletonSet.{u1} E) c)
+Case conversion may be inaccurate. Consider using '#align strict_convex_singleton strictConvex_singletonₓ'. -/
 theorem strictConvex_singleton (c : E) : StrictConvex 𝕜 ({c} : Set E) :=
   pairwise_singleton _ _
 #align strict_convex_singleton strictConvex_singleton
 
+#print Set.Subsingleton.strictConvex /-
 theorem Set.Subsingleton.strictConvex (hs : s.Subsingleton) : StrictConvex 𝕜 s :=
   hs.Pairwise _
 #align set.subsingleton.strict_convex Set.Subsingleton.strictConvex
+-/
 
+/- warning: strict_convex.linear_image -> StrictConvex.linear_image is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} {F : Type.{u4}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u4} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u4} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u4} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u2, u4} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u4, u1, u2} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 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u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) (fun (_x : LinearMap.{u2, u2, u3, u4} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) => E -> F) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u2} 𝕝 (Semiring.toNonAssocSemiring.{u2} 𝕝 _inst_8))) f) s)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u4}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_3 : TopologicalSpace.{u2} F] [_inst_4 : AddCommMonoid.{u3} E] [_inst_5 : AddCommMonoid.{u2} F] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} E} [_inst_8 : Semiring.{u4} 𝕝] [_inst_9 : Module.{u4, u3} 𝕝 E _inst_8 _inst_4] [_inst_10 : Module.{u4, u2} 𝕝 F _inst_8 _inst_5] [_inst_11 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} E F _inst_4 _inst_5 𝕜 𝕝 _inst_8 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) _inst_10], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} E (AddCommMonoid.toAddMonoid.{u3} E _inst_4)) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall (f : LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10), (IsOpenMap.{u3, u2} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f)) -> (StrictConvex.{u1, u2} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u1, u2} 𝕜 F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 F (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F _inst_5)) (Module.toMulActionWithZero.{u1, u2} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u3, u2} E F (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} 𝕝 𝕝 _inst_8 _inst_8 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8)) E F _inst_4 _inst_5 _inst_9 _inst_10) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 𝕝 𝕝 E F _inst_8 _inst_8 _inst_4 _inst_5 _inst_9 _inst_10 (RingHom.id.{u4} 𝕝 (Semiring.toNonAssocSemiring.{u4} 𝕝 _inst_8))) f) s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.linear_image StrictConvex.linear_imageₓ'. -/
 theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F]
     [LinearMap.CompatibleSMul E F 𝕜 𝕝] (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕝] F) (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -138,11 +204,23 @@ theorem StrictConvex.linear_image [Semiring 𝕝] [Module 𝕝 E] [Module 𝕝 F
   rw [map_add, f.map_smul_of_tower a, f.map_smul_of_tower b]
 #align strict_convex.linear_image StrictConvex.linear_image
 
+/- warning: strict_convex.is_linear_image -> StrictConvex.is_linear_image is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u1, u2, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (IsOpenMap.{u2, u3} E F _inst_2 _inst_3 f) -> (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u2, u3} E F f s)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : OrderedSemiring.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u1} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u1} F] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_5] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4 _inst_6)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u3, u2, u1} 𝕜 E F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (IsOpenMap.{u2, u1} E F _inst_2 _inst_3 f) -> (StrictConvex.{u3, u1} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_5)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) _inst_5 _inst_7)))) (Set.image.{u2, u1} E F f s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.is_linear_image StrictConvex.is_linear_imageₓ'. -/
 theorem StrictConvex.is_linear_image (hs : StrictConvex 𝕜 s) {f : E → F} (h : IsLinearMap 𝕜 f)
     (hf : IsOpenMap f) : StrictConvex 𝕜 (f '' s) :=
   hs.linear_image (h.mk' f) hf
 #align strict_convex.is_linear_image StrictConvex.is_linear_image
 
+/- warning: strict_convex.linear_preimage -> StrictConvex.linear_preimage is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, 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(MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))) f) s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall (f : LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7), (Continuous.{u1, u3} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (Function.Injective.{succ u1, succ u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f)) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} 𝕜 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) E F _inst_4 _inst_5 _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} 𝕜 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)))) f) s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.linear_preimage StrictConvex.linear_preimageₓ'. -/
 theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f : E →ₗ[𝕜] F)
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (s.Preimage f) :=
   by
@@ -152,6 +230,12 @@ theorem StrictConvex.linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) (f :
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.linear_preimage StrictConvex.linear_preimage
 
+/- warning: strict_convex.is_linear_preimage -> StrictConvex.is_linear_preimage is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u2} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u1, u2, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (Continuous.{u2, u3} E F _inst_2 _inst_3 f) -> (Function.Injective.{succ u2, succ u3} E F f) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_4))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u2, u3} E F f s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} {F : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommMonoid.{u1} E] [_inst_5 : AddCommMonoid.{u3} F] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4] [_inst_7 : Module.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5] {s : Set.{u3} F}, (StrictConvex.{u2, u3} 𝕜 F _inst_1 _inst_3 _inst_5 (SMulZeroClass.toSMul.{u2, u3} 𝕜 F (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 F (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 F (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_5)) (Module.toMulActionWithZero.{u2, u3} 𝕜 F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_5 _inst_7)))) s) -> (forall {f : E -> F}, (IsLinearMap.{u2, u1, u3} 𝕜 E F (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_5 _inst_6 _inst_7 f) -> (Continuous.{u1, u3} E F _inst_2 _inst_3 f) -> (Function.Injective.{succ u1, succ u3} E F f) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_4 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_4)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_4 _inst_6)))) (Set.preimage.{u1, u3} E F f s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.is_linear_preimage StrictConvex.is_linear_preimageₓ'. -/
 theorem StrictConvex.is_linear_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E → F}
     (h : IsLinearMap 𝕜 f) (hf : Continuous f) (hfinj : Injective f) :
     StrictConvex 𝕜 (s.Preimage f) :=
@@ -163,6 +247,12 @@ section LinearOrderedCancelAddCommMonoid
 variable [TopologicalSpace β] [LinearOrderedCancelAddCommMonoid β] [OrderTopology β] [Module 𝕜 β]
   [OrderedSMul 𝕜 β]
 
+/- warning: set.ord_connected.strict_convex -> Set.OrdConnected.strictConvex is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] {s : Set.{u2} β}, (Set.OrdConnected.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) s) -> (StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] {s : Set.{u2} β}, (Set.OrdConnected.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) s) -> (StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 β (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 β (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u2} β (AddCancelMonoid.toAddRightCancelMonoid.{u2} β (AddCancelCommMonoid.toAddCancelMonoid.{u2} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) s)
+Case conversion may be inaccurate. Consider using '#align set.ord_connected.strict_convex Set.OrdConnected.strictConvexₓ'. -/
 protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected s) :
     StrictConvex 𝕜 s :=
   by
@@ -173,42 +263,102 @@ protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected
         (is_open_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)
 #align set.ord_connected.strict_convex Set.OrdConnected.strictConvex
 
+/- warning: strict_convex_Iic -> strictConvex_Iic is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Iic.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Iic.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Iic strictConvex_Iicₓ'. -/
 theorem strictConvex_Iic (r : β) : StrictConvex 𝕜 (Iic r) :=
   ordConnected_Iic.StrictConvex
 #align strict_convex_Iic strictConvex_Iic
 
+/- warning: strict_convex_Ici -> strictConvex_Ici is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ici.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ici.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Ici strictConvex_Iciₓ'. -/
 theorem strictConvex_Ici (r : β) : StrictConvex 𝕜 (Ici r) :=
   ordConnected_Ici.StrictConvex
 #align strict_convex_Ici strictConvex_Ici
 
+/- warning: strict_convex_Iio -> strictConvex_Iio is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Iio.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Iio.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Iio strictConvex_Iioₓ'. -/
 theorem strictConvex_Iio (r : β) : StrictConvex 𝕜 (Iio r) :=
   ordConnected_Iio.StrictConvex
 #align strict_convex_Iio strictConvex_Iio
 
+/- warning: strict_convex_Ioi -> strictConvex_Ioi is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioi.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioi.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Ioi strictConvex_Ioiₓ'. -/
 theorem strictConvex_Ioi (r : β) : StrictConvex 𝕜 (Ioi r) :=
   ordConnected_Ioi.StrictConvex
 #align strict_convex_Ioi strictConvex_Ioi
 
+/- warning: strict_convex_Icc -> strictConvex_Icc is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Icc.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Icc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Icc strictConvex_Iccₓ'. -/
 theorem strictConvex_Icc (r s : β) : StrictConvex 𝕜 (Icc r s) :=
   ordConnected_Icc.StrictConvex
 #align strict_convex_Icc strictConvex_Icc
 
+/- warning: strict_convex_Ioo -> strictConvex_Ioo is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioo.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioo.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Ioo strictConvex_Iooₓ'. -/
 theorem strictConvex_Ioo (r s : β) : StrictConvex 𝕜 (Ioo r s) :=
   ordConnected_Ioo.StrictConvex
 #align strict_convex_Ioo strictConvex_Ioo
 
+/- warning: strict_convex_Ico -> strictConvex_Ico is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ico.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ico.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Ico strictConvex_Icoₓ'. -/
 theorem strictConvex_Ico (r s : β) : StrictConvex 𝕜 (Ico r s) :=
   ordConnected_Ico.StrictConvex
 #align strict_convex_Ico strictConvex_Ico
 
+/- warning: strict_convex_Ioc -> strictConvex_Ioc is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.Ioc.{u2} β (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.Ioc.{u1} β (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_Ioc strictConvex_Iocₓ'. -/
 theorem strictConvex_Ioc (r s : β) : StrictConvex 𝕜 (Ioc r s) :=
   ordConnected_Ioc.StrictConvex
 #align strict_convex_Ioc strictConvex_Ioc
 
+/- warning: strict_convex_uIcc -> strictConvex_uIcc is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.uIcc.{u2} β (LinearOrder.toLattice.{u2} β (LinearOrderedAddCommMonoid.toLinearOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9))) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.uIcc.{u1} β (DistribLattice.toLattice.{u1} β (instDistribLattice.{u1} β (LinearOrderedAddCommMonoid.toLinearOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)))) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_uIcc strictConvex_uIccₓ'. -/
 theorem strictConvex_uIcc (r s : β) : StrictConvex 𝕜 (uIcc r s) :=
   strictConvex_Icc _ _
 #align strict_convex_uIcc strictConvex_uIcc
 
+/- warning: strict_convex_uIoc -> strictConvex_uIoc is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {β : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_8 : TopologicalSpace.{u2} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u2} β] [_inst_10 : OrderTopology.{u2} β _inst_8 (PartialOrder.toPreorder.{u2} β (OrderedCancelAddCommMonoid.toPartialOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))] [_inst_11 : Module.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))] [_inst_12 : OrderedSMul.{u1, u2} 𝕜 β _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedAddCommMonoid.toAddCommMonoid.{u2} β (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u1, u2} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 β (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 β (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 β (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} β (AddMonoid.toAddZeroClass.{u2} β (AddCommMonoid.toAddMonoid.{u2} β (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 β (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} β _inst_9)) _inst_11)))) (Set.uIoc.{u2} β (LinearOrderedAddCommMonoid.toLinearOrder.{u2} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} β _inst_9)) r s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {β : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_8 : TopologicalSpace.{u1} β] [_inst_9 : LinearOrderedCancelAddCommMonoid.{u1} β] [_inst_10 : OrderTopology.{u1} β _inst_8 (PartialOrder.toPreorder.{u1} β (OrderedCancelAddCommMonoid.toPartialOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)))] [_inst_11 : Module.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))] [_inst_12 : OrderedSMul.{u2, u1} 𝕜 β _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} β (AddCommMonoid.toAddMonoid.{u1} β (OrderedAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11))] (r : β) (s : β), StrictConvex.{u2, u1} 𝕜 β _inst_1 _inst_8 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) (SMulZeroClass.toSMul.{u2, u1} 𝕜 β (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 β (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 β (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} β (AddCancelMonoid.toAddRightCancelMonoid.{u1} β (AddCancelCommMonoid.toAddCancelMonoid.{u1} β (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 β (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} β (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} β _inst_9)) _inst_11)))) (Set.uIoc.{u1} β (LinearOrderedAddCommMonoid.toLinearOrder.{u1} β (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} β _inst_9)) r s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_uIoc strictConvex_uIocₓ'. -/
 theorem strictConvex_uIoc (r s : β) : StrictConvex 𝕜 (uIoc r s) :=
   strictConvex_Ioc _ _
 #align strict_convex_uIoc strictConvex_uIoc
@@ -223,6 +373,12 @@ section AddCancelCommMonoid
 
 variable [AddCancelCommMonoid E] [ContinuousAdd E] [Module 𝕜 E] {s : Set E}
 
+/- warning: strict_convex.preimage_add_right -> StrictConvex.preimage_add_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCancelCommMonoid.{u2} E] [_inst_5 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.preimage.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))) z x) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCancelCommMonoid.{u1} E] [_inst_5 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))) z x) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_add_right StrictConvex.preimage_add_rightₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) ⁻¹' s) :=
@@ -233,6 +389,12 @@ theorem StrictConvex.preimage_add_right (hs : StrictConvex 𝕜 s) (z : E) :
   rwa [smul_add, smul_add, add_add_add_comm, ← add_smul, hab, one_smul] at h
 #align strict_convex.preimage_add_right StrictConvex.preimage_add_right
 
+/- warning: strict_convex.preimage_add_left -> StrictConvex.preimage_add_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCancelCommMonoid.{u2} E] [_inst_5 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.preimage.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddRightCancelMonoid.toAddMonoid.{u2} E (AddCancelMonoid.toAddRightCancelMonoid.{u2} E (AddCancelCommMonoid.toAddCancelMonoid.{u2} E _inst_4)))))) x z) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCancelCommMonoid.{u1} E] [_inst_5 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddRightCancelMonoid.toZero.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCancelCommMonoid.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddRightCancelMonoid.toAddMonoid.{u1} E (AddCancelMonoid.toAddRightCancelMonoid.{u1} E (AddCancelCommMonoid.toAddCancelMonoid.{u1} E _inst_4)))))) x z) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_add_left StrictConvex.preimage_add_leftₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.preimage_add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) ⁻¹' s) := by
@@ -249,6 +411,12 @@ section continuous_add
 
 variable [ContinuousAdd E] {s t : Set E}
 
+/- warning: strict_convex.add -> StrictConvex.add is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E} {t : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t) -> (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (HAdd.hAdd.{u2, u2, u2} (Set.{u2} E) (Set.{u2} E) (Set.{u2} E) (instHAdd.{u2} (Set.{u2} E) (Set.add.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))) s t))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E} {t : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) t) -> (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (HAdd.hAdd.{u1, u1, u1} (Set.{u1} E) (Set.{u1} E) (Set.{u1} E) (instHAdd.{u1} (Set.{u1} E) (Set.add.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))))) s t))
+Case conversion may be inaccurate. Consider using '#align strict_convex.add StrictConvex.addₓ'. -/
 theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s + t) :=
   by
   rintro _ ⟨v, w, hv, hw, rfl⟩ _ ⟨x, y, hx, hy, rfl⟩ h a b ha hb hab
@@ -264,15 +432,33 @@ theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
       (add_mem_add (hs hv hx hvx ha hb hab) <| ht.convex hw hy ha.le hb.le hab)
 #align strict_convex.add StrictConvex.add
 
+/- warning: strict_convex.add_left -> StrictConvex.add_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.image.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) z x) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.image.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) z x) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.add_left StrictConvex.add_leftₓ'. -/
 theorem StrictConvex.add_left (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => z + x) '' s) := by
   simpa only [singleton_add] using (strictConvex_singleton z).add hs
 #align strict_convex.add_left StrictConvex.add_left
 
+/- warning: strict_convex.add_right -> StrictConvex.add_right is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Set.image.{u2, u2} E E (fun (x : E) => HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x z) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (z : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.image.{u1, u1} E E (fun (x : E) => HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x z) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.add_right StrictConvex.add_rightₓ'. -/
 theorem StrictConvex.add_right (hs : StrictConvex 𝕜 s) (z : E) :
     StrictConvex 𝕜 ((fun x => x + z) '' s) := by simpa only [add_comm] using hs.add_left z
 #align strict_convex.add_right StrictConvex.add_right
 
+/- warning: strict_convex.vadd -> StrictConvex.vadd is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : ContinuousAdd.{u2} E _inst_2 (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (x : E), StrictConvex.{u1, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (VAdd.vadd.{u2, u2} E (Set.{u2} E) (Set.vaddSet.{u2, u2} E E (Add.toVAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))) x s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_8 : ContinuousAdd.{u1} E _inst_2 (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (forall (x : E), StrictConvex.{u2, u1} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (HVAdd.hVAdd.{u1, u1, u1} E (Set.{u1} E) (Set.{u1} E) (instHVAdd.{u1, u1} E (Set.{u1} E) (Set.vaddSet.{u1, u1} E E (AddAction.toVAdd.{u1, u1} E E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))) (AddTorsor.toAddAction.{u1, u1} E E (AddCommGroup.toAddGroup.{u1} E _inst_4) (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.vadd StrictConvex.vaddₓ'. -/
 /-- The translation of a strictly convex set is also strictly convex. -/
 theorem StrictConvex.vadd (hs : StrictConvex 𝕜 s) (x : E) : StrictConvex 𝕜 (x +ᵥ s) :=
   hs.add_left x
@@ -285,6 +471,12 @@ section ContinuousSmul
 variable [LinearOrderedField 𝕝] [Module 𝕝 E] [ContinuousConstSMul 𝕝 E]
   [LinearMap.CompatibleSMul E E 𝕜 𝕝] {s : Set E} {x : E}
 
+/- warning: strict_convex.smul -> StrictConvex.smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_4 : AddCommGroup.{u3} E] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_8 : LinearOrderedField.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u2, u3} 𝕝 E _inst_2 (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u1, u2} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u3} E}, (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (c : 𝕝), StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (SMul.smul.{u2, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u2, u3} 𝕝 E (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))) c s))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_8 : LinearOrderedField.{u1} 𝕝] [_inst_9 : Module.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u1, u2} 𝕝 E _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u2, u2, u3, u1} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) 𝕜 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall (c : 𝕝), StrictConvex.{u3, u2} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (HSMul.hSMul.{u1, u2, u2} 𝕝 (Set.{u2} E) (Set.{u2} E) (instHSMul.{u1, u2} 𝕝 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕝 E (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_9)))))) c s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.smul StrictConvex.smulₓ'. -/
 theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 𝕜 (c • s) :=
   by
   obtain rfl | hc := eq_or_ne c 0
@@ -292,6 +484,12 @@ theorem StrictConvex.smul (hs : StrictConvex 𝕜 s) (c : 𝕝) : StrictConvex 
   · exact hs.linear_image (LinearMap.lsmul _ _ c) (isOpenMap_smul₀ hc)
 #align strict_convex.smul StrictConvex.smul
 
+/- warning: strict_convex.affinity -> StrictConvex.affinity is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕝 : Type.{u2}} {E : Type.{u3}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_4 : AddCommGroup.{u3} E] [_inst_6 : Module.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_8 : LinearOrderedField.{u2} 𝕝] [_inst_9 : Module.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u2, u3} 𝕝 E _inst_2 (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u1, u2} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u3} E} [_inst_12 : ContinuousAdd.{u3} E _inst_2 (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))], (StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (z : E) (c : 𝕝), StrictConvex.{u1, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (VAdd.vadd.{u3, u3} E (Set.{u3} E) (Set.vaddSet.{u3, u3} E E (Add.toVAdd.{u3} E (AddZeroClass.toHasAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4))))))) z (SMul.smul.{u2, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u2, u3} 𝕝 E (SMulZeroClass.toHasSmul.{u2, u3} 𝕝 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕝 E (MulZeroClass.toHasZero.{u2} 𝕝 (MulZeroOneClass.toMulZeroClass.{u2} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕝 (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕝 E (Semiring.toMonoidWithZero.{u2} 𝕝 (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u2, u3} 𝕝 E (Ring.toSemiring.{u2} 𝕝 (DivisionRing.toRing.{u2} 𝕝 (Field.toDivisionRing.{u2} 𝕝 (LinearOrderedField.toField.{u2} 𝕝 _inst_8)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))) c s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕝 : Type.{u1}} {E : Type.{u3}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u3} E] [_inst_4 : AddCommGroup.{u3} E] [_inst_6 : Module.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_8 : LinearOrderedField.{u1} 𝕝] [_inst_9 : Module.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_10 : ContinuousConstSMul.{u1, u3} 𝕝 E _inst_2 (SMulZeroClass.toSMul.{u1, u3} 𝕝 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9))))] [_inst_11 : LinearMap.CompatibleSMul.{u3, u3, u2, u1} E E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) 𝕜 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9 (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) _inst_9] {s : Set.{u3} E} [_inst_12 : ContinuousAdd.{u3} E _inst_2 (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))], (StrictConvex.{u2, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) s) -> (forall (z : E) (c : 𝕝), StrictConvex.{u2, u3} 𝕜 E _inst_1 _inst_2 (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (HVAdd.hVAdd.{u3, u3, u3} E (Set.{u3} E) (Set.{u3} E) (instHVAdd.{u3, u3} E (Set.{u3} E) (Set.vaddSet.{u3, u3} E E (AddAction.toVAdd.{u3, u3} E E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4))) (AddTorsor.toAddAction.{u3, u3} E E (AddCommGroup.toAddGroup.{u3} E _inst_4) (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_4)))))) z (HSMul.hSMul.{u1, u3, u3} 𝕝 (Set.{u3} E) (Set.{u3} E) (instHSMul.{u1, u3} 𝕝 (Set.{u3} E) (Set.smulSet.{u1, u3} 𝕝 E (SMulZeroClass.toSMul.{u1, u3} 𝕝 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕝 E (CommMonoidWithZero.toZero.{u1} 𝕝 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕝 (Semifield.toCommGroupWithZero.{u1} 𝕝 (LinearOrderedSemifield.toSemifield.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_4))))) (Module.toMulActionWithZero.{u1, u3} 𝕝 E (StrictOrderedSemiring.toSemiring.{u1} 𝕝 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕝 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕝 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕝 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕝 _inst_8))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_9)))))) c s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.affinity StrictConvex.affinityₓ'. -/
 theorem StrictConvex.affinity [ContinuousAdd E] (hs : StrictConvex 𝕜 s) (z : E) (c : 𝕝) :
     StrictConvex 𝕜 (z +ᵥ c • s) :=
   (hs.smul c).vadd z
@@ -312,6 +510,12 @@ section AddCommGroup
 variable [AddCommGroup E] [Module 𝕜 E] [NoZeroSMulDivisors 𝕜 E] [ContinuousConstSMul 𝕜 E]
   {s : Set E}
 
+/- warning: strict_convex.preimage_smul -> StrictConvex.preimage_smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedCommSemiring.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_5 : NoZeroSMulDivisors.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] [_inst_6 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) s) -> (forall (c : 𝕜), StrictConvex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Set.preimage.{u2, u2} E E (fun (z : E) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) c z) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedCommSemiring.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))] [_inst_6 : ContinuousConstSMul.{u2, u1} 𝕜 E _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))] {s : Set.{u1} E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) s) -> (forall (c : 𝕜), StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (Set.preimage.{u1, u1} E E (fun (z : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommSemiring.toCommMonoidWithZero.{u2} 𝕜 (OrderedCommSemiring.toCommSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4))))) c z) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.preimage_smul StrictConvex.preimage_smulₓ'. -/
 theorem StrictConvex.preimage_smul (hs : StrictConvex 𝕜 s) (c : 𝕜) :
     StrictConvex 𝕜 ((fun z => c • z) ⁻¹' s) := by
   classical
@@ -337,6 +541,12 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s t : Set E} {x y : E}
 
+/- warning: strict_convex.eq_of_open_segment_subset_frontier -> StrictConvex.eq_of_openSegment_subset_frontier is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u1} 𝕜] [_inst_9 : DenselyOrdered.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1))))], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (openSegment.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) x y) (frontier.{u2} E _inst_2 s)) -> (Eq.{succ u2} E x y)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E} [_inst_8 : Nontrivial.{u2} 𝕜] [_inst_9 : DenselyOrdered.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1)))], (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (openSegment.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) x y) (frontier.{u1} E _inst_2 s)) -> (Eq.{succ u1} E x y)
+Case conversion may be inaccurate. Consider using '#align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontierₓ'. -/
 theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [DenselyOrdered 𝕜]
     (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (h : openSegment 𝕜 x y ⊆ frontier s) :
     x = y := by
@@ -348,6 +558,12 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
         (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 
+/- warning: strict_convex.add_smul_mem -> StrictConvex.add_smul_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x y) s) -> (Ne.{succ u2} E y (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t y)) (interior.{u2} E _inst_2 s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x y) s) -> (Ne.{succ u1} E y (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t y)) (interior.{u1} E _inst_2 s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_mem StrictConvex.add_smul_memₓ'. -/
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)
     (hy : y ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • y ∈ interior s :=
   by
@@ -359,11 +575,23 @@ theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy
   rw [← h, add_zero]
 #align strict_convex.add_smul_mem StrictConvex.add_smul_mem
 
+/- warning: strict_convex.smul_mem_of_zero_mem -> StrictConvex.smul_mem_of_zero_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t x) (interior.{u2} E _inst_2 s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t x) (interior.{u1} E _inst_2 s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_memₓ'. -/
 theorem StrictConvex.smul_mem_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : t • x ∈ interior s := by
   simpa using hs.add_smul_mem zero_mem (by simpa using hx) hx₀ ht₀ ht₁
 #align strict_convex.smul_mem_of_zero_mem StrictConvex.smul_mem_of_zero_mem
 
+/- warning: strict_convex.add_smul_sub_mem -> StrictConvex.add_smul_sub_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {x : E} {y : E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Ne.{succ u2} E x y) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) t) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (OrderedRing.toOrderedAddCommGroup.{u1} 𝕜 _inst_1)))) t (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))) y x))) (interior.{u2} E _inst_2 s)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {x : E} {y : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y s) -> (Ne.{succ u1} E x y) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))))) t) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedRing.toPartialOrder.{u2} 𝕜 _inst_1))) t (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (OrderedRing.toRing.{u2} 𝕜 _inst_1)))))) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))))) x (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) t (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)))) y x))) (interior.{u1} E _inst_2 s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_memₓ'. -/
 theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (hy : y ∈ s) (hxy : x ≠ y)
     {t : 𝕜} (ht₀ : 0 < t) (ht₁ : t < 1) : x + t • (y - x) ∈ interior s :=
   by
@@ -372,6 +600,12 @@ theorem StrictConvex.add_smul_sub_mem (h : StrictConvex 𝕜 s) (hx : x ∈ s) (
   exact mem_image_of_mem _ ⟨ht₀, ht₁⟩
 #align strict_convex.add_smul_sub_mem StrictConvex.add_smul_sub_mem
 
+/- warning: strict_convex.affine_preimage -> StrictConvex.affine_preimage is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u3} F}, (StrictConvex.{u1, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) s) -> (forall {f : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (Continuous.{u2, u3} E F _inst_2 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+but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Set.preimage.{u1, u3} E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (AffineMap.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u2, u1, u1, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u2} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.affine_preimage StrictConvex.affine_preimageₓ'. -/
 /-- The preimage of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F}
     (hf : Continuous f) (hfinj : Injective f) : StrictConvex 𝕜 (f ⁻¹' s) :=
@@ -382,6 +616,12 @@ theorem StrictConvex.affine_preimage {s : Set F} (hs : StrictConvex 𝕜 s) {f :
   exact hs hx hy (hfinj.ne hxy) ha hb hab
 #align strict_convex.affine_preimage StrictConvex.affine_preimage
 
+/- warning: strict_convex.affine_image -> StrictConvex.affine_image is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u3} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] {s : Set.{u2} E}, (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall {f : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))}, (IsOpenMap.{u2, u3} E F _inst_2 _inst_3 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f)) -> (StrictConvex.{u1, u3} 𝕜 F (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_7)))) (Set.image.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) (fun (_x : AffineMap.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) => E -> F) (AffineMap.hasCoeToFun.{u1, u2, u2, u3, u3} 𝕜 E E F F (OrderedRing.toRing.{u1} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5))) f) s)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : OrderedRing.{u3} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : TopologicalSpace.{u1} F] [_inst_4 : AddCommGroup.{u2} E] [_inst_5 : AddCommGroup.{u1} F] [_inst_6 : Module.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] [_inst_7 : Module.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5)] {s : Set.{u2} E}, (StrictConvex.{u3, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_4))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (forall {f : AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))}, (IsOpenMap.{u2, u1} E F _inst_2 _inst_3 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f)) -> (StrictConvex.{u3, u1} 𝕜 F (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1) _inst_3 (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} F (SubNegZeroMonoid.toNegZeroClass.{u1} F (SubtractionMonoid.toSubNegZeroMonoid.{u1} F (SubtractionCommMonoid.toSubtractionMonoid.{u1} F (AddCommGroup.toDivisionAddCommMonoid.{u1} F _inst_5))))) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (OrderedSemiring.toSemiring.{u3} 𝕜 (OrderedRing.toOrderedSemiring.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} F _inst_5) _inst_7)))) (Set.image.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AffineMap.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => F) _x) (AffineMap.funLike.{u3, u2, u2, u1, u1} 𝕜 E E F F (OrderedRing.toRing.{u3} 𝕜 _inst_1) _inst_4 _inst_6 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)) _inst_5 _inst_7 (addGroupIsAddTorsor.{u1} F (AddCommGroup.toAddGroup.{u1} F _inst_5))) f) s)))
+Case conversion may be inaccurate. Consider using '#align strict_convex.affine_image StrictConvex.affine_imageₓ'. -/
 /-- The image of a strictly convex set under an affine map is strictly convex. -/
 theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜] F} (hf : IsOpenMap f) :
     StrictConvex 𝕜 (f '' s) :=
@@ -394,10 +634,22 @@ theorem StrictConvex.affine_image (hs : StrictConvex 𝕜 s) {f : E →ᵃ[𝕜]
 
 variable [TopologicalAddGroup E]
 
+/- warning: strict_convex.neg -> StrictConvex.neg is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} [_inst_8 : TopologicalAddGroup.{u2} E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_4)], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (Neg.neg.{u2} (Set.{u2} E) (Set.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4)))) s))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} [_inst_8 : TopologicalAddGroup.{u1} E _inst_2 (AddCommGroup.toAddGroup.{u1} E _inst_4)], (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Neg.neg.{u1} (Set.{u1} E) (Set.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4)))))) s))
+Case conversion may be inaccurate. Consider using '#align strict_convex.neg StrictConvex.negₓ'. -/
 theorem StrictConvex.neg (hs : StrictConvex 𝕜 s) : StrictConvex 𝕜 (-s) :=
   hs.is_linear_preimage IsLinearMap.isLinearMap_neg continuous_id.neg neg_injective
 #align strict_convex.neg StrictConvex.neg
 
+/- warning: strict_convex.sub -> StrictConvex.sub is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedRing.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_4 : AddCommGroup.{u2} E] [_inst_6 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)] {s : Set.{u2} E} {t : Set.{u2} E} [_inst_8 : TopologicalAddGroup.{u2} E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_4)], (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) t) -> (StrictConvex.{u1, u2} 𝕜 E (OrderedRing.toOrderedSemiring.{u1} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_4)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (OrderedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_4) _inst_6)))) (HSub.hSub.{u2, u2, u2} (Set.{u2} E) (Set.{u2} E) (Set.{u2} E) (instHSub.{u2} (Set.{u2} E) (Set.sub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_4))))) s t))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedRing.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_4 : AddCommGroup.{u1} E] [_inst_6 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] {s : Set.{u1} E} {t : Set.{u1} E} [_inst_8 : TopologicalAddGroup.{u1} E _inst_2 (AddCommGroup.toAddGroup.{u1} E _inst_4)], (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) s) -> (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) t) -> (StrictConvex.{u2, u1} 𝕜 E (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedRing.toOrderedSemiring.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (HSub.hSub.{u1, u1, u1} (Set.{u1} E) (Set.{u1} E) (Set.{u1} E) (instHSub.{u1} (Set.{u1} E) (Set.sub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) s t))
+Case conversion may be inaccurate. Consider using '#align strict_convex.sub StrictConvex.subₓ'. -/
 theorem StrictConvex.sub (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s - t) :=
   (sub_eq_add_neg s t).symm ▸ hs.add ht.neg
 #align strict_convex.sub StrictConvex.sub
@@ -414,6 +666,12 @@ section AddCommGroup
 
 variable [AddCommGroup E] [AddCommGroup F] [Module 𝕜 E] [Module 𝕜 F] {s : Set E} {x : E}
 
+/- warning: strict_convex_iff_div -> strictConvex_iff_div is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E}, Iff (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u2} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) a) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))))))) b) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) a (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) x) (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHDiv.{u1} 𝕜 (DivInvMonoid.toHasDiv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) b (HAdd.hAdd.{u1, u1, u1} 𝕜 𝕜 𝕜 (instHAdd.{u1} 𝕜 (Distrib.toHasAdd.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) a b)) y)) (interior.{u2} E _inst_2 s))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E}, Iff (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) (Set.Pairwise.{u1} E s (fun (x : E) (y : E) => forall {{a : 𝕜}} {{b : 𝕜}}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) a) -> (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))))) b) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_3)))))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) a (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) x) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHDiv.{u2} 𝕜 (LinearOrderedField.toDiv.{u2} 𝕜 _inst_1)) b (HAdd.hAdd.{u2, u2, u2} 𝕜 𝕜 𝕜 (instHAdd.{u2} 𝕜 (Distrib.toAdd.{u2} 𝕜 (NonUnitalNonAssocSemiring.toDistrib.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))))) a b)) y)) (interior.{u1} E _inst_2 s))))
+Case conversion may be inaccurate. Consider using '#align strict_convex_iff_div strictConvex_iff_divₓ'. -/
 /-- Alternative definition of set strict convexity, using division. -/
 theorem strictConvex_iff_div :
     StrictConvex 𝕜 s ↔
@@ -427,6 +685,12 @@ theorem strictConvex_iff_div :
     convert h hx hy hxy ha hb <;> rw [hab, div_one]⟩
 #align strict_convex_iff_div strictConvex_iff_div
 
+/- warning: strict_convex.mem_smul_of_zero_mem -> StrictConvex.mem_smul_of_zero_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u2} E] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] {s : Set.{u2} E} {x : E}, (StrictConvex.{u1, u2} 𝕜 E (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Ne.{succ u2} E x (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (forall {t : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 1 (OfNat.mk.{u1} 𝕜 1 (One.one.{u1} 𝕜 (AddMonoidWithOne.toOne.{u1} 𝕜 (AddGroupWithOne.toAddMonoidWithOne.{u1} 𝕜 (AddCommGroupWithOne.toAddGroupWithOne.{u1} 𝕜 (Ring.toAddCommGroupWithOne.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))))) t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) t (interior.{u2} E _inst_2 s))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : TopologicalSpace.{u1} E] [_inst_3 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] {s : Set.{u1} E} {x : E}, (StrictConvex.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))))) s) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} E x (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3)))))))) -> (forall {t : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedRing.toPartialOrder.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 1 (One.toOfNat1.{u2} 𝕜 (NonAssocRing.toOne.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (StrictOrderedRing.toRing.{u2} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u2} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u2} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u2} 𝕜 _inst_1)))))))) t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_5)))))) t (interior.{u1} E _inst_2 s))))
+Case conversion may be inaccurate. Consider using '#align strict_convex.mem_smul_of_zero_mem StrictConvex.mem_smul_of_zero_memₓ'. -/
 theorem StrictConvex.mem_smul_of_zero_mem (hs : StrictConvex 𝕜 s) (zero_mem : (0 : E) ∈ s)
     (hx : x ∈ s) (hx₀ : x ≠ 0) {t : 𝕜} (ht : 1 < t) : x ∈ t • interior s :=
   by
@@ -449,16 +713,34 @@ section
 
 variable [LinearOrderedField 𝕜] [TopologicalSpace 𝕜] [OrderTopology 𝕜] {s : Set 𝕜}
 
+/- warning: strict_convex_iff_convex -> strictConvex_iff_convex is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) (Convex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) (Convex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_iff_convex strictConvex_iff_convexₓ'. -/
 /-- A set in a linear ordered field is strictly convex if and only if it is convex. -/
 @[simp]
 theorem strictConvex_iff_convex : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
   ⟨StrictConvex.convex, fun hs => hs.OrdConnected.StrictConvex⟩
 #align strict_convex_iff_convex strictConvex_iff_convex
 
+/- warning: strict_convex_iff_ord_connected -> strictConvex_iff_ordConnected is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, Iff (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) s)
+Case conversion may be inaccurate. Consider using '#align strict_convex_iff_ord_connected strictConvex_iff_ordConnectedₓ'. -/
 theorem strictConvex_iff_ordConnected : StrictConvex 𝕜 s ↔ s.OrdConnected :=
   strictConvex_iff_convex.trans convex_iff_ordConnected
 #align strict_convex_iff_ord_connected strictConvex_iff_ordConnected
 
+/- warning: strict_convex.ord_connected -> StrictConvex.ordConnected is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))))] {s : Set.{u1} 𝕜}, (StrictConvex.{u1, u1} 𝕜 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (OrderedAddCommGroup.toAddCommGroup.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (Mul.toSMul.{u1} 𝕜 (Distrib.toHasMul.{u1} 𝕜 (Ring.toDistrib.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) s) -> (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommGroup.toPartialOrder.{u1} 𝕜 (StrictOrderedRing.toOrderedAddCommGroup.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : TopologicalSpace.{u1} 𝕜] [_inst_3 : OrderTopology.{u1} 𝕜 _inst_2 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))] {s : Set.{u1} 𝕜}, (StrictConvex.{u1, u1} 𝕜 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) _inst_2 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (Algebra.toSMul.{u1, u1} 𝕜 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))) (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (Algebra.id.{u1} 𝕜 (StrictOrderedCommSemiring.toCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) s) -> (Set.OrdConnected.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) s)
+Case conversion may be inaccurate. Consider using '#align strict_convex.ord_connected StrictConvex.ordConnectedₓ'. -/
 alias strictConvex_iff_ordConnected ↔ StrictConvex.ordConnected _
 #align strict_convex.ord_connected StrictConvex.ordConnected

84dc0bd6

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

84dc0bd6

refactor(Topology/Order/Basic): split up large file (#11992)

This splits up the file Mathlib/Topology/Order/Basic.lean (currently > 2000 lines) into several smaller files.

b8145add

Diff

@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
 -/
 import Mathlib.Analysis.Convex.Basic
-import Mathlib.Topology.Order.Basic
 import Mathlib.Topology.Algebra.Group.Basic
+import Mathlib.Topology.Order.Basic
 
 #align_import analysis.convex.strict from "leanprover-community/mathlib"@"84dc0bd6619acaea625086d6f53cb35cdd554219"

84dc0bd6

chore: Rename mul-div cancellation lemmas (#11530)

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).

4ea4a86a

Diff

@@ -337,8 +337,8 @@ theorem StrictConvex.eq_of_openSegment_subset_frontier [Nontrivial 𝕜] [Densel
   classical
     by_contra hxy
     exact
-      (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel'_right _ _, rfl⟩).2
-        (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel'_right _ _)
+      (h ⟨a, 1 - a, ha₀, sub_pos_of_lt ha₁, add_sub_cancel _ _, rfl⟩).2
+        (hs hx hy hxy ha₀ (sub_pos_of_lt ha₁) <| add_sub_cancel _ _)
 #align strict_convex.eq_of_open_segment_subset_frontier StrictConvex.eq_of_openSegment_subset_frontier
 
 theorem StrictConvex.add_smul_mem (hs : StrictConvex 𝕜 s) (hx : x ∈ s) (hxy : x + y ∈ s)

84dc0bd6

chore: reduce imports (#9830)

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

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

f4c4ca61

Diff

@@ -4,7 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
 -/
 import Mathlib.Analysis.Convex.Basic
-import Mathlib.Topology.Algebra.Order.Group
+import Mathlib.Topology.Order.Basic
+import Mathlib.Topology.Algebra.Group.Basic
 
 #align_import analysis.convex.strict from "leanprover-community/mathlib"@"84dc0bd6619acaea625086d6f53cb35cdd554219"

84dc0bd6

refactor(*): change definition of Set.image2 etc (#9275)

Redefine Set.image2 to use ∃ a ∈ s, ∃ b ∈ t, f a b = c instead of ∃ a b, a ∈ s ∧ b ∈ t ∧ f a b = c.
Redefine Set.seq as Set.image2. The new definition is equal to the old one but rw [Set.seq] gives a different result.
Redefine Filter.map₂ to use ∃ u ∈ f, ∃ v ∈ g, image2 m u v ⊆ s instead of ∃ u v, u ∈ f ∧ v ∈ g ∧ ...
Update lemmas like Set.mem_image2, Finset.mem_image₂, Set.mem_mul, Finset.mem_div etc

The two reasons to make the change are:

∃ a ∈ s, ∃ b ∈ t, _ is a simp-normal form, and
it looks a bit nicer.

8f17470f

Diff

@@ -244,7 +244,7 @@ variable [ContinuousAdd E] {s t : Set E}
 
 theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
     StrictConvex 𝕜 (s + t) := by
-  rintro _ ⟨v, w, hv, hw, rfl⟩ _ ⟨x, y, hx, hy, rfl⟩ h a b ha hb hab
+  rintro _ ⟨v, hv, w, hw, rfl⟩ _ ⟨x, hx, y, hy, rfl⟩ h a b ha hb hab
   rw [smul_add, smul_add, add_add_add_comm]
   obtain rfl | hvx := eq_or_ne v x
   · refine' interior_mono (add_subset_add (singleton_subset_iff.2 hv) Subset.rfl) _

84dc0bd6

chore: Nsmul -> NSMul, Zpow -> ZPow, etc (#9067)

Normalising to naming convention rule number 6.

9b2f0dca

Diff

@@ -273,7 +273,7 @@ theorem StrictConvex.vadd (hs : StrictConvex 𝕜 s) (x : E) : StrictConvex 𝕜
 
 end continuous_add
 
-section ContinuousSmul
+section ContinuousSMul
 
 variable [LinearOrderedField 𝕝] [Module 𝕝 E] [ContinuousConstSMul 𝕝 E]
   [LinearMap.CompatibleSMul E E 𝕜 𝕝] {s : Set E} {x : E}
@@ -289,7 +289,7 @@ theorem StrictConvex.affinity [ContinuousAdd E] (hs : StrictConvex 𝕜 s) (z :
   (hs.smul c).vadd z
 #align strict_convex.affinity StrictConvex.affinity
 
-end ContinuousSmul
+end ContinuousSMul
 
 end AddCommGroup

84dc0bd6

chore: rename lemmas containing "of_open" to match the naming convention (#8229)

Mostly, this means replacing "of_open" by "of_isOpen". A few lemmas names were misleading and are corrected differently. Zulip discussion.

8b8aaa21

Diff

@@ -109,12 +109,13 @@ protected theorem StrictConvex.convex (hs : StrictConvex 𝕜 s) : Convex 𝕜 s
 #align strict_convex.convex StrictConvex.convex
 
 /-- An open convex set is strictly convex. -/
-protected theorem Convex.strictConvex_of_open (h : IsOpen s) (hs : Convex 𝕜 s) : StrictConvex 𝕜 s :=
+protected theorem Convex.strictConvex_of_isOpen (h : IsOpen s) (hs : Convex 𝕜 s) :
+    StrictConvex 𝕜 s :=
   fun _ hx _ hy _ _ _ ha hb hab => h.interior_eq.symm ▸ hs hx hy ha.le hb.le hab
-#align convex.strict_convex_of_open Convex.strictConvex_of_open
+#align convex.strict_convex_of_open Convex.strictConvex_of_isOpen
 
 theorem IsOpen.strictConvex_iff (h : IsOpen s) : StrictConvex 𝕜 s ↔ Convex 𝕜 s :=
-  ⟨StrictConvex.convex, Convex.strictConvex_of_open h⟩
+  ⟨StrictConvex.convex, Convex.strictConvex_of_isOpen h⟩
 #align is_open.strict_convex_iff IsOpen.strictConvex_iff
 
 theorem strictConvex_singleton (c : E) : StrictConvex 𝕜 ({c} : Set E) :=

84dc0bd6

feat: patch for new alias command (#6172)

19e0ba92

Diff

@@ -443,7 +443,7 @@ theorem strictConvex_iff_ordConnected : StrictConvex 𝕜 s ↔ s.OrdConnected :
   strictConvex_iff_convex.trans convex_iff_ordConnected
 #align strict_convex_iff_ord_connected strictConvex_iff_ordConnected
 
-alias strictConvex_iff_ordConnected ↔ StrictConvex.ordConnected _
+alias ⟨StrictConvex.ordConnected, _⟩ := strictConvex_iff_ordConnected
 #align strict_convex.ord_connected StrictConvex.ordConnected
 
 end

84dc0bd6

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -21,7 +21,7 @@ open Set
 
 open Convex Pointwise
 
-variable {𝕜 𝕝 E F β : Type _}
+variable {𝕜 𝕝 E F β : Type*}
 
 open Function Set
 
@@ -81,7 +81,7 @@ protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht
   exact ⟨hs hx.1 hy.1 hxy ha hb hab, ht hx.2 hy.2 hxy ha hb hab⟩
 #align strict_convex.inter StrictConvex.inter
 
-theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
+theorem Directed.strictConvex_iUnion {ι : Sort*} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) := by
   rintro x hx y hy hxy a b ha hb hab
   rw [mem_iUnion] at hx hy

84dc0bd6

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Yaël Dillies. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yaël Dillies
-
-! This file was ported from Lean 3 source module analysis.convex.strict
-! leanprover-community/mathlib commit 84dc0bd6619acaea625086d6f53cb35cdd554219
-! 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.Topology.Algebra.Order.Group
 
+#align_import analysis.convex.strict from "leanprover-community/mathlib"@"84dc0bd6619acaea625086d6f53cb35cdd554219"
+
 /-!
 # Strictly convex sets

84dc0bd6

chore: update std 05-22 (#4248)

The main breaking change is that tac <;> [t1, t2] is now written tac <;> [t1; t2], to avoid clashing with tactics like cases and use that take comma-separated lists.

ac36b28e

Diff

@@ -163,7 +163,7 @@ variable [TopologicalSpace β] [LinearOrderedCancelAddCommMonoid β] [OrderTopol
 protected theorem Set.OrdConnected.strictConvex {s : Set β} (hs : OrdConnected s) :
     StrictConvex 𝕜 s := by
   refine' strictConvex_iff_openSegment_subset.2 fun x hx y hy hxy => _
-  cases' hxy.lt_or_lt with hlt hlt <;> [skip, rw [openSegment_symm]] <;>
+  cases' hxy.lt_or_lt with hlt hlt <;> [skip; rw [openSegment_symm]] <;>
     exact
       (openSegment_subset_Ioo hlt).trans
         (isOpen_Ioo.subset_interior_iff.2 <| Ioo_subset_Icc_self.trans <| hs.out ‹_› ‹_›)

84dc0bd6

chore: Rename to sSup/iSup (#3938)

As discussed on Zulip

Renames

supₛ → sSup
infₛ → sInf
supᵢ → iSup
infᵢ → iInf
bsupₛ → bsSup
binfₛ → bsInf
bsupᵢ → biSup
binfᵢ → biInf
csupₛ → csSup
cinfₛ → csInf
csupᵢ → ciSup
cinfᵢ → ciInf
unionₛ → sUnion
interₛ → sInter
unionᵢ → iUnion
interᵢ → iInter
bunionₛ → bsUnion
binterₛ → bsInter
bunionᵢ → biUnion
binterᵢ → biInter

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

d1eb6264

Diff

@@ -84,21 +84,21 @@ protected theorem StrictConvex.inter {t : Set E} (hs : StrictConvex 𝕜 s) (ht
   exact ⟨hs hx.1 hy.1 hxy ha hb hab, ht hx.2 hy.2 hxy ha hb hab⟩
 #align strict_convex.inter StrictConvex.inter
 
-theorem Directed.strictConvex_unionᵢ {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
+theorem Directed.strictConvex_iUnion {ι : Sort _} {s : ι → Set E} (hdir : Directed (· ⊆ ·) s)
     (hs : ∀ ⦃i : ι⦄, StrictConvex 𝕜 (s i)) : StrictConvex 𝕜 (⋃ i, s i) := by
   rintro x hx y hy hxy a b ha hb hab
-  rw [mem_unionᵢ] at hx hy
+  rw [mem_iUnion] at hx hy
   obtain ⟨i, hx⟩ := hx
   obtain ⟨j, hy⟩ := hy
   obtain ⟨k, hik, hjk⟩ := hdir i j
-  exact interior_mono (subset_unionᵢ s k) (hs (hik hx) (hjk hy) hxy ha hb hab)
-#align directed.strict_convex_Union Directed.strictConvex_unionᵢ
+  exact interior_mono (subset_iUnion s k) (hs (hik hx) (hjk hy) hxy ha hb hab)
+#align directed.strict_convex_Union Directed.strictConvex_iUnion
 
-theorem DirectedOn.strictConvex_unionₛ {S : Set (Set E)} (hdir : DirectedOn (· ⊆ ·) S)
+theorem DirectedOn.strictConvex_sUnion {S : Set (Set E)} (hdir : DirectedOn (· ⊆ ·) S)
     (hS : ∀ s ∈ S, StrictConvex 𝕜 s) : StrictConvex 𝕜 (⋃₀ S) := by
-  rw [unionₛ_eq_unionᵢ]
-  exact (directedOn_iff_directed.1 hdir).strictConvex_unionᵢ fun s => hS _ s.2
-#align directed_on.strict_convex_sUnion DirectedOn.strictConvex_unionₛ
+  rw [sUnion_eq_iUnion]
+  exact (directedOn_iff_directed.1 hdir).strictConvex_iUnion fun s => hS _ s.2
+#align directed_on.strict_convex_sUnion DirectedOn.strictConvex_sUnion
 
 end SMul

84dc0bd6

chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

14167e48

Diff

@@ -244,8 +244,8 @@ section continuous_add
 
 variable [ContinuousAdd E] {s t : Set E}
 
-theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) : StrictConvex 𝕜 (s + t) :=
-  by
+theorem StrictConvex.add (hs : StrictConvex 𝕜 s) (ht : StrictConvex 𝕜 t) :
+    StrictConvex 𝕜 (s + t) := by
   rintro _ ⟨v, w, hv, hw, rfl⟩ _ ⟨x, y, hx, hy, rfl⟩ h a b ha hb hab
   rw [smul_add, smul_add, add_add_add_comm]
   obtain rfl | hvx := eq_or_ne v x

84dc0bd6

feat: port Analysis.Convex.Strict (#3148)

910ab722

`analysis.convex.strict` ⟷ `Mathlib.Analysis.Convex.Strict`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Renames

Dependencies 10 + 488

analysis.convex.strict ⟷ Mathlib.Analysis.Convex.Strict

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Renames

Dependencies 10 + 488

`analysis.convex.strict` ⟷ `Mathlib.Analysis.Convex.Strict`