analysis.convex.cone.basic ⟷ Mathlib.Analysis.Convex.Cone.Extension

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

@@ -5,7 +5,7 @@ Authors: Yury Kudryashov, Frédéric Dupuis
 -/
 import Analysis.Convex.Hull
 import Data.Real.Basic
-import LinearAlgebra.LinearPmap
+import LinearAlgebra.LinearPMap
 
 #align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 
@@ -799,7 +799,7 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
   · rintro _ ⟨cx, cx_pos, x, hx, rfl⟩ _ ⟨cy, cy_pos, y, hy, rfl⟩
     have : 0 < cx + cy := add_pos cx_pos cy_pos
     refine' ⟨_, this, _, convex_iff_div.1 hs hx hy cx_pos.le cy_pos.le this, _⟩
-    simp only [smul_add, smul_smul, mul_div_assoc', mul_div_cancel_left _ this.ne']
+    simp only [smul_add, smul_smul, mul_div_assoc', mul_div_cancel_left₀ _ this.ne']
 #align convex.to_cone Convex.toCone
 -/
 
@@ -915,7 +915,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn
-    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
+    rw [add_assoc, add_sub_cancel, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
     replace := nonneg _ this
     rwa [f.map_sub, sub_nonneg] at this
   have hy' : y ≠ 0 := fun hy₀ => hy (hy₀.symm ▸ zero_mem _)

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

@@ -463,8 +463,8 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
   · rintro h₁ ⟨x, xs, H₁, H₂⟩
     exact h₁ x xs H₁ H₂
   · intro h
-    unfold flat at h 
-    push_neg at h 
+    unfold flat at h
+    push_neg at h
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
 -/
@@ -519,7 +519,7 @@ def toPartialOrder (h₁ : S.Pointed) (h₂ : S.Salient) : PartialOrder E :=
       by_contra h
       have h' : b - a ≠ 0 := fun h'' => h (eq_of_sub_eq_zero h'').symm
       have H := h₂ (b - a) ab h'
-      rw [neg_sub b a] at H 
+      rw [neg_sub b a] at H
       exact H ba }
 #align convex_cone.to_partial_order ConvexCone.toPartialOrder
 -/
@@ -911,23 +911,23 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
     refine' exists_between_of_forall_le (nonempty.image f _) (nonempty.image f (Dense y)) _
     · rcases Dense (-y) with ⟨x, hx⟩
-      rw [← neg_neg x, NegMemClass.coe_neg, ← sub_eq_add_neg] at hx 
+      rw [← neg_neg x, NegMemClass.coe_neg, ← sub_eq_add_neg] at hx
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn
-    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this 
+    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
     replace := nonneg _ this
-    rwa [f.map_sub, sub_nonneg] at this 
+    rwa [f.map_sub, sub_nonneg] at this
   have hy' : y ≠ 0 := fun hy₀ => hy (hy₀.symm ▸ zero_mem _)
   refine' ⟨f.sup_span_singleton y (-c) hy, _, _⟩
   · refine' lt_iff_le_not_le.2 ⟨f.left_le_sup _ _, fun H => _⟩
     replace H := linear_pmap.domain_mono.monotone H
-    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H 
+    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H
     exact hy H.2
   · rintro ⟨z, hz⟩ hzs
     rcases mem_sup.1 hz with ⟨x, hx, y', hy', rfl⟩
     rcases mem_span_singleton.1 hy' with ⟨r, rfl⟩
-    simp only [Subtype.coe_mk] at hzs 
+    simp only [Subtype.coe_mk] at hzs
     erw [LinearPMap.supSpanSingleton_apply_mk _ _ _ _ _ hx, smul_neg, ← sub_eq_add_neg, sub_nonneg]
     rcases lt_trichotomy r 0 with (hr | hr | hr)
     · have : -(r⁻¹ • x) - y ∈ s := by
@@ -935,7 +935,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
           mul_inv_cancel hr.ne, one_smul, sub_eq_add_neg, neg_smul, neg_neg]
       replace := le_c (r⁻¹ • ⟨x, hx⟩) this
       rwa [← mul_le_mul_left (neg_pos.2 hr), neg_mul, neg_mul, neg_le_neg_iff, f.map_smul,
-        smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this 
+        smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this
     · subst r
       simp only [zero_smul, add_zero] at hzs ⊢
       apply nonneg
@@ -944,7 +944,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
         rwa [← s.smul_mem_iff hr, smul_add, smul_smul, mul_inv_cancel hr.ne', one_smul]
       replace := c_le (r⁻¹ • ⟨x, hx⟩) this
       rwa [← mul_le_mul_left hr, f.map_smul, smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne',
-        one_mul] at this 
+        one_mul] at this
 #align riesz_extension.step RieszExtension.step
 -/
 
@@ -1028,9 +1028,9 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
     · intro x
       have A : (x, N x) = (x, 0) + (0, N x) := by simp
       have B := g_nonneg ⟨x, N x⟩ (le_refl (N x))
-      rw [A, map_add, ← neg_le_iff_add_nonneg'] at B 
+      rw [A, map_add, ← neg_le_iff_add_nonneg'] at B
       have C := g_eq 0 (N x)
-      simp only [Submodule.coe_zero, f.map_zero, sub_zero] at C 
+      simp only [Submodule.coe_zero, f.map_zero, sub_zero] at C
       rwa [← C]
   · exact fun x hx => le_trans (hf _) hx
   · rintro ⟨x, y⟩

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

@@ -911,7 +911,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
     refine' exists_between_of_forall_le (nonempty.image f _) (nonempty.image f (Dense y)) _
     · rcases Dense (-y) with ⟨x, hx⟩
-      rw [← neg_neg x, AddSubgroupClass.coe_neg, ← sub_eq_add_neg] at hx 
+      rw [← neg_neg x, NegMemClass.coe_neg, ← sub_eq_add_neg] at hx 
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn

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

@@ -3,9 +3,9 @@ Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 -/
-import Mathbin.Analysis.Convex.Hull
-import Mathbin.Data.Real.Basic
-import Mathbin.LinearAlgebra.LinearPmap
+import Analysis.Convex.Hull
+import Data.Real.Basic
+import LinearAlgebra.LinearPmap
 
 #align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 

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

@@ -811,20 +811,20 @@ theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s,
 #align convex.mem_to_cone Convex.mem_toCone
 -/
 
-#print Convex.mem_to_cone' /-
-theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
+#print Convex.mem_toCone' /-
+theorem mem_toCone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
   by
   refine' hs.mem_to_cone.trans ⟨_, _⟩
   · rintro ⟨c, hc, y, hy, rfl⟩
     exact ⟨c⁻¹, inv_pos.2 hc, by rwa [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
   · rintro ⟨c, hc, hcx⟩
     exact ⟨c⁻¹, inv_pos.2 hc, _, hcx, by rw [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
-#align convex.mem_to_cone' Convex.mem_to_cone'
+#align convex.mem_to_cone' Convex.mem_toCone'
 -/
 
 #print Convex.subset_toCone /-
 theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
-  hs.mem_to_cone'.2 ⟨1, zero_lt_one, by rwa [one_smul]⟩
+  hs.mem_toCone'.2 ⟨1, zero_lt_one, by rwa [one_smul]⟩
 #align convex.subset_to_cone Convex.subset_toCone
 -/
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Convex.Hull
 import Mathbin.Data.Real.Basic
 import Mathbin.LinearAlgebra.LinearPmap
 
+#align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
+
 /-!
 # Convex cones
 

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

@@ -108,29 +108,39 @@ instance : SetLike (ConvexCone 𝕜 E) E where
   coe := carrier
   coe_injective' S T h := by cases S <;> cases T <;> congr
 
+#print ConvexCone.coe_mk /-
 @[simp]
 theorem coe_mk {s : Set E} {h₁ h₂} : ↑(@mk 𝕜 _ _ _ _ s h₁ h₂) = s :=
   rfl
 #align convex_cone.coe_mk ConvexCone.coe_mk
+-/
 
+#print ConvexCone.mem_mk /-
 @[simp]
 theorem mem_mk {s : Set E} {h₁ h₂ x} : x ∈ @mk 𝕜 _ _ _ _ s h₁ h₂ ↔ x ∈ s :=
   Iff.rfl
 #align convex_cone.mem_mk ConvexCone.mem_mk
+-/
 
+#print ConvexCone.ext /-
 /-- Two `convex_cone`s are equal if they have the same elements. -/
 @[ext]
 theorem ext {S T : ConvexCone 𝕜 E} (h : ∀ x, x ∈ S ↔ x ∈ T) : S = T :=
   SetLike.ext h
 #align convex_cone.ext ConvexCone.ext
+-/
 
+#print ConvexCone.smul_mem /-
 theorem smul_mem {c : 𝕜} {x : E} (hc : 0 < c) (hx : x ∈ S) : c • x ∈ S :=
   S.smul_mem' hc hx
 #align convex_cone.smul_mem ConvexCone.smul_mem
+-/
 
+#print ConvexCone.add_mem /-
 theorem add_mem ⦃x⦄ (hx : x ∈ S) ⦃y⦄ (hy : y ∈ S) : x + y ∈ S :=
   S.add_mem' hx hy
 #align convex_cone.add_mem ConvexCone.add_mem
+-/
 
 instance : AddMemClass (ConvexCone 𝕜 E) E where add_mem c a b ha hb := add_mem c ha hb
 
@@ -139,14 +149,18 @@ instance : Inf (ConvexCone 𝕜 E) :=
     ⟨S ∩ T, fun c hc x hx => ⟨S.smul_mem hc hx.1, T.smul_mem hc hx.2⟩, fun x hx y hy =>
       ⟨S.add_mem hx.1 hy.1, T.add_mem hx.2 hy.2⟩⟩⟩
 
+#print ConvexCone.coe_inf /-
 @[simp]
 theorem coe_inf : ((S ⊓ T : ConvexCone 𝕜 E) : Set E) = ↑S ∩ ↑T :=
   rfl
 #align convex_cone.coe_inf ConvexCone.coe_inf
+-/
 
+#print ConvexCone.mem_inf /-
 theorem mem_inf {x} : x ∈ S ⊓ T ↔ x ∈ S ∧ x ∈ T :=
   Iff.rfl
 #align convex_cone.mem_inf ConvexCone.mem_inf
+-/
 
 instance : InfSet (ConvexCone 𝕜 E) :=
   ⟨fun S =>
@@ -154,49 +168,65 @@ instance : InfSet (ConvexCone 𝕜 E) :=
       fun x hx y hy =>
       mem_biInter fun s hs => s.add_mem (mem_iInter₂.1 hx s hs) (mem_iInter₂.1 hy s hs)⟩⟩
 
+#print ConvexCone.coe_sInf /-
 @[simp]
 theorem coe_sInf (S : Set (ConvexCone 𝕜 E)) : ↑(sInf S) = ⋂ s ∈ S, (s : Set E) :=
   rfl
 #align convex_cone.coe_Inf ConvexCone.coe_sInf
+-/
 
+#print ConvexCone.mem_sInf /-
 theorem mem_sInf {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s :=
   mem_iInter₂
 #align convex_cone.mem_Inf ConvexCone.mem_sInf
+-/
 
+#print ConvexCone.coe_iInf /-
 @[simp]
 theorem coe_iInf {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
   simp [iInf]
 #align convex_cone.coe_infi ConvexCone.coe_iInf
+-/
 
+#print ConvexCone.mem_iInf /-
 theorem mem_iInf {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
   mem_iInter₂.trans <| by simp
 #align convex_cone.mem_infi ConvexCone.mem_iInf
+-/
 
 variable (𝕜)
 
 instance : Bot (ConvexCone 𝕜 E) :=
   ⟨⟨∅, fun c hc x => False.elim, fun x => False.elim⟩⟩
 
+#print ConvexCone.mem_bot /-
 theorem mem_bot (x : E) : (x ∈ (⊥ : ConvexCone 𝕜 E)) = False :=
   rfl
 #align convex_cone.mem_bot ConvexCone.mem_bot
+-/
 
+#print ConvexCone.coe_bot /-
 @[simp]
 theorem coe_bot : ↑(⊥ : ConvexCone 𝕜 E) = (∅ : Set E) :=
   rfl
 #align convex_cone.coe_bot ConvexCone.coe_bot
+-/
 
 instance : Top (ConvexCone 𝕜 E) :=
   ⟨⟨univ, fun c hc x hx => mem_univ _, fun x hx y hy => mem_univ _⟩⟩
 
+#print ConvexCone.mem_top /-
 theorem mem_top (x : E) : x ∈ (⊤ : ConvexCone 𝕜 E) :=
   mem_univ x
 #align convex_cone.mem_top ConvexCone.mem_top
+-/
 
+#print ConvexCone.coe_top /-
 @[simp]
 theorem coe_top : ↑(⊤ : ConvexCone 𝕜 E) = (univ : Set E) :=
   rfl
 #align convex_cone.coe_top ConvexCone.coe_top
+-/
 
 instance : CompleteLattice (ConvexCone 𝕜 E) :=
   { SetLike.partialOrder with
@@ -230,10 +260,12 @@ section Module
 
 variable [Module 𝕜 E] (S : ConvexCone 𝕜 E)
 
+#print ConvexCone.convex /-
 protected theorem convex : Convex 𝕜 (S : Set E) :=
   convex_iff_forall_pos.2 fun x hx y hy a b ha hb _ =>
     S.add_mem (S.smul_mem ha hx) (S.smul_mem hb hy)
 #align convex_cone.convex ConvexCone.convex
+-/
 
 end Module
 
@@ -251,9 +283,11 @@ section MulAction
 
 variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
 
+#print ConvexCone.smul_mem_iff /-
 theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
   ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
 #align convex_cone.smul_mem_iff ConvexCone.smul_mem_iff
+-/
 
 end MulAction
 
@@ -272,20 +306,26 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
 #align convex_cone.map ConvexCone.map
 -/
 
+#print ConvexCone.mem_map /-
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
   mem_image_iff_bex
 #align convex_cone.mem_map ConvexCone.mem_map
+-/
 
+#print ConvexCone.map_map /-
 theorem map_map (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) :
     (S.map f).map g = S.map (g.comp f) :=
   SetLike.coe_injective <| image_image g f S
 #align convex_cone.map_map ConvexCone.map_map
+-/
 
+#print ConvexCone.map_id /-
 @[simp]
 theorem map_id (S : ConvexCone 𝕜 E) : S.map LinearMap.id = S :=
   SetLike.coe_injective <| image_id _
 #align convex_cone.map_id ConvexCone.map_id
+-/
 
 #print ConvexCone.comap /-
 /-- The preimage of a convex cone under a `𝕜`-linear map is a convex cone. -/
@@ -297,25 +337,33 @@ def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
 #align convex_cone.comap ConvexCone.comap
 -/
 
+#print ConvexCone.coe_comap /-
 @[simp]
 theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f : Set E) = f ⁻¹' S :=
   rfl
 #align convex_cone.coe_comap ConvexCone.coe_comap
+-/
 
+#print ConvexCone.comap_id /-
 @[simp]
 theorem comap_id (S : ConvexCone 𝕜 E) : S.comap LinearMap.id = S :=
   SetLike.coe_injective preimage_id
 #align convex_cone.comap_id ConvexCone.comap_id
+-/
 
+#print ConvexCone.comap_comap /-
 theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 G) :
     (S.comap g).comap f = S.comap (g.comp f) :=
   SetLike.coe_injective <| preimage_comp.symm
 #align convex_cone.comap_comap ConvexCone.comap_comap
+-/
 
+#print ConvexCone.mem_comap /-
 @[simp]
 theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈ S.comap f ↔ f x ∈ S :=
   Iff.rfl
 #align convex_cone.mem_comap ConvexCone.mem_comap
+-/
 
 end Module
 
@@ -325,6 +373,7 @@ section OrderedAddCommGroup
 
 variable [OrderedAddCommGroup E] [Module 𝕜 E]
 
+#print ConvexCone.to_orderedSMul /-
 /-- Constructs an ordered module given an `ordered_add_comm_group`, a cone, and a proof that
 the order relation is the one defined by the cone.
 -/
@@ -335,6 +384,7 @@ theorem to_orderedSMul (S : ConvexCone 𝕜 E) (h : ∀ x y : E, x ≤ y ↔ y -
       rw [h (z • x) (z • y), ← smul_sub z y x]
       exact smul_mem S hz ((h x y).mp xy.le))
 #align convex_cone.to_ordered_smul ConvexCone.to_orderedSMul
+-/
 
 end OrderedAddCommGroup
 
@@ -365,21 +415,29 @@ def Blunt (S : ConvexCone 𝕜 E) : Prop :=
 #align convex_cone.blunt ConvexCone.Blunt
 -/
 
+#print ConvexCone.pointed_iff_not_blunt /-
 theorem pointed_iff_not_blunt (S : ConvexCone 𝕜 E) : S.Pointed ↔ ¬S.Blunt :=
   ⟨fun h₁ h₂ => h₂ h₁, Classical.not_not.mp⟩
 #align convex_cone.pointed_iff_not_blunt ConvexCone.pointed_iff_not_blunt
+-/
 
+#print ConvexCone.blunt_iff_not_pointed /-
 theorem blunt_iff_not_pointed (S : ConvexCone 𝕜 E) : S.Blunt ↔ ¬S.Pointed := by
   rw [pointed_iff_not_blunt, Classical.not_not]
 #align convex_cone.blunt_iff_not_pointed ConvexCone.blunt_iff_not_pointed
+-/
 
+#print ConvexCone.Pointed.mono /-
 theorem Pointed.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Pointed → T.Pointed :=
   @h _
 #align convex_cone.pointed.mono ConvexCone.Pointed.mono
+-/
 
+#print ConvexCone.Blunt.anti /-
 theorem Blunt.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Blunt → T.Blunt :=
   (· ∘ @h)
 #align convex_cone.blunt.anti ConvexCone.Blunt.anti
+-/
 
 end AddCommMonoid
 
@@ -401,6 +459,7 @@ def Salient : Prop :=
 #align convex_cone.salient ConvexCone.Salient
 -/
 
+#print ConvexCone.salient_iff_not_flat /-
 theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
   by
   constructor
@@ -411,15 +470,21 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
     push_neg at h 
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
+-/
 
+#print ConvexCone.Flat.mono /-
 theorem Flat.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Flat → T.Flat
   | ⟨x, hxS, hx, hnxS⟩ => ⟨x, h hxS, hx, h hnxS⟩
 #align convex_cone.flat.mono ConvexCone.Flat.mono
+-/
 
+#print ConvexCone.Salient.anti /-
 theorem Salient.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Salient → T.Salient :=
   fun hS x hxT hx hnT => hS x (h hxT) hx (h hnT)
 #align convex_cone.salient.anti ConvexCone.Salient.anti
+-/
 
+#print ConvexCone.Flat.pointed /-
 /-- A flat cone is always pointed (contains `0`). -/
 theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   by
@@ -427,13 +492,16 @@ theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   rw [pointed, ← add_neg_self x]
   exact add_mem S hx hxneg
 #align convex_cone.flat.pointed ConvexCone.Flat.pointed
+-/
 
+#print ConvexCone.Blunt.salient /-
 /-- A blunt cone (one not containing `0`) is always salient. -/
 theorem Blunt.salient {S : ConvexCone 𝕜 E} : S.Blunt → S.Salient :=
   by
   rw [salient_iff_not_flat, blunt_iff_not_pointed]
   exact mt flat.pointed
 #align convex_cone.blunt.salient ConvexCone.Blunt.salient
+-/
 
 #print ConvexCone.toPreorder /-
 /-- A pointed convex cone defines a preorder. -/
@@ -480,10 +548,12 @@ variable [AddCommMonoid E] [Module 𝕜 E]
 instance : Zero (ConvexCone 𝕜 E) :=
   ⟨⟨0, fun _ _ => by simp, fun _ => by simp⟩⟩
 
+#print ConvexCone.mem_zero /-
 @[simp]
 theorem mem_zero (x : E) : x ∈ (0 : ConvexCone 𝕜 E) ↔ x = 0 :=
   Iff.rfl
 #align convex_cone.mem_zero ConvexCone.mem_zero
+-/
 
 #print ConvexCone.coe_zero /-
 @[simp]
@@ -492,8 +562,10 @@ theorem coe_zero : ((0 : ConvexCone 𝕜 E) : Set E) = 0 :=
 #align convex_cone.coe_zero ConvexCone.coe_zero
 -/
 
+#print ConvexCone.pointed_zero /-
 theorem pointed_zero : (0 : ConvexCone 𝕜 E).Pointed := by rw [pointed, mem_zero]
 #align convex_cone.pointed_zero ConvexCone.pointed_zero
+-/
 
 instance : Add (ConvexCone 𝕜 E) :=
   ⟨fun K₁ K₂ =>
@@ -507,11 +579,13 @@ instance : Add (ConvexCone 𝕜 E) :=
         use x₁ + y₁, x₂ + y₂, K₁.add_mem hx₁ hy₁, K₂.add_mem hx₂ hy₂
         abel }⟩
 
+#print ConvexCone.mem_add /-
 @[simp]
 theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
     a ∈ K₁ + K₂ ↔ ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = a :=
   Iff.rfl
 #align convex_cone.mem_add ConvexCone.mem_add
+-/
 
 instance : AddZeroClass (ConvexCone 𝕜 E) :=
   ⟨0, Add.add, fun _ => by ext; simp, fun _ => by ext; simp⟩
@@ -551,41 +625,55 @@ def toConvexCone (S : Submodule 𝕜 E) : ConvexCone 𝕜 E
 #align submodule.to_convex_cone Submodule.toConvexCone
 -/
 
+#print Submodule.coe_toConvexCone /-
 @[simp]
 theorem coe_toConvexCone (S : Submodule 𝕜 E) : ↑S.toConvexCone = (S : Set E) :=
   rfl
 #align submodule.coe_to_convex_cone Submodule.coe_toConvexCone
+-/
 
+#print Submodule.mem_toConvexCone /-
 @[simp]
 theorem mem_toConvexCone {x : E} {S : Submodule 𝕜 E} : x ∈ S.toConvexCone ↔ x ∈ S :=
   Iff.rfl
 #align submodule.mem_to_convex_cone Submodule.mem_toConvexCone
+-/
 
+#print Submodule.toConvexCone_le_iff /-
 @[simp]
 theorem toConvexCone_le_iff {S T : Submodule 𝕜 E} : S.toConvexCone ≤ T.toConvexCone ↔ S ≤ T :=
   Iff.rfl
 #align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iff
+-/
 
+#print Submodule.toConvexCone_bot /-
 @[simp]
 theorem toConvexCone_bot : (⊥ : Submodule 𝕜 E).toConvexCone = 0 :=
   rfl
 #align submodule.to_convex_cone_bot Submodule.toConvexCone_bot
+-/
 
+#print Submodule.toConvexCone_top /-
 @[simp]
 theorem toConvexCone_top : (⊤ : Submodule 𝕜 E).toConvexCone = ⊤ :=
   rfl
 #align submodule.to_convex_cone_top Submodule.toConvexCone_top
+-/
 
+#print Submodule.toConvexCone_inf /-
 @[simp]
 theorem toConvexCone_inf (S T : Submodule 𝕜 E) :
     (S ⊓ T).toConvexCone = S.toConvexCone ⊓ T.toConvexCone :=
   rfl
 #align submodule.to_convex_cone_inf Submodule.toConvexCone_inf
+-/
 
+#print Submodule.pointed_toConvexCone /-
 @[simp]
 theorem pointed_toConvexCone (S : Submodule 𝕜 E) : S.toConvexCone.Pointed :=
   S.zero_mem
 #align submodule.pointed_to_convex_cone Submodule.pointed_toConvexCone
+-/
 
 end AddCommMonoid
 
@@ -602,6 +690,7 @@ section PositiveCone
 
 variable (𝕜 E) [OrderedSemiring 𝕜] [OrderedAddCommGroup E] [Module 𝕜 E] [OrderedSMul 𝕜 E]
 
+#print ConvexCone.positive /-
 /-- The positive cone is the convex cone formed by the set of nonnegative elements in an ordered
 module.
 -/
@@ -610,17 +699,23 @@ def positive : ConvexCone 𝕜 E where
   smul_mem' c hc x (hx : _ ≤ _) := smul_nonneg hc.le hx
   add_mem' x (hx : _ ≤ _) y (hy : _ ≤ _) := add_nonneg hx hy
 #align convex_cone.positive ConvexCone.positive
+-/
 
+#print ConvexCone.mem_positive /-
 @[simp]
 theorem mem_positive {x : E} : x ∈ positive 𝕜 E ↔ 0 ≤ x :=
   Iff.rfl
 #align convex_cone.mem_positive ConvexCone.mem_positive
+-/
 
+#print ConvexCone.coe_positive /-
 @[simp]
 theorem coe_positive : ↑(positive 𝕜 E) = Set.Ici (0 : E) :=
   rfl
 #align convex_cone.coe_positive ConvexCone.coe_positive
+-/
 
+#print ConvexCone.salient_positive /-
 /-- The positive cone of an ordered module is always salient. -/
 theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
   lt_irrefl (0 : E)
@@ -629,12 +724,16 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
       _ ≤ x + -x := (le_add_of_nonneg_right hx')
       _ = 0 := add_neg_self x)
 #align convex_cone.salient_positive ConvexCone.salient_positive
+-/
 
+#print ConvexCone.pointed_positive /-
 /-- The positive cone of an ordered module is always pointed. -/
 theorem pointed_positive : Pointed (positive 𝕜 E) :=
   le_refl 0
 #align convex_cone.pointed_positive ConvexCone.pointed_positive
+-/
 
+#print ConvexCone.strictlyPositive /-
 /-- The cone of strictly positive elements.
 
 Note that this naming diverges from the mathlib convention of `pos` and `nonneg` due to "positive
@@ -645,29 +744,40 @@ def strictlyPositive : ConvexCone 𝕜 E
   smul_mem' c hc x (hx : _ < _) := smul_pos hc hx
   add_mem' x hx y hy := add_pos hx hy
 #align convex_cone.strictly_positive ConvexCone.strictlyPositive
+-/
 
+#print ConvexCone.mem_strictlyPositive /-
 @[simp]
 theorem mem_strictlyPositive {x : E} : x ∈ strictlyPositive 𝕜 E ↔ 0 < x :=
   Iff.rfl
 #align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositive
+-/
 
+#print ConvexCone.coe_strictlyPositive /-
 @[simp]
 theorem coe_strictlyPositive : ↑(strictlyPositive 𝕜 E) = Set.Ioi (0 : E) :=
   rfl
 #align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositive
+-/
 
+#print ConvexCone.positive_le_strictlyPositive /-
 theorem positive_le_strictlyPositive : strictlyPositive 𝕜 E ≤ positive 𝕜 E := fun x => le_of_lt
 #align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositive
+-/
 
+#print ConvexCone.salient_strictlyPositive /-
 /-- The strictly positive cone of an ordered module is always salient. -/
 theorem salient_strictlyPositive : Salient (strictlyPositive 𝕜 E) :=
   (salient_positive 𝕜 E).anti <| positive_le_strictlyPositive 𝕜 E
 #align convex_cone.salient_strictly_positive ConvexCone.salient_strictlyPositive
+-/
 
+#print ConvexCone.blunt_strictlyPositive /-
 /-- The strictly positive cone of an ordered module is always blunt. -/
 theorem blunt_strictlyPositive : Blunt (strictlyPositive 𝕜 E) :=
   lt_irrefl 0
 #align convex_cone.blunt_strictly_positive ConvexCone.blunt_strictlyPositive
+-/
 
 end PositiveCone
 
@@ -698,10 +808,13 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
 
 variable {s : Set E} (hs : Convex 𝕜 s) {x : E}
 
+#print Convex.mem_toCone /-
 theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s, c • y = x := by
   simp only [to_cone, ConvexCone.mem_mk, mem_Union, mem_smul_set, eq_comm, exists_prop]
 #align convex.mem_to_cone Convex.mem_toCone
+-/
 
+#print Convex.mem_to_cone' /-
 theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
   by
   refine' hs.mem_to_cone.trans ⟨_, _⟩
@@ -710,6 +823,7 @@ theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈
   · rintro ⟨c, hc, hcx⟩
     exact ⟨c⁻¹, inv_pos.2 hc, _, hcx, by rw [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
 #align convex.mem_to_cone' Convex.mem_to_cone'
+-/
 
 #print Convex.subset_toCone /-
 theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
@@ -717,6 +831,7 @@ theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
 #align convex.subset_to_cone Convex.subset_toCone
 -/
 
+#print Convex.toCone_isLeast /-
 /-- `hs.to_cone s` is the least cone that includes `s`. -/
 theorem toCone_isLeast : IsLeast {t : ConvexCone 𝕜 E | s ⊆ t} (hs.toCone s) :=
   by
@@ -724,6 +839,7 @@ theorem toCone_isLeast : IsLeast {t : ConvexCone 𝕜 E | s ⊆ t} (hs.toCone s)
   rcases hs.mem_to_cone.1 hx with ⟨c, hc, y, hy, rfl⟩
   exact t.smul_mem hc (ht hy)
 #align convex.to_cone_is_least Convex.toCone_isLeast
+-/
 
 #print Convex.toCone_eq_sInf /-
 theorem toCone_eq_sInf : hs.toCone s = sInf {t : ConvexCone 𝕜 E | s ⊆ t} :=
@@ -733,6 +849,7 @@ theorem toCone_eq_sInf : hs.toCone s = sInf {t : ConvexCone 𝕜 E | s ⊆ t} :=
 
 end Convex
 
+#print convexHull_toCone_isLeast /-
 theorem convexHull_toCone_isLeast (s : Set E) :
     IsLeast {t : ConvexCone 𝕜 E | s ⊆ t} ((convex_convexHull 𝕜 s).toCone _) :=
   by
@@ -740,6 +857,7 @@ theorem convexHull_toCone_isLeast (s : Set E) :
   ext t
   exact ⟨fun h => convexHull_min h t.convex, (subset_convexHull 𝕜 s).trans⟩
 #align convex_hull_to_cone_is_least convexHull_toCone_isLeast
+-/
 
 #print convexHull_toCone_eq_sInf /-
 theorem convexHull_toCone_eq_sInf (s : Set E) :
@@ -776,6 +894,7 @@ open Submodule
 
 variable (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 
+#print RieszExtension.step /-
 /-- Induction step in M. Riesz extension theorem. Given a convex cone `s` in a vector space `E`,
 a partially defined linear map `f : f.domain → ℝ`, assume that `f` is nonnegative on `f.domain ∩ p`
 and `p + s = E`. If `f` is not defined on the whole `E`, then we can extend it to a larger
@@ -830,7 +949,9 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       rwa [← mul_le_mul_left hr, f.map_smul, smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne',
         one_mul] at this 
 #align riesz_extension.step RieszExtension.step
+-/
 
+#print RieszExtension.exists_top /-
 theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x :=
@@ -858,9 +979,11 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     convert ← hcs hfc ⟨x, hfx⟩ hxs
     apply this.2; rfl
 #align riesz_extension.exists_top RieszExtension.exists_top
+-/
 
 end riesz_extension
 
+#print riesz_extension /-
 /-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
 and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
 there exists a globally defined linear function `g : E → ℝ` that agrees with `f` on `p`,
@@ -877,7 +1000,9 @@ theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
   · exact fun x => (hfg (Submodule.coe_mk _ _).symm).symm
   · exact fun x hx => hgs ⟨x, _⟩ hx
 #align riesz_extension riesz_extension
+-/
 
+#print exists_extension_of_le_sublinear /-
 /-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
 defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,
 then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`
@@ -916,4 +1041,5 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
     simp only [ConvexCone.mem_mk, mem_set_of_eq, Subtype.coe_mk, Prod.fst_add, Prod.snd_add,
       zero_add, sub_add_cancel]
 #align exists_extension_of_le_sublinear exists_extension_of_le_sublinear
+-/
 

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

@@ -627,8 +627,7 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
     (calc
       0 < x := lt_of_le_of_ne xs hx.symm
       _ ≤ x + -x := (le_add_of_nonneg_right hx')
-      _ = 0 := add_neg_self x
-      )
+      _ = 0 := add_neg_self x)
 #align convex_cone.salient_positive ConvexCone.salient_positive
 
 /-- The positive cone of an ordered module is always pointed. -/
@@ -894,7 +893,6 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
         calc
           N (c • p.1) = c * N p.1 := N_hom c hc p.1
           _ ≤ c * p.2 := mul_le_mul_of_nonneg_left hp hc.le
-          
       add_mem' := fun x hx y hy => (N_add _ _).trans (add_le_add hx hy) }
   obtain ⟨g, g_eq, g_nonneg⟩ := riesz_extension s ((-f).coprod (linear_map.id.to_pmap ⊤)) _ _ <;>
     try

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

@@ -208,8 +208,8 @@ instance : CompleteLattice (ConvexCone 𝕜 E) :=
     le_top := fun S x hx => mem_top 𝕜 x
     inf := (· ⊓ ·)
     sInf := InfSet.sInf
-    sup := fun a b => sInf { x | a ≤ x ∧ b ≤ x }
-    sSup := fun s => sInf { T | ∀ S ∈ s, S ≤ T }
+    sup := fun a b => sInf {x | a ≤ x ∧ b ≤ x}
+    sSup := fun s => sInf {T | ∀ S ∈ s, S ≤ T}
     le_sup_left := fun a b => fun x hx => mem_sInf.2 fun s hs => hs.1 hx
     le_sup_right := fun a b => fun x hx => mem_sInf.2 fun s hs => hs.2 hx
     sup_le := fun a b c ha hb x hx => mem_sInf.1 hx c ⟨ha, hb⟩
@@ -408,7 +408,7 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
     exact h₁ x xs H₁ H₂
   · intro h
     unfold flat at h 
-    push_neg  at h 
+    push_neg at h 
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
 
@@ -497,7 +497,7 @@ theorem pointed_zero : (0 : ConvexCone 𝕜 E).Pointed := by rw [pointed, mem_ze
 
 instance : Add (ConvexCone 𝕜 E) :=
   ⟨fun K₁ K₂ =>
-    { carrier := { z | ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = z }
+    { carrier := {z | ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = z}
       smul_mem' := by
         rintro c hc _ ⟨x, y, hx, hy, rfl⟩
         rw [smul_add]
@@ -719,7 +719,7 @@ theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
 -/
 
 /-- `hs.to_cone s` is the least cone that includes `s`. -/
-theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone s) :=
+theorem toCone_isLeast : IsLeast {t : ConvexCone 𝕜 E | s ⊆ t} (hs.toCone s) :=
   by
   refine' ⟨hs.subset_to_cone, fun t ht x hx => _⟩
   rcases hs.mem_to_cone.1 hx with ⟨c, hc, y, hy, rfl⟩
@@ -727,7 +727,7 @@ theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone
 #align convex.to_cone_is_least Convex.toCone_isLeast
 
 #print Convex.toCone_eq_sInf /-
-theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
+theorem toCone_eq_sInf : hs.toCone s = sInf {t : ConvexCone 𝕜 E | s ⊆ t} :=
   hs.toCone_isLeast.IsGLB.sInf_eq.symm
 #align convex.to_cone_eq_Inf Convex.toCone_eq_sInf
 -/
@@ -735,16 +735,16 @@ theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t }
 end Convex
 
 theorem convexHull_toCone_isLeast (s : Set E) :
-    IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } ((convex_convexHull 𝕜 s).toCone _) :=
+    IsLeast {t : ConvexCone 𝕜 E | s ⊆ t} ((convex_convexHull 𝕜 s).toCone _) :=
   by
-  convert(convex_convexHull 𝕜 s).toCone_isLeast
+  convert (convex_convexHull 𝕜 s).toCone_isLeast
   ext t
   exact ⟨fun h => convexHull_min h t.convex, (subset_convexHull 𝕜 s).trans⟩
 #align convex_hull_to_cone_is_least convexHull_toCone_isLeast
 
 #print convexHull_toCone_eq_sInf /-
 theorem convexHull_toCone_eq_sInf (s : Set E) :
-    (convex_convexHull 𝕜 s).toCone _ = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
+    (convex_convexHull 𝕜 s).toCone _ = sInf {t : ConvexCone 𝕜 E | s ⊆ t} :=
   Eq.symm <| IsGLB.sInf_eq <| IsLeast.isGLB <| convexHull_toCone_isLeast s
 #align convex_hull_to_cone_eq_Inf convexHull_toCone_eq_sInf
 -/
@@ -790,8 +790,8 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
   obtain ⟨c, le_c, c_le⟩ :
     ∃ c, (∀ x : f.domain, -(x : E) - y ∈ s → f x ≤ c) ∧ ∀ x : f.domain, (x : E) + y ∈ s → c ≤ f x :=
     by
-    set Sp := f '' { x : f.domain | (x : E) + y ∈ s }
-    set Sn := f '' { x : f.domain | -(x : E) - y ∈ s }
+    set Sp := f '' {x : f.domain | (x : E) + y ∈ s}
+    set Sn := f '' {x : f.domain | -(x : E) - y ∈ s}
     suffices (upperBounds Sn ∩ lowerBounds Sp).Nonempty by
       simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
     refine' exists_between_of_forall_le (nonempty.image f _) (nonempty.image f (Dense y)) _
@@ -836,7 +836,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x :=
   by
-  replace hp_nonneg : p ∈ { p | _ }; · rw [mem_set_of_eq]; exact hp_nonneg
+  replace hp_nonneg : p ∈ {p | _}; · rw [mem_set_of_eq]; exact hp_nonneg
   obtain ⟨q, hqs, hpq, hq⟩ := zorn_nonempty_partialOrder₀ _ _ _ hp_nonneg
   · refine' ⟨q, hpq, _, hqs⟩
     contrapose! hq
@@ -856,7 +856,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
       directedOn_image.2 (c_chain.directed_on.mono linear_pmap.domain_mono.monotone)
     rcases(mem_Sup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
     have : f ≤ LinearPMap.sSup c c_chain.directed_on := LinearPMap.le_sSup _ hfc
-    convert← hcs hfc ⟨x, hfx⟩ hxs
+    convert ← hcs hfc ⟨x, hfx⟩ hxs
     apply this.2; rfl
 #align riesz_extension.exists_top RieszExtension.exists_top
 
@@ -889,7 +889,7 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
     ∃ g : E →ₗ[ℝ] ℝ, (∀ x : f.domain, g x = f x) ∧ ∀ x, g x ≤ N x :=
   by
   let s : ConvexCone ℝ (E × ℝ) :=
-    { carrier := { p : E × ℝ | N p.1 ≤ p.2 }
+    { carrier := {p : E × ℝ | N p.1 ≤ p.2}
       smul_mem' := fun c hc p hp =>
         calc
           N (c • p.1) = c * N p.1 := N_hom c hc p.1

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

@@ -407,8 +407,8 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
   · rintro h₁ ⟨x, xs, H₁, H₂⟩
     exact h₁ x xs H₁ H₂
   · intro h
-    unfold flat at h
-    push_neg  at h
+    unfold flat at h 
+    push_neg  at h 
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
 
@@ -454,7 +454,7 @@ def toPartialOrder (h₁ : S.Pointed) (h₂ : S.Salient) : PartialOrder E :=
       by_contra h
       have h' : b - a ≠ 0 := fun h'' => h (eq_of_sub_eq_zero h'').symm
       have H := h₂ (b - a) ab h'
-      rw [neg_sub b a] at H
+      rw [neg_sub b a] at H 
       exact H ba }
 #align convex_cone.to_partial_order ConvexCone.toPartialOrder
 -/
@@ -785,7 +785,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
     (dense : ∀ y, ∃ x : f.domain, (x : E) + y ∈ s) (hdom : f.domain ≠ ⊤) :
     ∃ g, f < g ∧ ∀ x : g.domain, (x : E) ∈ s → 0 ≤ g x :=
   by
-  obtain ⟨y, -, hy⟩ : ∃ (y : E)(h : y ∈ ⊤), y ∉ f.domain :=
+  obtain ⟨y, -, hy⟩ : ∃ (y : E) (h : y ∈ ⊤), y ∉ f.domain :=
     @SetLike.exists_of_lt (Submodule ℝ E) _ _ _ _ (lt_top_iff_ne_top.2 hdom)
   obtain ⟨c, le_c, c_le⟩ :
     ∃ c, (∀ x : f.domain, -(x : E) - y ∈ s → f x ≤ c) ∧ ∀ x : f.domain, (x : E) + y ∈ s → c ≤ f x :=
@@ -796,23 +796,23 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
     refine' exists_between_of_forall_le (nonempty.image f _) (nonempty.image f (Dense y)) _
     · rcases Dense (-y) with ⟨x, hx⟩
-      rw [← neg_neg x, AddSubgroupClass.coe_neg, ← sub_eq_add_neg] at hx
+      rw [← neg_neg x, AddSubgroupClass.coe_neg, ← sub_eq_add_neg] at hx 
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn
-    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
+    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this 
     replace := nonneg _ this
-    rwa [f.map_sub, sub_nonneg] at this
+    rwa [f.map_sub, sub_nonneg] at this 
   have hy' : y ≠ 0 := fun hy₀ => hy (hy₀.symm ▸ zero_mem _)
   refine' ⟨f.sup_span_singleton y (-c) hy, _, _⟩
   · refine' lt_iff_le_not_le.2 ⟨f.left_le_sup _ _, fun H => _⟩
     replace H := linear_pmap.domain_mono.monotone H
-    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H
+    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H 
     exact hy H.2
   · rintro ⟨z, hz⟩ hzs
     rcases mem_sup.1 hz with ⟨x, hx, y', hy', rfl⟩
     rcases mem_span_singleton.1 hy' with ⟨r, rfl⟩
-    simp only [Subtype.coe_mk] at hzs
+    simp only [Subtype.coe_mk] at hzs 
     erw [LinearPMap.supSpanSingleton_apply_mk _ _ _ _ _ hx, smul_neg, ← sub_eq_add_neg, sub_nonneg]
     rcases lt_trichotomy r 0 with (hr | hr | hr)
     · have : -(r⁻¹ • x) - y ∈ s := by
@@ -820,16 +820,16 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
           mul_inv_cancel hr.ne, one_smul, sub_eq_add_neg, neg_smul, neg_neg]
       replace := le_c (r⁻¹ • ⟨x, hx⟩) this
       rwa [← mul_le_mul_left (neg_pos.2 hr), neg_mul, neg_mul, neg_le_neg_iff, f.map_smul,
-        smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this
+        smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this 
     · subst r
-      simp only [zero_smul, add_zero] at hzs⊢
+      simp only [zero_smul, add_zero] at hzs ⊢
       apply nonneg
       exact hzs
     · have : r⁻¹ • x + y ∈ s := by
         rwa [← s.smul_mem_iff hr, smul_add, smul_smul, mul_inv_cancel hr.ne', one_smul]
       replace := c_le (r⁻¹ • ⟨x, hx⟩) this
       rwa [← mul_le_mul_left hr, f.map_smul, smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne',
-        one_mul] at this
+        one_mul] at this 
 #align riesz_extension.step RieszExtension.step
 
 theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
@@ -908,9 +908,9 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
     · intro x
       have A : (x, N x) = (x, 0) + (0, N x) := by simp
       have B := g_nonneg ⟨x, N x⟩ (le_refl (N x))
-      rw [A, map_add, ← neg_le_iff_add_nonneg'] at B
+      rw [A, map_add, ← neg_le_iff_add_nonneg'] at B 
       have C := g_eq 0 (N x)
-      simp only [Submodule.coe_zero, f.map_zero, sub_zero] at C
+      simp only [Submodule.coe_zero, f.map_zero, sub_zero] at C 
       rwa [← C]
   · exact fun x hx => le_trans (hf _) hx
   · rintro ⟨x, y⟩

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

@@ -69,7 +69,7 @@ assert_not_exists NormedSpace
 
 open Set LinearMap
 
-open Classical Pointwise
+open scoped Classical Pointwise
 
 variable {𝕜 E F G : Type _}
 

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

@@ -108,56 +108,26 @@ instance : SetLike (ConvexCone 𝕜 E) E where
   coe := carrier
   coe_injective' S T h := by cases S <;> cases T <;> congr
 
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 @[simp]
 theorem coe_mk {s : Set E} {h₁ h₂} : ↑(@mk 𝕜 _ _ _ _ s h₁ h₂) = s :=
   rfl
 #align convex_cone.coe_mk ConvexCone.coe_mk
 
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 @[simp]
 theorem mem_mk {s : Set E} {h₁ h₂ x} : x ∈ @mk 𝕜 _ _ _ _ s h₁ h₂ ↔ x ∈ s :=
   Iff.rfl
 #align convex_cone.mem_mk ConvexCone.mem_mk
 
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 /-- Two `convex_cone`s are equal if they have the same elements. -/
 @[ext]
 theorem ext {S T : ConvexCone 𝕜 E} (h : ∀ x, x ∈ S ↔ x ∈ T) : S = T :=
   SetLike.ext h
 #align convex_cone.ext ConvexCone.ext
 
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 theorem smul_mem {c : 𝕜} {x : E} (hc : 0 < c) (hx : x ∈ S) : c • x ∈ S :=
   S.smul_mem' hc hx
 #align convex_cone.smul_mem ConvexCone.smul_mem
 
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 theorem add_mem ⦃x⦄ (hx : x ∈ S) ⦃y⦄ (hy : y ∈ S) : x + y ∈ S :=
   S.add_mem' hx hy
 #align convex_cone.add_mem ConvexCone.add_mem
@@ -169,23 +139,11 @@ instance : Inf (ConvexCone 𝕜 E) :=
     ⟨S ∩ T, fun c hc x hx => ⟨S.smul_mem hc hx.1, T.smul_mem hc hx.2⟩, fun x hx y hy =>
       ⟨S.add_mem hx.1 hy.1, T.add_mem hx.2 hy.2⟩⟩⟩
 
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 @[simp]
 theorem coe_inf : ((S ⊓ T : ConvexCone 𝕜 E) : Set E) = ↑S ∩ ↑T :=
   rfl
 #align convex_cone.coe_inf ConvexCone.coe_inf
 
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 theorem mem_inf {x} : x ∈ S ⊓ T ↔ x ∈ S ∧ x ∈ T :=
   Iff.rfl
 #align convex_cone.mem_inf ConvexCone.mem_inf
@@ -196,44 +154,20 @@ instance : InfSet (ConvexCone 𝕜 E) :=
       fun x hx y hy =>
       mem_biInter fun s hs => s.add_mem (mem_iInter₂.1 hx s hs) (mem_iInter₂.1 hy s hs)⟩⟩
 
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 @[simp]
 theorem coe_sInf (S : Set (ConvexCone 𝕜 E)) : ↑(sInf S) = ⋂ s ∈ S, (s : Set E) :=
   rfl
 #align convex_cone.coe_Inf ConvexCone.coe_sInf
 
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 theorem mem_sInf {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s :=
   mem_iInter₂
 #align convex_cone.mem_Inf ConvexCone.mem_sInf
 
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 @[simp]
 theorem coe_iInf {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
   simp [iInf]
 #align convex_cone.coe_infi ConvexCone.coe_iInf
 
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 theorem mem_iInf {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
   mem_iInter₂.trans <| by simp
 #align convex_cone.mem_infi ConvexCone.mem_iInf
@@ -243,22 +177,10 @@ variable (𝕜)
 instance : Bot (ConvexCone 𝕜 E) :=
   ⟨⟨∅, fun c hc x => False.elim, fun x => False.elim⟩⟩
 
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 theorem mem_bot (x : E) : (x ∈ (⊥ : ConvexCone 𝕜 E)) = False :=
   rfl
 #align convex_cone.mem_bot ConvexCone.mem_bot
 
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 @[simp]
 theorem coe_bot : ↑(⊥ : ConvexCone 𝕜 E) = (∅ : Set E) :=
   rfl
@@ -267,22 +189,10 @@ theorem coe_bot : ↑(⊥ : ConvexCone 𝕜 E) = (∅ : Set E) :=
 instance : Top (ConvexCone 𝕜 E) :=
   ⟨⟨univ, fun c hc x hx => mem_univ _, fun x hx y hy => mem_univ _⟩⟩
 
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 theorem mem_top (x : E) : x ∈ (⊤ : ConvexCone 𝕜 E) :=
   mem_univ x
 #align convex_cone.mem_top ConvexCone.mem_top
 
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 @[simp]
 theorem coe_top : ↑(⊤ : ConvexCone 𝕜 E) = (univ : Set E) :=
   rfl
@@ -320,12 +230,6 @@ section Module
 
 variable [Module 𝕜 E] (S : ConvexCone 𝕜 E)
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.convex ConvexCone.convexₓ'. -/
 protected theorem convex : Convex 𝕜 (S : Set E) :=
   convex_iff_forall_pos.2 fun x hx y hy a b ha hb _ =>
     S.add_mem (S.smul_mem ha hx) (S.smul_mem hb hy)
@@ -347,9 +251,6 @@ section MulAction
 
 variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
 
-/- warning: convex_cone.smul_mem_iff -> ConvexCone.smul_mem_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.smul_mem_iff ConvexCone.smul_mem_iffₓ'. -/
 theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
   ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
 #align convex_cone.smul_mem_iff ConvexCone.smul_mem_iff
@@ -371,28 +272,16 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
 #align convex_cone.map ConvexCone.map
 -/
 
-/- warning: convex_cone.mem_map -> ConvexCone.mem_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_map ConvexCone.mem_mapₓ'. -/
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
   mem_image_iff_bex
 #align convex_cone.mem_map ConvexCone.mem_map
 
-/- warning: convex_cone.map_map -> ConvexCone.map_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.map_map ConvexCone.map_mapₓ'. -/
 theorem map_map (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) :
     (S.map f).map g = S.map (g.comp f) :=
   SetLike.coe_injective <| image_image g f S
 #align convex_cone.map_map ConvexCone.map_map
 
-/- warning: convex_cone.map_id -> ConvexCone.map_id is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align convex_cone.map_id ConvexCone.map_idₓ'. -/
 @[simp]
 theorem map_id (S : ConvexCone 𝕜 E) : S.map LinearMap.id = S :=
   SetLike.coe_injective <| image_id _
@@ -408,36 +297,21 @@ def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
 #align convex_cone.comap ConvexCone.comap
 -/
 
-/- warning: convex_cone.coe_comap -> ConvexCone.coe_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.coe_comap ConvexCone.coe_comapₓ'. -/
 @[simp]
 theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f : Set E) = f ⁻¹' S :=
   rfl
 #align convex_cone.coe_comap ConvexCone.coe_comap
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.comap_id ConvexCone.comap_idₓ'. -/
 @[simp]
 theorem comap_id (S : ConvexCone 𝕜 E) : S.comap LinearMap.id = S :=
   SetLike.coe_injective preimage_id
 #align convex_cone.comap_id ConvexCone.comap_id
 
-/- warning: convex_cone.comap_comap -> ConvexCone.comap_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.comap_comap ConvexCone.comap_comapₓ'. -/
 theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 G) :
     (S.comap g).comap f = S.comap (g.comp f) :=
   SetLike.coe_injective <| preimage_comp.symm
 #align convex_cone.comap_comap ConvexCone.comap_comap
 
-/- warning: convex_cone.mem_comap -> ConvexCone.mem_comap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_comap ConvexCone.mem_comapₓ'. -/
 @[simp]
 theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈ S.comap f ↔ f x ∈ S :=
   Iff.rfl
@@ -451,9 +325,6 @@ section OrderedAddCommGroup
 
 variable [OrderedAddCommGroup E] [Module 𝕜 E]
 
-/- warning: convex_cone.to_ordered_smul -> ConvexCone.to_orderedSMul is a dubious translation:
-<too large>
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 /-- Constructs an ordered module given an `ordered_add_comm_group`, a cone, and a proof that
 the order relation is the one defined by the cone.
 -/
@@ -494,42 +365,18 @@ def Blunt (S : ConvexCone 𝕜 E) : Prop :=
 #align convex_cone.blunt ConvexCone.Blunt
 -/
 
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 theorem pointed_iff_not_blunt (S : ConvexCone 𝕜 E) : S.Pointed ↔ ¬S.Blunt :=
   ⟨fun h₁ h₂ => h₂ h₁, Classical.not_not.mp⟩
 #align convex_cone.pointed_iff_not_blunt ConvexCone.pointed_iff_not_blunt
 
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 theorem blunt_iff_not_pointed (S : ConvexCone 𝕜 E) : S.Blunt ↔ ¬S.Pointed := by
   rw [pointed_iff_not_blunt, Classical.not_not]
 #align convex_cone.blunt_iff_not_pointed ConvexCone.blunt_iff_not_pointed
 
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 theorem Pointed.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Pointed → T.Pointed :=
   @h _
 #align convex_cone.pointed.mono ConvexCone.Pointed.mono
 
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 theorem Blunt.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Blunt → T.Blunt :=
   (· ∘ @h)
 #align convex_cone.blunt.anti ConvexCone.Blunt.anti
@@ -554,12 +401,6 @@ def Salient : Prop :=
 #align convex_cone.salient ConvexCone.Salient
 -/
 
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 theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
   by
   constructor
@@ -571,32 +412,14 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
 
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 theorem Flat.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Flat → T.Flat
   | ⟨x, hxS, hx, hnxS⟩ => ⟨x, h hxS, hx, h hnxS⟩
 #align convex_cone.flat.mono ConvexCone.Flat.mono
 
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 theorem Salient.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Salient → T.Salient :=
   fun hS x hxT hx hnT => hS x (h hxT) hx (h hnT)
 #align convex_cone.salient.anti ConvexCone.Salient.anti
 
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 /-- A flat cone is always pointed (contains `0`). -/
 theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   by
@@ -605,12 +428,6 @@ theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   exact add_mem S hx hxneg
 #align convex_cone.flat.pointed ConvexCone.Flat.pointed
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.blunt.salient ConvexCone.Blunt.salientₓ'. -/
 /-- A blunt cone (one not containing `0`) is always salient. -/
 theorem Blunt.salient {S : ConvexCone 𝕜 E} : S.Blunt → S.Salient :=
   by
@@ -663,12 +480,6 @@ variable [AddCommMonoid E] [Module 𝕜 E]
 instance : Zero (ConvexCone 𝕜 E) :=
   ⟨⟨0, fun _ _ => by simp, fun _ => by simp⟩⟩
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_zero ConvexCone.mem_zeroₓ'. -/
 @[simp]
 theorem mem_zero (x : E) : x ∈ (0 : ConvexCone 𝕜 E) ↔ x = 0 :=
   Iff.rfl
@@ -681,12 +492,6 @@ theorem coe_zero : ((0 : ConvexCone 𝕜 E) : Set E) = 0 :=
 #align convex_cone.coe_zero ConvexCone.coe_zero
 -/
 
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 theorem pointed_zero : (0 : ConvexCone 𝕜 E).Pointed := by rw [pointed, mem_zero]
 #align convex_cone.pointed_zero ConvexCone.pointed_zero
 
@@ -702,9 +507,6 @@ instance : Add (ConvexCone 𝕜 E) :=
         use x₁ + y₁, x₂ + y₂, K₁.add_mem hx₁ hy₁, K₂.add_mem hx₂ hy₂
         abel }⟩
 
-/- warning: convex_cone.mem_add -> ConvexCone.mem_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_add ConvexCone.mem_addₓ'. -/
 @[simp]
 theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
     a ∈ K₁ + K₂ ↔ ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = a :=
@@ -749,76 +551,37 @@ def toConvexCone (S : Submodule 𝕜 E) : ConvexCone 𝕜 E
 #align submodule.to_convex_cone Submodule.toConvexCone
 -/
 
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 @[simp]
 theorem coe_toConvexCone (S : Submodule 𝕜 E) : ↑S.toConvexCone = (S : Set E) :=
   rfl
 #align submodule.coe_to_convex_cone Submodule.coe_toConvexCone
 
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-Case conversion may be inaccurate. Consider using '#align submodule.mem_to_convex_cone Submodule.mem_toConvexConeₓ'. -/
 @[simp]
 theorem mem_toConvexCone {x : E} {S : Submodule 𝕜 E} : x ∈ S.toConvexCone ↔ x ∈ S :=
   Iff.rfl
 #align submodule.mem_to_convex_cone Submodule.mem_toConvexCone
 
-/- warning: submodule.to_convex_cone_le_iff -> Submodule.toConvexCone_le_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iffₓ'. -/
 @[simp]
 theorem toConvexCone_le_iff {S T : Submodule 𝕜 E} : S.toConvexCone ≤ T.toConvexCone ↔ S ≤ T :=
   Iff.rfl
 #align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iff
 
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 @[simp]
 theorem toConvexCone_bot : (⊥ : Submodule 𝕜 E).toConvexCone = 0 :=
   rfl
 #align submodule.to_convex_cone_bot Submodule.toConvexCone_bot
 
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 @[simp]
 theorem toConvexCone_top : (⊤ : Submodule 𝕜 E).toConvexCone = ⊤ :=
   rfl
 #align submodule.to_convex_cone_top Submodule.toConvexCone_top
 
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 @[simp]
 theorem toConvexCone_inf (S T : Submodule 𝕜 E) :
     (S ⊓ T).toConvexCone = S.toConvexCone ⊓ T.toConvexCone :=
   rfl
 #align submodule.to_convex_cone_inf Submodule.toConvexCone_inf
 
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 @[simp]
 theorem pointed_toConvexCone (S : Submodule 𝕜 E) : S.toConvexCone.Pointed :=
   S.zero_mem
@@ -839,12 +602,6 @@ section PositiveCone
 
 variable (𝕜 E) [OrderedSemiring 𝕜] [OrderedAddCommGroup E] [Module 𝕜 E] [OrderedSMul 𝕜 E]
 
-/- warning: convex_cone.positive -> ConvexCone.positive is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align convex_cone.positive ConvexCone.positiveₓ'. -/
 /-- The positive cone is the convex cone formed by the set of nonnegative elements in an ordered
 module.
 -/
@@ -854,28 +611,16 @@ def positive : ConvexCone 𝕜 E where
   add_mem' x (hx : _ ≤ _) y (hy : _ ≤ _) := add_nonneg hx hy
 #align convex_cone.positive ConvexCone.positive
 
-/- warning: convex_cone.mem_positive -> ConvexCone.mem_positive is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_positive ConvexCone.mem_positiveₓ'. -/
 @[simp]
 theorem mem_positive {x : E} : x ∈ positive 𝕜 E ↔ 0 ≤ x :=
   Iff.rfl
 #align convex_cone.mem_positive ConvexCone.mem_positive
 
-/- warning: convex_cone.coe_positive -> ConvexCone.coe_positive is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.coe_positive ConvexCone.coe_positiveₓ'. -/
 @[simp]
 theorem coe_positive : ↑(positive 𝕜 E) = Set.Ici (0 : E) :=
   rfl
 #align convex_cone.coe_positive ConvexCone.coe_positive
 
-/- warning: convex_cone.salient_positive -> ConvexCone.salient_positive is a dubious translation:
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-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
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-Case conversion may be inaccurate. Consider using '#align convex_cone.salient_positive ConvexCone.salient_positiveₓ'. -/
 /-- The positive cone of an ordered module is always salient. -/
 theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
   lt_irrefl (0 : E)
@@ -886,23 +631,11 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
       )
 #align convex_cone.salient_positive ConvexCone.salient_positive
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.pointed_positive ConvexCone.pointed_positiveₓ'. -/
 /-- The positive cone of an ordered module is always pointed. -/
 theorem pointed_positive : Pointed (positive 𝕜 E) :=
   le_refl 0
 #align convex_cone.pointed_positive ConvexCone.pointed_positive
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.strictly_positive ConvexCone.strictlyPositiveₓ'. -/
 /-- The cone of strictly positive elements.
 
 Note that this naming diverges from the mathlib convention of `pos` and `nonneg` due to "positive
@@ -914,45 +647,24 @@ def strictlyPositive : ConvexCone 𝕜 E
   add_mem' x hx y hy := add_pos hx hy
 #align convex_cone.strictly_positive ConvexCone.strictlyPositive
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositiveₓ'. -/
 @[simp]
 theorem mem_strictlyPositive {x : E} : x ∈ strictlyPositive 𝕜 E ↔ 0 < x :=
   Iff.rfl
 #align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositive
 
-/- warning: convex_cone.coe_strictly_positive -> ConvexCone.coe_strictlyPositive is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositiveₓ'. -/
 @[simp]
 theorem coe_strictlyPositive : ↑(strictlyPositive 𝕜 E) = Set.Ioi (0 : E) :=
   rfl
 #align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositive
 
-/- warning: convex_cone.positive_le_strictly_positive -> ConvexCone.positive_le_strictlyPositive is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositiveₓ'. -/
 theorem positive_le_strictlyPositive : strictlyPositive 𝕜 E ≤ positive 𝕜 E := fun x => le_of_lt
 #align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositive
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.salient_strictly_positive ConvexCone.salient_strictlyPositiveₓ'. -/
 /-- The strictly positive cone of an ordered module is always salient. -/
 theorem salient_strictlyPositive : Salient (strictlyPositive 𝕜 E) :=
   (salient_positive 𝕜 E).anti <| positive_le_strictlyPositive 𝕜 E
 #align convex_cone.salient_strictly_positive ConvexCone.salient_strictlyPositive
 
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-Case conversion may be inaccurate. Consider using '#align convex_cone.blunt_strictly_positive ConvexCone.blunt_strictlyPositiveₓ'. -/
 /-- The strictly positive cone of an ordered module is always blunt. -/
 theorem blunt_strictlyPositive : Blunt (strictlyPositive 𝕜 E) :=
   lt_irrefl 0
@@ -987,16 +699,10 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
 
 variable {s : Set E} (hs : Convex 𝕜 s) {x : E}
 
-/- warning: convex.mem_to_cone -> Convex.mem_toCone is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone Convex.mem_toConeₓ'. -/
 theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s, c • y = x := by
   simp only [to_cone, ConvexCone.mem_mk, mem_Union, mem_smul_set, eq_comm, exists_prop]
 #align convex.mem_to_cone Convex.mem_toCone
 
-/- warning: convex.mem_to_cone' -> Convex.mem_to_cone' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone' Convex.mem_to_cone'ₓ'. -/
 theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
   by
   refine' hs.mem_to_cone.trans ⟨_, _⟩
@@ -1012,9 +718,6 @@ theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
 #align convex.subset_to_cone Convex.subset_toCone
 -/
 
-/- warning: convex.to_cone_is_least -> Convex.toCone_isLeast is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex.to_cone_is_least Convex.toCone_isLeastₓ'. -/
 /-- `hs.to_cone s` is the least cone that includes `s`. -/
 theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone s) :=
   by
@@ -1031,9 +734,6 @@ theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t }
 
 end Convex
 
-/- warning: convex_hull_to_cone_is_least -> convexHull_toCone_isLeast is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_to_cone_is_least convexHull_toCone_isLeastₓ'. -/
 theorem convexHull_toCone_isLeast (s : Set E) :
     IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } ((convex_convexHull 𝕜 s).toCone _) :=
   by
@@ -1077,9 +777,6 @@ open Submodule
 
 variable (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 
-/- warning: riesz_extension.step -> RieszExtension.step is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align riesz_extension.step RieszExtension.stepₓ'. -/
 /-- Induction step in M. Riesz extension theorem. Given a convex cone `s` in a vector space `E`,
 a partially defined linear map `f : f.domain → ℝ`, assume that `f` is nonnegative on `f.domain ∩ p`
 and `p + s = E`. If `f` is not defined on the whole `E`, then we can extend it to a larger
@@ -1135,9 +832,6 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
         one_mul] at this
 #align riesz_extension.step RieszExtension.step
 
-/- warning: riesz_extension.exists_top -> RieszExtension.exists_top is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align riesz_extension.exists_top RieszExtension.exists_topₓ'. -/
 theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x :=
@@ -1168,9 +862,6 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
 
 end riesz_extension
 
-/- warning: riesz_extension -> riesz_extension is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align riesz_extension riesz_extensionₓ'. -/
 /-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
 and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
 there exists a globally defined linear function `g : E → ℝ` that agrees with `f` on `p`,
@@ -1188,9 +879,6 @@ theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
   · exact fun x hx => hgs ⟨x, _⟩ hx
 #align riesz_extension riesz_extension
 
-/- warning: exists_extension_of_le_sublinear -> exists_extension_of_le_sublinear is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align exists_extension_of_le_sublinear exists_extension_of_le_sublinearₓ'. -/
 /-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
 defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,
 then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`

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

@@ -403,12 +403,8 @@ theorem map_id (S : ConvexCone 𝕜 E) : S.map LinearMap.id = S :=
 def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
     where
   carrier := f ⁻¹' S
-  smul_mem' c hc x hx := by
-    rw [mem_preimage, f.map_smul c]
-    exact S.smul_mem hc hx
-  add_mem' x hx y hy := by
-    rw [mem_preimage, f.map_add]
-    exact S.add_mem hx hy
+  smul_mem' c hc x hx := by rw [mem_preimage, f.map_smul c]; exact S.smul_mem hc hx
+  add_mem' x hx y hy := by rw [mem_preimage, f.map_add]; exact S.add_mem hx hy
 #align convex_cone.comap ConvexCone.comap
 -/
 
@@ -716,11 +712,7 @@ theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
 #align convex_cone.mem_add ConvexCone.mem_add
 
 instance : AddZeroClass (ConvexCone 𝕜 E) :=
-  ⟨0, Add.add, fun _ => by
-    ext
-    simp, fun _ => by
-    ext
-    simp⟩
+  ⟨0, Add.add, fun _ => by ext; simp, fun _ => by ext; simp⟩
 
 instance : AddCommSemigroup (ConvexCone 𝕜 E)
     where
@@ -1150,9 +1142,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x :=
   by
-  replace hp_nonneg : p ∈ { p | _ };
-  · rw [mem_set_of_eq]
-    exact hp_nonneg
+  replace hp_nonneg : p ∈ { p | _ }; · rw [mem_set_of_eq]; exact hp_nonneg
   obtain ⟨q, hqs, hpq, hq⟩ := zorn_nonempty_partialOrder₀ _ _ _ hp_nonneg
   · refine' ⟨q, hpq, _, hqs⟩
     contrapose! hq
@@ -1173,8 +1163,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     rcases(mem_Sup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
     have : f ≤ LinearPMap.sSup c c_chain.directed_on := LinearPMap.le_sSup _ hfc
     convert← hcs hfc ⟨x, hfx⟩ hxs
-    apply this.2
-    rfl
+    apply this.2; rfl
 #align riesz_extension.exists_top RieszExtension.exists_top
 
 end riesz_extension
@@ -1227,8 +1216,7 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
   · intro x y
     simpa only [Subtype.coe_mk, Subtype.coe_eta] using g_eq ⟨(x, y), ⟨x.2, trivial⟩⟩
   · refine' ⟨-g.comp (inl ℝ E ℝ), _, _⟩ <;> simp only [neg_apply, inl_apply, comp_apply]
-    · intro x
-      simp [g_eq x 0]
+    · intro x; simp [g_eq x 0]
     · intro x
       have A : (x, N x) = (x, 0) + (0, N x) := by simp
       have B := g_nonneg ⟨x, N x⟩ (le_refl (N x))

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

@@ -348,10 +348,7 @@ section MulAction
 variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
 
 /- warning: convex_cone.smul_mem_iff -> ConvexCone.smul_mem_iff is a dubious translation:
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(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))))))) _inst_5)) E (ConvexCone.instSetLikeConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) c x) S) (Membership.mem.{u1, u1} E (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) (SetLike.instMembership.{u1, u1} (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) E (ConvexCone.instSetLikeConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5))) x S))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.smul_mem_iff ConvexCone.smul_mem_iffₓ'. -/
 theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
   ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
@@ -375,10 +372,7 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
 -/
 
 /- warning: convex_cone.mem_map -> ConvexCone.mem_map is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => Exists.{0} (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) (fun (H : Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) => Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) y)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.mem.{u1, u1} F (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => And (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x S) (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) y)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_map ConvexCone.mem_mapₓ'. -/
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
@@ -386,10 +380,7 @@ theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S
 #align convex_cone.mem_map ConvexCone.mem_map
 
 /- warning: convex_cone.map_map -> ConvexCone.map_map is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u4} G] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] [_inst_7 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4] (g : LinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, 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(DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) g f) S)
-but is expected to have type
-  forall {𝕜 : Type.{u4}} {E : Type.{u1}} {F : Type.{u3}} {G : Type.{u2}} [_inst_1 : LinearOrderedField.{u4} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u2} G] [_inst_5 : Module.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u4, u3} 𝕜 F (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_3] [_inst_7 : Module.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4] (g : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u4, u4, u1, u3} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u4, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u4, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (Module.toMulActionWithZero.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_5))))), Eq.{succ u2} (ConvexCone.{u4, u2} 𝕜 G (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜 G (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 G (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 G (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 _inst_7))))) (ConvexCone.map.{u4, u3, u2} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g (ConvexCone.map.{u4, u1, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (ConvexCone.map.{u4, u1, u2} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u4, u4, u4, u1, u3, u2} 𝕜 𝕜 𝕜 E F G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u4, u4} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))))) g f) S)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.map_map ConvexCone.map_mapₓ'. -/
 theorem map_map (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) :
     (S.map f).map g = S.map (g.comp f) :=
@@ -422,10 +413,7 @@ def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
 -/
 
 /- warning: convex_cone.coe_comap -> ConvexCone.coe_comap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 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(StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))))) (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (HasLiftT.mk.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (CoeTCₓ.coe.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (SetLike.Set.hasCoeT.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))))) S))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 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_inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f) (SetLike.coe.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) S))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.coe_comap ConvexCone.coe_comapₓ'. -/
 @[simp]
 theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f : Set E) = f ⁻¹' S :=
@@ -444,10 +432,7 @@ theorem comap_id (S : ConvexCone 𝕜 E) : S.comap LinearMap.id = S :=
 #align convex_cone.comap_id ConvexCone.comap_id
 
 /- warning: convex_cone.comap_comap -> ConvexCone.comap_comap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u4} G] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] [_inst_7 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4] (g : LinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u1, u4} 𝕜 G (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (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.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4 _inst_7))))), Eq.{succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f (ConvexCone.comap.{u1, u3, u4} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g S)) (ConvexCone.comap.{u1, u2, u4} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u1, u1, u1, u2, u3, u4} 𝕜 𝕜 𝕜 E F G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) g f) S)
-but is expected to have type
-  forall {𝕜 : Type.{u4}} {E : Type.{u1}} {F : Type.{u3}} {G : Type.{u2}} [_inst_1 : LinearOrderedField.{u4} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u2} G] [_inst_5 : Module.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u4, u3} 𝕜 F (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_3] [_inst_7 : Module.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4] (g : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u4, u4, u1, u3} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u4, u2} 𝕜 G (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜 G (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 G (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 G (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 _inst_7))))), Eq.{succ u1} (ConvexCone.{u4, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u4, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (Module.toMulActionWithZero.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u4, u1, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f (ConvexCone.comap.{u4, u3, u2} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g S)) (ConvexCone.comap.{u4, u1, u2} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u4, u4, u4, u1, u3, u2} 𝕜 𝕜 𝕜 E F G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u4, u4} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))))) g f) S)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.comap_comap ConvexCone.comap_comapₓ'. -/
 theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 G) :
     (S.comap g).comap f = S.comap (g.comp f) :=
@@ -455,10 +440,7 @@ theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCon
 #align convex_cone.comap_comap ConvexCone.comap_comap
 
 /- warning: convex_cone.mem_comap -> ConvexCone.mem_comap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) S)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) S)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_comap ConvexCone.mem_comapₓ'. -/
 @[simp]
 theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈ S.comap f ↔ f x ∈ S :=
@@ -474,10 +456,7 @@ section OrderedAddCommGroup
 variable [OrderedAddCommGroup E] [Module 𝕜 E]
 
 /- warning: convex_cone.to_ordered_smul -> ConvexCone.to_orderedSMul is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] (S : ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))), (forall (x : E) (y : E), Iff (LE.le.{u2} E (Preorder.toHasLe.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) x y) (Membership.Mem.{u2, u2} E (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) y x) S)) -> (OrderedSMul.{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))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : 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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] (S : ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))), (forall (x : E) (y : E), Iff (LE.le.{u1} E (Preorder.toLE.{u1} E (PartialOrder.toPreorder.{u1} E (OrderedAddCommGroup.toPartialOrder.{u1} E _inst_2))) x y) (Membership.mem.{u1, u1} E (ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))))) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))) y x) S)) -> (OrderedSMul.{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))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.to_ordered_smul ConvexCone.to_orderedSMulₓ'. -/
 /-- Constructs an ordered module given an `ordered_add_comm_group`, a cone, and a proof that
 the order relation is the one defined by the cone.
@@ -728,10 +707,7 @@ instance : Add (ConvexCone 𝕜 E) :=
         abel }⟩
 
 /- warning: convex_cone.mem_add -> ConvexCone.mem_add is a dubious translation:
-lean 3 declaration is
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u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))} {K₂ : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))} {a : E}, Iff (Membership.Mem.{u2, u2} E 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_inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) y K₂) (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_add ConvexCone.mem_addₓ'. -/
 @[simp]
 theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
@@ -804,10 +780,7 @@ theorem mem_toConvexCone {x : E} {S : Submodule 𝕜 E} : x ∈ S.toConvexCone 
 #align submodule.mem_to_convex_cone Submodule.mem_toConvexCone
 
 /- warning: submodule.to_convex_cone_le_iff -> Submodule.toConvexCone_le_iff is a dubious translation:
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(OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.completeLattice.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) S T)
+<too large>
 Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iffₓ'. -/
 @[simp]
 theorem toConvexCone_le_iff {S T : Submodule 𝕜 E} : S.toConvexCone ≤ T.toConvexCone ↔ S ≤ T :=
@@ -890,10 +863,7 @@ def positive : ConvexCone 𝕜 E where
 #align convex_cone.positive ConvexCone.positive
 
 /- warning: convex_cone.mem_positive -> ConvexCone.mem_positive is a dubious translation:
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E _inst_2)) _inst_3)))))) x (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LE.le.{u2} E (Preorder.toHasLe.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) x)
-but is expected to have type
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(OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) 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(OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LE.le.{u2} E (Preorder.toLE.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_positive ConvexCone.mem_positiveₓ'. -/
 @[simp]
 theorem mem_positive {x : E} : x ∈ positive 𝕜 E ↔ 0 ≤ x :=
@@ -901,10 +871,7 @@ theorem mem_positive {x : E} : x ∈ positive 𝕜 E ↔ 0 ≤ x :=
 #align convex_cone.mem_positive ConvexCone.mem_positive
 
 /- warning: convex_cone.coe_positive -> ConvexCone.coe_positive is a dubious translation:
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(OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, 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(SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ici.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ici.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.coe_positive ConvexCone.coe_positiveₓ'. -/
 @[simp]
 theorem coe_positive : ↑(positive 𝕜 E) = Set.Ici (0 : E) :=
@@ -956,10 +923,7 @@ def strictlyPositive : ConvexCone 𝕜 E
 #align convex_cone.strictly_positive ConvexCone.strictlyPositive
 
 /- warning: convex_cone.mem_strictly_positive -> ConvexCone.mem_strictlyPositive is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 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E _inst_2)) _inst_3)))))) x (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LT.lt.{u2} E (Preorder.toHasLt.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) x)
-but is expected to have type
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(OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) 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(OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LT.lt.{u2} E (Preorder.toLT.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositiveₓ'. -/
 @[simp]
 theorem mem_strictlyPositive {x : E} : x ∈ strictlyPositive 𝕜 E ↔ 0 < x :=
@@ -967,10 +931,7 @@ theorem mem_strictlyPositive {x : E} : x ∈ strictlyPositive 𝕜 E ↔ 0 < x :
 #align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositive
 
 /- warning: convex_cone.coe_strictly_positive -> ConvexCone.coe_strictlyPositive is a dubious translation:
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(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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositiveₓ'. -/
 @[simp]
 theorem coe_strictlyPositive : ↑(strictlyPositive 𝕜 E) = Set.Ioi (0 : E) :=
@@ -978,10 +939,7 @@ theorem coe_strictlyPositive : ↑(strictlyPositive 𝕜 E) = Set.Ioi (0 : E) :=
 #align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositive
 
 /- warning: convex_cone.positive_le_strictly_positive -> ConvexCone.positive_le_strictlyPositive is a dubious translation:
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-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (Preorder.toLE.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))))))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositiveₓ'. -/
 theorem positive_le_strictlyPositive : strictlyPositive 𝕜 E ≤ positive 𝕜 E := fun x => le_of_lt
 #align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositive
@@ -1038,20 +996,14 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
 variable {s : Set E} (hs : Convex 𝕜 s) {x : E}
 
 /- warning: convex.mem_to_cone -> Convex.mem_toCone is a dubious translation:
-lean 3 declaration is
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(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_2)))) (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_2)))) (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_2) _inst_3)))) s) {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (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))))))))))) c) (Exists.{succ u2} E (fun (y : E) => Exists.{0} (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) (fun (H : Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) => Eq.{succ 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))) c y) x)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s) {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))))) c) (Exists.{succ u2} E (fun (y : E) => And (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) (Eq.{succ u2} E (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E 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_inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c y) x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone Convex.mem_toConeₓ'. -/
 theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s, c • y = x := by
   simp only [to_cone, ConvexCone.mem_mk, mem_Union, mem_smul_set, eq_comm, exists_prop]
 #align convex.mem_to_cone Convex.mem_toCone
 
 /- warning: convex.mem_to_cone' -> Convex.mem_to_cone' is a dubious translation:
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(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_2)))) (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_2)))) (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_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (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))))))))))) c) (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_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s) {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 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(StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))))) c) (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x) s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone' Convex.mem_to_cone'ₓ'. -/
 theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
   by
@@ -1069,10 +1021,7 @@ theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
 -/
 
 /- warning: convex.to_cone_is_least -> Convex.toCone_isLeast is a dubious translation:
-lean 3 declaration is
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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (SetLike.partialOrder.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))))) (setOf.{u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (fun (t : ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s), IsLeast.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (setOf.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (t : ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex.to_cone_is_least Convex.toCone_isLeastₓ'. -/
 /-- `hs.to_cone s` is the least cone that includes `s`. -/
 theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone s) :=
@@ -1091,10 +1040,7 @@ theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t }
 end Convex
 
 /- warning: convex_hull_to_cone_is_least -> convexHull_toCone_isLeast is a dubious translation:
-lean 3 declaration is
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(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_2)))) (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_2)))) (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_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (SetLike.partialOrder.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))))) (setOf.{u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (fun (t : ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 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s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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 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(AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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 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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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) 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(AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (coeFn.{succ u2, succ u2} (ClosureOperator.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) (fun (_x : ClosureOperator.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) => (Set.{u2} E) -> (Set.{u2} E)) (ClosureOperator.hasCoeToFun.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) (convexHull.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) s) (convex_convexHull.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E), IsLeast.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (setOf.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (t : ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OrderHom.toFun.{u2, u2} (Set.{u2} E) (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (ClosureOperator.toOrderHom.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (convexHull.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) s) (convex_convexHull.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_hull_to_cone_is_least convexHull_toCone_isLeastₓ'. -/
 theorem convexHull_toCone_isLeast (s : Set E) :
     IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } ((convex_convexHull 𝕜 s).toCone _) :=
@@ -1140,10 +1086,7 @@ open Submodule
 variable (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 
 /- warning: riesz_extension.step -> RieszExtension.step is a dubious translation:
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(Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E 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Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) g))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) g x)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align riesz_extension.step RieszExtension.stepₓ'. -/
 /-- Induction step in M. Riesz extension theorem. Given a convex cone `s` in a vector space `E`,
 a partially defined linear map `f : f.domain → ℝ`, assume that `f` is nonnegative on `f.domain ∩ p`
@@ -1201,10 +1144,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
 #align riesz_extension.step RieszExtension.step
 
 /- warning: riesz_extension.exists_top -> RieszExtension.exists_top is a dubious translation:
-lean 3 declaration is
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E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E 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(SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_1)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) p))) x) y) s)) -> (Exists.{succ u1} (LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (fun (q : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal 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(AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) q))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) q x))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align riesz_extension.exists_top RieszExtension.exists_topₓ'. -/
 theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
@@ -1240,10 +1180,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
 end riesz_extension
 
 /- warning: riesz_extension -> riesz_extension is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align riesz_extension riesz_extensionₓ'. -/
 /-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
 and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
@@ -1263,10 +1200,7 @@ theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 #align riesz_extension riesz_extension
 
 /- warning: exists_extension_of_le_sublinear -> exists_extension_of_le_sublinear is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align exists_extension_of_le_sublinear exists_extension_of_le_sublinearₓ'. -/
 /-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
 defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit 915591b2bb3ea303648db07284a161a7f2a9e3d4
+! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.LinearAlgebra.LinearPmap
 /-!
 # Convex cones
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In a `𝕜`-module `E`, we define a convex cone as a set `s` such that `a • x + b • y ∈ s` whenever
 `x, y ∈ s` and `a, b > 0`. We prove that convex cones form a `complete_lattice`, and define their
 images (`convex_cone.map`) and preimages (`convex_cone.comap`) under linear maps.

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

@@ -375,7 +375,7 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => Exists.{0} (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) (fun (H : Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) => Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) y)))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.mem.{u1, u1} F (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => And (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x S) (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) y)))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.mem.{u1, u1} F (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => And (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x S) (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) y)))
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_map ConvexCone.mem_mapₓ'. -/
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
@@ -422,7 +422,7 @@ def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))))) (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (HasLiftT.mk.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (CoeTCₓ.coe.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (SetLike.Set.hasCoeT.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))))) S))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f) (SetLike.coe.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) S))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f) (SetLike.coe.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) S))
 Case conversion may be inaccurate. Consider using '#align convex_cone.coe_comap ConvexCone.coe_comapₓ'. -/
 @[simp]
 theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f : Set E) = f ⁻¹' S :=
@@ -455,7 +455,7 @@ theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCon
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) S)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) S)
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) x) (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) S)
 Case conversion may be inaccurate. Consider using '#align convex_cone.mem_comap ConvexCone.mem_comapₓ'. -/
 @[simp]
 theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈ S.comap f ↔ f x ∈ S :=
@@ -1240,7 +1240,7 @@ end riesz_extension
 lean 3 declaration is
   forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (s : ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (f : LinearPMap.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring))), (forall (x : coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) (LinearPMap.domain.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring)) f)), (Membership.Mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.hasMem.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.setLike.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) (LinearPMap.domain.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring)) f)) E (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) (LinearPMap.domain.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring)) f)) E (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) (LinearPMap.domain.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring)) f)) E (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) (LinearPMap.domain.{0, u1, 0} Real Real.ring E _inst_1 _inst_2 Real Real.addCommGroup (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.ring)) f)) E (coeSubtype.{succ u1} E (fun (x : E) => Membership.Mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.hasMem.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.ring) 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(AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) x s) -> (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (coeFn.{succ u1, succ u1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.addCommMonoid _inst_2 (Semiring.toModule.{0} Real Real.semiring)) (fun (_x : LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.addCommMonoid _inst_2 (Semiring.toModule.{0} Real Real.semiring)) => E -> Real) (LinearMap.hasCoeToFun.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.addCommMonoid _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x)))))
 but is expected to have type
-  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (s : ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (f : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))), (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x))) -> (forall (y : E), Exists.{succ u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) (fun (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) => Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (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_1)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) y) s)) -> (Exists.{succ u1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) (fun (g : LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x)) (forall (x : E), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) x s) -> (LE.le.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) x) Real.instLEReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) x) Real.instZeroReal)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x)))))
+  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (s : ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (f : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))), (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x))) -> (forall (y : E), Exists.{succ u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) (fun (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) => Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (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_1)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) y) s)) -> (Exists.{succ u1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) (fun (g : LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x)) (forall (x : E), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) x s) -> (LE.le.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) x) Real.instLEReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) x) Real.instZeroReal)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x)))))
 Case conversion may be inaccurate. Consider using '#align riesz_extension riesz_extensionₓ'. -/
 /-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
 and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
@@ -1263,7 +1263,7 @@ theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 lean 3 declaration is
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(AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))) c x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) c (N x)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (N (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toHasAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_1)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (N x) (N y))) -> (forall (x : coeSort.{succ u1, succ (succ u1)} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real 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 but is expected to have type
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(Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real 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Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x)) (forall (x : E), LE.le.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x) (N x))))
+  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (f : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (N : E -> Real), (forall (c : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) c) -> (forall (x : E), Eq.{1} Real (N (HSMul.hSMul.{0, u1, u1} Real E E (instHSMul.{0, u1} Real E (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) c x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) c (N x)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (N (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_1)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (N x) (N y))) -> (forall (x : 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(Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real 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u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x) (N x))))
 Case conversion may be inaccurate. Consider using '#align exists_extension_of_le_sublinear exists_extension_of_le_sublinearₓ'. -/
 /-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
 defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -77,6 +77,7 @@ section Definitions
 
 variable (𝕜 E) [OrderedSemiring 𝕜]
 
+#print ConvexCone /-
 /-- A convex cone is a subset `s` of a `𝕜`-module such that `a • x + b • y ∈ s` whenever `a, b > 0`
 and `x, y ∈ s`. -/
 structure ConvexCone [AddCommMonoid E] [SMul 𝕜 E] where
@@ -84,6 +85,7 @@ structure ConvexCone [AddCommMonoid E] [SMul 𝕜 E] where
   smul_mem' : ∀ ⦃c : 𝕜⦄, 0 < c → ∀ ⦃x : E⦄, x ∈ carrier → c • x ∈ carrier
   add_mem' : ∀ ⦃x⦄ (hx : x ∈ carrier) ⦃y⦄ (hy : y ∈ carrier), x + y ∈ carrier
 #align convex_cone ConvexCone
+-/
 
 end Definitions
 
@@ -103,26 +105,56 @@ instance : SetLike (ConvexCone 𝕜 E) E where
   coe := carrier
   coe_injective' S T h := by cases S <;> cases T <;> congr
 
+/- warning: convex_cone.coe_mk -> ConvexCone.coe_mk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {h₁ : forall {{c : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedSemiring.toPartialOrder.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) c) -> (forall {{x : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E _inst_3) c x) s))} {h₂ : forall {{x : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (forall {{y : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)))) x y) s))}, Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.mk.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s h₁ h₂)) s
+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_mk ConvexCone.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk {s : Set E} {h₁ h₂} : ↑(@mk 𝕜 _ _ _ _ s h₁ h₂) = s :=
   rfl
 #align convex_cone.coe_mk ConvexCone.coe_mk
 
+/- warning: convex_cone.mem_mk -> ConvexCone.mem_mk is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {h₁ : forall {{c : 𝕜}}, (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)))))))) c) -> (forall {{x : E}}, (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) (SMul.smul.{u1, u2} 𝕜 E _inst_3 c x) s))} {h₂ : forall {{x : E}}, (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (forall {{y : E}}, (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y 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 (AddCommMonoid.toAddMonoid.{u2} E _inst_2)))) x y) s))} {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x (ConvexCone.mk.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s h₁ h₂)) (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {s : Set.{u2} E} {h₁ : forall {{c : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedSemiring.toPartialOrder.{u1} 𝕜 _inst_1))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) c) -> (forall {{x : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E _inst_3) c x) s))} {h₂ : forall {{x : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (forall {{y : E}}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)))) x y) s))} {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x (ConvexCone.mk.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s h₁ h₂)) (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s)
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_mk ConvexCone.mem_mkₓ'. -/
 @[simp]
 theorem mem_mk {s : Set E} {h₁ h₂ x} : x ∈ @mk 𝕜 _ _ _ _ s h₁ h₂ ↔ x ∈ s :=
   Iff.rfl
 #align convex_cone.mem_mk ConvexCone.mem_mk
 
+/- warning: convex_cone.ext -> ConvexCone.ext is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x S) (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x T)) -> (Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) S T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Iff (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) x S) (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) x T)) -> (Eq.{succ u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) S T)
+Case conversion may be inaccurate. Consider using '#align convex_cone.ext ConvexCone.extₓ'. -/
 /-- Two `convex_cone`s are equal if they have the same elements. -/
 @[ext]
 theorem ext {S T : ConvexCone 𝕜 E} (h : ∀ x, x ∈ S ↔ x ∈ T) : S = T :=
   SetLike.ext h
 #align convex_cone.ext ConvexCone.ext
 
+/- warning: convex_cone.smul_mem -> ConvexCone.smul_mem is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) {c : 𝕜} {x : E}, (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))))) c) -> (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) x S) -> (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E _inst_3) c x) S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.smul_mem ConvexCone.smul_memₓ'. -/
 theorem smul_mem {c : 𝕜} {x : E} (hc : 0 < c) (hx : x ∈ S) : c • x ∈ S :=
   S.smul_mem' hc hx
 #align convex_cone.smul_mem ConvexCone.smul_mem
 
+/- warning: convex_cone.add_mem -> ConvexCone.add_mem is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) {{x : E}}, (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x S) -> (forall {{y : E}}, (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) y S) -> (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)))) x y) S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.add_mem ConvexCone.add_memₓ'. -/
 theorem add_mem ⦃x⦄ (hx : x ∈ S) ⦃y⦄ (hy : y ∈ S) : x + y ∈ S :=
   S.add_mem' hx hy
 #align convex_cone.add_mem ConvexCone.add_mem
@@ -134,11 +166,23 @@ instance : Inf (ConvexCone 𝕜 E) :=
     ⟨S ∩ T, fun c hc x hx => ⟨S.smul_mem hc hx.1, T.smul_mem hc hx.2⟩, fun x hx y hy =>
       ⟨S.add_mem hx.1 hy.1, T.add_mem hx.2 hy.2⟩⟩⟩
 
+/- warning: convex_cone.coe_inf -> ConvexCone.coe_inf is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_inf ConvexCone.coe_infₓ'. -/
 @[simp]
 theorem coe_inf : ((S ⊓ T : ConvexCone 𝕜 E) : Set E) = ↑S ∩ ↑T :=
   rfl
 #align convex_cone.coe_inf ConvexCone.coe_inf
 
+/- warning: convex_cone.mem_inf -> ConvexCone.mem_inf is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_inf ConvexCone.mem_infₓ'. -/
 theorem mem_inf {x} : x ∈ S ⊓ T ↔ x ∈ S ∧ x ∈ T :=
   Iff.rfl
 #align convex_cone.mem_inf ConvexCone.mem_inf
@@ -149,20 +193,44 @@ instance : InfSet (ConvexCone 𝕜 E) :=
       fun x hx y hy =>
       mem_biInter fun s hs => s.add_mem (mem_iInter₂.1 hx s hs) (mem_iInter₂.1 hy s hs)⟩⟩
 
+/- warning: convex_cone.coe_Inf -> ConvexCone.coe_sInf is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_Inf ConvexCone.coe_sInfₓ'. -/
 @[simp]
 theorem coe_sInf (S : Set (ConvexCone 𝕜 E)) : ↑(sInf S) = ⋂ s ∈ S, (s : Set E) :=
   rfl
 #align convex_cone.coe_Inf ConvexCone.coe_sInf
 
+/- warning: convex_cone.mem_Inf -> ConvexCone.mem_sInf is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_Inf ConvexCone.mem_sInfₓ'. -/
 theorem mem_sInf {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s :=
   mem_iInter₂
 #align convex_cone.mem_Inf ConvexCone.mem_sInf
 
+/- warning: convex_cone.coe_infi -> ConvexCone.coe_iInf is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_infi ConvexCone.coe_iInfₓ'. -/
 @[simp]
 theorem coe_iInf {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
   simp [iInf]
 #align convex_cone.coe_infi ConvexCone.coe_iInf
 
+/- warning: convex_cone.mem_infi -> ConvexCone.mem_iInf is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_infi ConvexCone.mem_iInfₓ'. -/
 theorem mem_iInf {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
   mem_iInter₂.trans <| by simp
 #align convex_cone.mem_infi ConvexCone.mem_iInf
@@ -172,10 +240,22 @@ variable (𝕜)
 instance : Bot (ConvexCone 𝕜 E) :=
   ⟨⟨∅, fun c hc x => False.elim, fun x => False.elim⟩⟩
 
+/- warning: convex_cone.mem_bot -> ConvexCone.mem_bot is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_bot ConvexCone.mem_botₓ'. -/
 theorem mem_bot (x : E) : (x ∈ (⊥ : ConvexCone 𝕜 E)) = False :=
   rfl
 #align convex_cone.mem_bot ConvexCone.mem_bot
 
+/- warning: convex_cone.coe_bot -> ConvexCone.coe_bot is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Bot.bot.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.hasBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E))
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+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_bot ConvexCone.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ↑(⊥ : ConvexCone 𝕜 E) = (∅ : Set E) :=
   rfl
@@ -184,10 +264,22 @@ theorem coe_bot : ↑(⊥ : ConvexCone 𝕜 E) = (∅ : Set E) :=
 instance : Top (ConvexCone 𝕜 E) :=
   ⟨⟨univ, fun c hc x hx => mem_univ _, fun x hx y hy => mem_univ _⟩⟩
 
+/- warning: convex_cone.mem_top -> ConvexCone.mem_top is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.hasTop.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) x (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.instTopConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_top ConvexCone.mem_topₓ'. -/
 theorem mem_top (x : E) : x ∈ (⊤ : ConvexCone 𝕜 E) :=
   mem_univ x
 #align convex_cone.mem_top ConvexCone.mem_top
 
+/- warning: convex_cone.coe_top -> ConvexCone.coe_top is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.hasTop.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Set.univ.{u2} E)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.instTopConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (Set.univ.{u2} E)
+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_top ConvexCone.coe_topₓ'. -/
 @[simp]
 theorem coe_top : ↑(⊤ : ConvexCone 𝕜 E) = (univ : Set E) :=
   rfl
@@ -225,6 +317,12 @@ section Module
 
 variable [Module 𝕜 E] (S : ConvexCone 𝕜 E)
 
+/- warning: convex_cone.convex -> ConvexCone.convex is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))), Convex.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))))) S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] (S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))), Convex.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))) (SetLike.coe.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.convex ConvexCone.convexₓ'. -/
 protected theorem convex : Convex 𝕜 (S : Set E) :=
   convex_iff_forall_pos.2 fun x hx y hy a b ha hb _ =>
     S.add_mem (S.smul_mem ha hx) (S.smul_mem hb hy)
@@ -246,6 +344,12 @@ section MulAction
 
 variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
 
+/- warning: convex_cone.smul_mem_iff -> ConvexCone.smul_mem_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_5 : MulAction.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))] (S : ConvexCone.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5)) {c : 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))))))))))) c) -> (forall {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5)) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5)) E (ConvexCone.setLike.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5))) (SMul.smul.{u1, u2} 𝕜 E (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5) c x) S) (Membership.Mem.{u2, u2} E (ConvexCone.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5)) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5)) E (ConvexCone.setLike.{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 (MulAction.toHasSmul.{u1, u2} 𝕜 E (Ring.toMonoid.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_5))) x S))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_5 : MulAction.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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)))))))] (S : ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) {c : 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))))))) c) -> (forall {x : E}, Iff (Membership.mem.{u1, u1} E (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) (SetLike.instMembership.{u1, u1} (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) E (ConvexCone.instSetLikeConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5))) (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) c x) S) (Membership.mem.{u1, u1} E (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) (SetLike.instMembership.{u1, u1} (ConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5)) E (ConvexCone.instSetLikeConvexCone.{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 (MulAction.toSMul.{u2, u1} 𝕜 E (MonoidWithZero.toMonoid.{u2} 𝕜 (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))))))) _inst_5))) x S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.smul_mem_iff ConvexCone.smul_mem_iffₓ'. -/
 theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
   ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
 #align convex_cone.smul_mem_iff ConvexCone.smul_mem_iff
@@ -256,6 +360,7 @@ section Module
 
 variable [Module 𝕜 E] [Module 𝕜 F] [Module 𝕜 G]
 
+#print ConvexCone.map /-
 /-- The image of a convex cone under a `𝕜`-linear map is a convex cone. -/
 def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
     where
@@ -264,22 +369,42 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F
   add_mem' := fun y₁ ⟨x₁, hx₁, hy₁⟩ y₂ ⟨x₂, hx₂, hy₂⟩ =>
     hy₁ ▸ hy₂ ▸ f.map_add x₁ x₂ ▸ mem_image_of_mem f (S.add_mem hx₁ hx₂)
 #align convex_cone.map ConvexCone.map
+-/
 
+/- warning: convex_cone.mem_map -> ConvexCone.mem_map is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => Exists.{0} (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) (fun (H : Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x S) => Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) y)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))} {y : F}, Iff (Membership.mem.{u1, u1} F (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) y (ConvexCone.map.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Exists.{succ u2} E (fun (x : E) => And (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x S) (Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) y)))
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_map ConvexCone.mem_mapₓ'. -/
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
   mem_image_iff_bex
 #align convex_cone.mem_map ConvexCone.mem_map
 
+/- warning: convex_cone.map_map -> ConvexCone.map_map is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u4} G] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] [_inst_7 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4] (g : LinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))), Eq.{succ u4} (ConvexCone.{u1, u4} 𝕜 G (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (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.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4 _inst_7))))) (ConvexCone.map.{u1, u3, u4} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g (ConvexCone.map.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (ConvexCone.map.{u1, u2, u4} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u1, u1, u1, u2, u3, u4} 𝕜 𝕜 𝕜 E F G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) g f) S)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u1}} {F : Type.{u3}} {G : Type.{u2}} [_inst_1 : LinearOrderedField.{u4} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u2} G] [_inst_5 : Module.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u4, u3} 𝕜 F (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_3] [_inst_7 : Module.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4] (g : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u4, u4, u1, u3} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u4, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u4, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (Module.toMulActionWithZero.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_5))))), Eq.{succ u2} (ConvexCone.{u4, u2} 𝕜 G (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜 G (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 G (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 G (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 _inst_7))))) (ConvexCone.map.{u4, u3, u2} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g (ConvexCone.map.{u4, u1, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (ConvexCone.map.{u4, u1, u2} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u4, u4, u4, u1, u3, u2} 𝕜 𝕜 𝕜 E F G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u4, u4} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))))) g f) S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.map_map ConvexCone.map_mapₓ'. -/
 theorem map_map (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) :
     (S.map f).map g = S.map (g.comp f) :=
   SetLike.coe_injective <| image_image g f S
 #align convex_cone.map_map ConvexCone.map_map
 
+/- warning: convex_cone.map_id -> ConvexCone.map_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{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)))) _inst_2] (S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))), Eq.{succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (ConvexCone.map.{u1, u2, u2} 𝕜 E E _inst_1 _inst_2 _inst_2 _inst_5 _inst_5 (LinearMap.id.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5) S) S
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : AddCommMonoid.{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))))) _inst_2] (S : ConvexCone.{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 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) _inst_2 _inst_5))))), Eq.{succ u1} (ConvexCone.{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 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) _inst_2 _inst_5))))) (ConvexCone.map.{u2, u1, u1} 𝕜 E E _inst_1 _inst_2 _inst_2 _inst_5 _inst_5 (LinearMap.id.{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))))) _inst_2 _inst_5) S) S
+Case conversion may be inaccurate. Consider using '#align convex_cone.map_id ConvexCone.map_idₓ'. -/
 @[simp]
 theorem map_id (S : ConvexCone 𝕜 E) : S.map LinearMap.id = S :=
   SetLike.coe_injective <| image_id _
 #align convex_cone.map_id ConvexCone.map_id
 
+#print ConvexCone.comap /-
 /-- The preimage of a convex cone under a `𝕜`-linear map is a convex cone. -/
 def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
     where
@@ -291,22 +416,47 @@ def comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : ConvexCone 𝕜 E
     rw [mem_preimage, f.map_add]
     exact S.add_mem hx hy
 #align convex_cone.comap ConvexCone.comap
+-/
 
+/- warning: convex_cone.coe_comap -> ConvexCone.coe_comap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))))) (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (HasLiftT.mk.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (CoeTCₓ.coe.{succ u3, succ u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (Set.{u3} F) (SetLike.Set.hasCoeT.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))))) S))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] (f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))), Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Set.preimage.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f) (SetLike.coe.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_comap ConvexCone.coe_comapₓ'. -/
 @[simp]
 theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f : Set E) = f ⁻¹' S :=
   rfl
 #align convex_cone.coe_comap ConvexCone.coe_comap
 
+/- warning: convex_cone.comap_id -> ConvexCone.comap_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{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)))) _inst_2] (S : ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))), Eq.{succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (ConvexCone.comap.{u1, u2, u2} 𝕜 E E _inst_1 _inst_2 _inst_2 _inst_5 _inst_5 (LinearMap.id.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5) S) S
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : AddCommMonoid.{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))))) _inst_2] (S : ConvexCone.{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 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) _inst_2 _inst_5))))), Eq.{succ u1} (ConvexCone.{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 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u2, u1, u1} 𝕜 E E _inst_1 _inst_2 _inst_2 _inst_5 _inst_5 (LinearMap.id.{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))))) _inst_2 _inst_5) S) S
+Case conversion may be inaccurate. Consider using '#align convex_cone.comap_id ConvexCone.comap_idₓ'. -/
 @[simp]
 theorem comap_id (S : ConvexCone 𝕜 E) : S.comap LinearMap.id = S :=
   SetLike.coe_injective preimage_id
 #align convex_cone.comap_id ConvexCone.comap_id
 
+/- warning: convex_cone.comap_comap -> ConvexCone.comap_comap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} {G : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u4} G] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] [_inst_7 : Module.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4] (g : LinearMap.{u1, u1, u3, u4} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u1, u4} 𝕜 G (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 G (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 G (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.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 G (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u4} G (AddMonoid.toAddZeroClass.{u4} G (AddCommMonoid.toAddMonoid.{u4} G _inst_4))) (Module.toMulActionWithZero.{u1, u4} 𝕜 G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_4 _inst_7))))), Eq.{succ u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f (ConvexCone.comap.{u1, u3, u4} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g S)) (ConvexCone.comap.{u1, u2, u4} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u1, u1, u1, u2, u3, u4} 𝕜 𝕜 𝕜 E F G (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) g f) S)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {E : Type.{u1}} {F : Type.{u3}} {G : Type.{u2}} [_inst_1 : LinearOrderedField.{u4} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : AddCommMonoid.{u3} F] [_inst_4 : AddCommMonoid.{u2} G] [_inst_5 : Module.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u4, u3} 𝕜 F (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_3] [_inst_7 : Module.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4] (g : LinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) F G _inst_3 _inst_4 _inst_6 _inst_7) (f : LinearMap.{u4, u4, u1, u3} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (S : ConvexCone.{u4, u2} 𝕜 G (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜 G (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 G (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 G (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} G (AddCommMonoid.toAddMonoid.{u2} G _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜 G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_4 _inst_7))))), Eq.{succ u1} (ConvexCone.{u4, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u4} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u4, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (LinearOrderedSemifield.toSemifield.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (Module.toMulActionWithZero.{u4, u1} 𝕜 E (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (ConvexCone.comap.{u4, u1, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f (ConvexCone.comap.{u4, u3, u2} 𝕜 F G _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 g S)) (ConvexCone.comap.{u4, u1, u2} 𝕜 E G _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 (LinearMap.comp.{u4, u4, u4, u1, u3, u2} 𝕜 𝕜 𝕜 E F G (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))))) (RingHomCompTriple.ids.{u4, u4} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (StrictOrderedSemiring.toSemiring.{u4} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u4} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u4} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u4} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u4} 𝕜 _inst_1)))))))) g f) S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.comap_comap ConvexCone.comap_comapₓ'. -/
 theorem comap_comap (g : F →ₗ[𝕜] G) (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 G) :
     (S.comap g).comap f = S.comap (g.comp f) :=
   SetLike.coe_injective <| preimage_comp.symm
 #align convex_cone.comap_comap ConvexCone.comap_comap
 
+/- warning: convex_cone.mem_comap -> ConvexCone.mem_comap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u3} F] [_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)))) _inst_2] [_inst_6 : Module.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5))))) E (ConvexCone.setLike.{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 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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 _inst_2))) (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 _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u1, u2, u3} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.Mem.{u3, u3} F (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) (SetLike.hasMem.{u3, u3} (ConvexCone.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6))))) F (ConvexCone.setLike.{u1, u3} 𝕜 F (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (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 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F _inst_3))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_3 _inst_6)))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))))) E F _inst_2 _inst_3 _inst_5 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1)))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (DivisionRing.toRing.{u1} 𝕜 (Field.toDivisionRing.{u1} 𝕜 (LinearOrderedField.toField.{u1} 𝕜 _inst_1))))))) f x) S)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : AddCommMonoid.{u1} F] [_inst_5 : Module.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2] [_inst_6 : Module.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3] {f : LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6} {S : ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))} {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5))))) E (ConvexCone.instSetLikeConvexCone.{u3, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_5)))))) x (ConvexCone.comap.{u3, u2, u1} 𝕜 E F _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 f S)) (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) x) (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6))))) F (ConvexCone.instSetLikeConvexCone.{u3, u1} 𝕜 F (OrderedCommSemiring.toOrderedSemiring.{u3} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 (SMulZeroClass.toSMul.{u3, u1} 𝕜 F (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜 F (CommMonoidWithZero.toZero.{u3} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜 (Semifield.toCommGroupWithZero.{u3} 𝕜 (LinearOrderedSemifield.toSemifield.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜 F (Semiring.toMonoidWithZero.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))) (AddMonoid.toZero.{u1} F (AddCommMonoid.toAddMonoid.{u1} F _inst_3)) (Module.toMulActionWithZero.{u3, u1} 𝕜 F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_3 _inst_6)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))))) E F _inst_2 _inst_3 _inst_5 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 E F (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1))))) _inst_2 _inst_3 _inst_5 _inst_6 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (StrictOrderedSemiring.toSemiring.{u3} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u3} 𝕜 _inst_1)))))))) f x) S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_comap ConvexCone.mem_comapₓ'. -/
 @[simp]
 theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈ S.comap f ↔ f x ∈ S :=
   Iff.rfl
@@ -320,6 +470,12 @@ section OrderedAddCommGroup
 
 variable [OrderedAddCommGroup E] [Module 𝕜 E]
 
+/- warning: convex_cone.to_ordered_smul -> ConvexCone.to_orderedSMul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] (S : ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))), (forall (x : E) (y : E), Iff (LE.le.{u2} E (Preorder.toHasLe.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) x y) (Membership.Mem.{u2, u2} E (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) y x) S)) -> (OrderedSMul.{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))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : 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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] (S : ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))), (forall (x : E) (y : E), Iff (LE.le.{u1} E (Preorder.toLE.{u1} E (PartialOrder.toPreorder.{u1} E (OrderedAddCommGroup.toPartialOrder.{u1} E _inst_2))) x y) (Membership.mem.{u1, u1} E (ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))))) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2))))) y x) S)) -> (OrderedSMul.{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))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (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)))))) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (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))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align convex_cone.to_ordered_smul ConvexCone.to_orderedSMulₓ'. -/
 /-- Constructs an ordered module given an `ordered_add_comm_group`, a cone, and a proof that
 the order relation is the one defined by the cone.
 -/
@@ -346,28 +502,56 @@ section AddCommMonoid
 
 variable [AddCommMonoid E] [SMul 𝕜 E] (S : ConvexCone 𝕜 E)
 
+#print ConvexCone.Pointed /-
 /-- A convex cone is pointed if it includes `0`. -/
 def Pointed (S : ConvexCone 𝕜 E) : Prop :=
   (0 : E) ∈ S
 #align convex_cone.pointed ConvexCone.Pointed
+-/
 
+#print ConvexCone.Blunt /-
 /-- A convex cone is blunt if it doesn't include `0`. -/
 def Blunt (S : ConvexCone 𝕜 E) : Prop :=
   (0 : E) ∉ S
 #align convex_cone.blunt ConvexCone.Blunt
+-/
 
+/- warning: convex_cone.pointed_iff_not_blunt -> ConvexCone.pointed_iff_not_blunt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Iff (ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Iff (ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.pointed_iff_not_blunt ConvexCone.pointed_iff_not_bluntₓ'. -/
 theorem pointed_iff_not_blunt (S : ConvexCone 𝕜 E) : S.Pointed ↔ ¬S.Blunt :=
   ⟨fun h₁ h₂ => h₂ h₁, Classical.not_not.mp⟩
 #align convex_cone.pointed_iff_not_blunt ConvexCone.pointed_iff_not_blunt
 
+/- warning: convex_cone.blunt_iff_not_pointed -> ConvexCone.blunt_iff_not_pointed is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Iff (ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Iff (ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.blunt_iff_not_pointed ConvexCone.blunt_iff_not_pointedₓ'. -/
 theorem blunt_iff_not_pointed (S : ConvexCone 𝕜 E) : S.Blunt ↔ ¬S.Pointed := by
   rw [pointed_iff_not_blunt, Classical.not_not]
 #align convex_cone.blunt_iff_not_pointed ConvexCone.blunt_iff_not_pointed
 
+/- warning: convex_cone.pointed.mono -> ConvexCone.Pointed.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, (LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) S T) -> (ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (LE.le.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.instCompleteLatticeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) S T) -> (ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+Case conversion may be inaccurate. Consider using '#align convex_cone.pointed.mono ConvexCone.Pointed.monoₓ'. -/
 theorem Pointed.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Pointed → T.Pointed :=
   @h _
 #align convex_cone.pointed.mono ConvexCone.Pointed.mono
 
+/- warning: convex_cone.blunt.anti -> ConvexCone.Blunt.anti is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, (LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) T S) -> (ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {T : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (LE.le.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (ConvexCone.instCompleteLatticeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) T S) -> (ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+Case conversion may be inaccurate. Consider using '#align convex_cone.blunt.anti ConvexCone.Blunt.antiₓ'. -/
 theorem Blunt.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Blunt → T.Blunt :=
   (· ∘ @h)
 #align convex_cone.blunt.anti ConvexCone.Blunt.anti
@@ -378,16 +562,26 @@ section AddCommGroup
 
 variable [AddCommGroup E] [SMul 𝕜 E] (S : ConvexCone 𝕜 E)
 
+#print ConvexCone.Flat /-
 /-- A convex cone is flat if it contains some nonzero vector `x` and its opposite `-x`. -/
 def Flat : Prop :=
   ∃ x ∈ S, x ≠ (0 : E) ∧ -x ∈ S
 #align convex_cone.flat ConvexCone.Flat
+-/
 
+#print ConvexCone.Salient /-
 /-- A convex cone is salient if it doesn't include `x` and `-x` for any nonzero `x`. -/
 def Salient : Prop :=
   ∀ x ∈ S, x ≠ (0 : E) → -x ∉ S
 #align convex_cone.salient ConvexCone.Salient
+-/
 
+/- warning: convex_cone.salient_iff_not_flat -> ConvexCone.salient_iff_not_flat is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (S : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3), Iff (ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Flat.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (S : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3), Iff (ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Not (ConvexCone.Flat.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S))
+Case conversion may be inaccurate. Consider using '#align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flatₓ'. -/
 theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
   by
   constructor
@@ -399,14 +593,32 @@ theorem salient_iff_not_flat (S : ConvexCone 𝕜 E) : S.Salient ↔ ¬S.Flat :=
     exact h
 #align convex_cone.salient_iff_not_flat ConvexCone.salient_iff_not_flat
 
+/- warning: convex_cone.flat.mono -> ConvexCone.Flat.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3} {T : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) S T) -> (ConvexCone.Flat.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Flat.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3} {T : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (ConvexCone.instCompleteLatticeConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) S T) -> (ConvexCone.Flat.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Flat.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+Case conversion may be inaccurate. Consider using '#align convex_cone.flat.mono ConvexCone.Flat.monoₓ'. -/
 theorem Flat.mono {S T : ConvexCone 𝕜 E} (h : S ≤ T) : S.Flat → T.Flat
   | ⟨x, hxS, hx, hnxS⟩ => ⟨x, h hxS, hx, h hnxS⟩
 #align convex_cone.flat.mono ConvexCone.Flat.mono
 
+/- warning: convex_cone.salient.anti -> ConvexCone.Salient.anti is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3} {T : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) T S) -> (ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3} {T : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3) (ConvexCone.instCompleteLatticeConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) T S) -> (ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)
+Case conversion may be inaccurate. Consider using '#align convex_cone.salient.anti ConvexCone.Salient.antiₓ'. -/
 theorem Salient.anti {S T : ConvexCone 𝕜 E} (h : T ≤ S) : S.Salient → T.Salient :=
   fun hS x hxT hx hnT => hS x (h hxT) hx (h hnT)
 #align convex_cone.salient.anti ConvexCone.Salient.anti
 
+/- warning: convex_cone.flat.pointed -> ConvexCone.Flat.pointed is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3}, (ConvexCone.Flat.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3}, (ConvexCone.Flat.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) -> (ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3 S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.flat.pointed ConvexCone.Flat.pointedₓ'. -/
 /-- A flat cone is always pointed (contains `0`). -/
 theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   by
@@ -415,6 +627,12 @@ theorem Flat.pointed {S : ConvexCone 𝕜 E} (hS : S.Flat) : S.Pointed :=
   exact add_mem S hx hxneg
 #align convex_cone.flat.pointed ConvexCone.Flat.pointed
 
+/- warning: convex_cone.blunt.salient -> ConvexCone.Blunt.salient is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {S : ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3}, (ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 S) -> (ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {S : ConvexCone.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3}, (ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3 S) -> (ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S)
+Case conversion may be inaccurate. Consider using '#align convex_cone.blunt.salient ConvexCone.Blunt.salientₓ'. -/
 /-- A blunt cone (one not containing `0`) is always salient. -/
 theorem Blunt.salient {S : ConvexCone 𝕜 E} : S.Blunt → S.Salient :=
   by
@@ -422,6 +640,7 @@ theorem Blunt.salient {S : ConvexCone 𝕜 E} : S.Blunt → S.Salient :=
   exact mt flat.pointed
 #align convex_cone.blunt.salient ConvexCone.Blunt.salient
 
+#print ConvexCone.toPreorder /-
 /-- A pointed convex cone defines a preorder. -/
 def toPreorder (h₁ : S.Pointed) : Preorder E
     where
@@ -429,7 +648,9 @@ def toPreorder (h₁ : S.Pointed) : Preorder E
   le_refl x := by change x - x ∈ S <;> rw [sub_self x] <;> exact h₁
   le_trans x y z xy zy := by simpa using add_mem S zy xy
 #align convex_cone.to_preorder ConvexCone.toPreorder
+-/
 
+#print ConvexCone.toPartialOrder /-
 /-- A pointed and salient cone defines a partial order. -/
 def toPartialOrder (h₁ : S.Pointed) (h₂ : S.Salient) : PartialOrder E :=
   { toPreorder S h₁ with
@@ -441,7 +662,9 @@ def toPartialOrder (h₁ : S.Pointed) (h₂ : S.Salient) : PartialOrder E :=
       rw [neg_sub b a] at H
       exact H ba }
 #align convex_cone.to_partial_order ConvexCone.toPartialOrder
+-/
 
+#print ConvexCone.toOrderedAddCommGroup /-
 /-- A pointed and salient cone defines an `ordered_add_comm_group`. -/
 def toOrderedAddCommGroup (h₁ : S.Pointed) (h₂ : S.Salient) : OrderedAddCommGroup E :=
   { toPartialOrder S h₁ h₂, show AddCommGroup E by infer_instance with
@@ -451,6 +674,7 @@ def toOrderedAddCommGroup (h₁ : S.Pointed) (h₂ : S.Salient) : OrderedAddComm
       rw [add_sub_add_left_eq_sub]
       exact hab }
 #align convex_cone.to_ordered_add_comm_group ConvexCone.toOrderedAddCommGroup
+-/
 
 end AddCommGroup
 
@@ -461,16 +685,30 @@ variable [AddCommMonoid E] [Module 𝕜 E]
 instance : Zero (ConvexCone 𝕜 E) :=
   ⟨⟨0, fun _ _ => by simp, fun _ => by simp⟩⟩
 
+/- warning: convex_cone.mem_zero -> ConvexCone.mem_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (x : E), Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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 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_inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) x (OfNat.ofNat.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 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+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (x : E), Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) x (OfNat.ofNat.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (Zero.toOfNat0.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instZeroConvexConeToSMulToZeroToAddMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToSMulWithZeroToMulActionWithZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Eq.{succ u2} E x (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_zero ConvexCone.mem_zeroₓ'. -/
 @[simp]
 theorem mem_zero (x : E) : x ∈ (0 : ConvexCone 𝕜 E) ↔ x = 0 :=
   Iff.rfl
 #align convex_cone.mem_zero ConvexCone.mem_zero
 
+#print ConvexCone.coe_zero /-
 @[simp]
 theorem coe_zero : ((0 : ConvexCone 𝕜 E) : Set E) = 0 :=
   rfl
 #align convex_cone.coe_zero ConvexCone.coe_zero
+-/
 
+/- warning: convex_cone.pointed_zero -> ConvexCone.pointed_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2], ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (OfNat.mk.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (Zero.zero.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2], ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))) (OfNat.ofNat.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (Zero.toOfNat0.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instZeroConvexConeToSMulToZeroToAddMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToSMulWithZeroToMulActionWithZero.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align convex_cone.pointed_zero ConvexCone.pointed_zeroₓ'. -/
 theorem pointed_zero : (0 : ConvexCone 𝕜 E).Pointed := by rw [pointed, mem_zero]
 #align convex_cone.pointed_zero ConvexCone.pointed_zero
 
@@ -486,6 +724,12 @@ instance : Add (ConvexCone 𝕜 E) :=
         use x₁ + y₁, x₂ + y₂, K₁.add_mem hx₁ hy₁, K₂.add_mem hx₂ hy₂
         abel }⟩
 
+/- warning: convex_cone.mem_add -> ConvexCone.mem_add is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] {K₁ : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))} {K₂ : ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))} {a : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) a (HAdd.hAdd.{u2, u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (instHAdd.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) K₁ K₂)) (Exists.{succ u2} E (fun (x : E) => Exists.{succ u2} E (fun (y : E) => And (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) x K₁) (And (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) y K₂) (Eq.{succ 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_2)))) x y) a)))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] {K₁ : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))} {K₂ : ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))} {a : E}, Iff (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))))) a (HAdd.hAdd.{u1, u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (instHAdd.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) K₁ K₂)) (Exists.{succ u1} E (fun (x : E) => Exists.{succ u1} E (fun (y : E) => And (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))))) x K₁) (And (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))))) y K₂) (Eq.{succ 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_2)))) x y) a)))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_add ConvexCone.mem_addₓ'. -/
 @[simp]
 theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
     a ∈ K₁ + K₂ ↔ ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = a :=
@@ -524,6 +768,7 @@ section AddCommMonoid
 
 variable [AddCommMonoid E] [Module 𝕜 E]
 
+#print Submodule.toConvexCone /-
 /-- Every submodule is trivially a convex cone. -/
 def toConvexCone (S : Submodule 𝕜 E) : ConvexCone 𝕜 E
     where
@@ -531,38 +776,81 @@ def toConvexCone (S : Submodule 𝕜 E) : ConvexCone 𝕜 E
   smul_mem' c hc x hx := S.smul_mem c hx
   add_mem' x hx y hy := S.add_mem hx hy
 #align submodule.to_convex_cone Submodule.toConvexCone
+-/
 
+/- warning: submodule.coe_to_convex_cone -> Submodule.coe_toConvexCone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (S : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3), Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E 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(AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S)) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) E (Submodule.setLike.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))) S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] (S : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3), Eq.{succ u1} (Set.{u1} E) (SetLike.coe.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S)) (SetLike.coe.{u1, u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) E (Submodule.setLike.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) S)
+Case conversion may be inaccurate. Consider using '#align submodule.coe_to_convex_cone Submodule.coe_toConvexConeₓ'. -/
 @[simp]
 theorem coe_toConvexCone (S : Submodule 𝕜 E) : ↑S.toConvexCone = (S : Set E) :=
   rfl
 #align submodule.coe_to_convex_cone Submodule.coe_toConvexCone
 
+/- warning: submodule.mem_to_convex_cone -> Submodule.mem_toConvexCone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] {x : E} {S : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))) x (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S)) (Membership.Mem.{u2, u2} E (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) E (Submodule.setLike.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)) x S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] {x : E} {S : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3}, Iff (Membership.mem.{u1, u1} E (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))))) x (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S)) (Membership.mem.{u1, u1} E (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) E (Submodule.setLike.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)) x S)
+Case conversion may be inaccurate. Consider using '#align submodule.mem_to_convex_cone Submodule.mem_toConvexConeₓ'. -/
 @[simp]
 theorem mem_toConvexCone {x : E} {S : Submodule 𝕜 E} : x ∈ S.toConvexCone ↔ x ∈ S :=
   Iff.rfl
 #align submodule.mem_to_convex_cone Submodule.mem_toConvexCone
 
+/- warning: submodule.to_convex_cone_le_iff -> Submodule.toConvexCone_le_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] {S : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3} {T : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3}, Iff (LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T)) (LE.le.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Preorder.toHasLe.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (SetLike.partialOrder.{u2, u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) E (Submodule.setLike.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))) S T)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] {S : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3} {T : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3}, Iff (LE.le.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (Preorder.toLE.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (PartialOrder.toPreorder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))))))) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T)) (LE.le.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (Preorder.toLE.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.completeLattice.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) S T)
+Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iffₓ'. -/
 @[simp]
 theorem toConvexCone_le_iff {S T : Submodule 𝕜 E} : S.toConvexCone ≤ T.toConvexCone ↔ S ≤ T :=
   Iff.rfl
 #align submodule.to_convex_cone_le_iff Submodule.toConvexCone_le_iff
 
+/- warning: submodule.to_convex_cone_bot -> Submodule.toConvexCone_bot is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2], Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.hasBot.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))) (OfNat.ofNat.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (OfNat.mk.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (Zero.zero.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2], Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))) (OfNat.ofNat.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) 0 (Zero.toOfNat0.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instZeroConvexConeToSMulToZeroToAddMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToSMulWithZeroToMulActionWithZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))
+Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_bot Submodule.toConvexCone_botₓ'. -/
 @[simp]
 theorem toConvexCone_bot : (⊥ : Submodule 𝕜 E).toConvexCone = 0 :=
   rfl
 #align submodule.to_convex_cone_bot Submodule.toConvexCone_bot
 
+/- warning: submodule.to_convex_cone_top -> Submodule.toConvexCone_top is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2], Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Top.top.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.hasTop.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))) (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.hasTop.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2], Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Top.top.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.instTopSubmodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))) (Top.top.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instTopConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2)) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))))
+Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_top Submodule.toConvexCone_topₓ'. -/
 @[simp]
 theorem toConvexCone_top : (⊤ : Submodule 𝕜 E).toConvexCone = ⊤ :=
   rfl
 #align submodule.to_convex_cone_top Submodule.toConvexCone_top
 
+/- warning: submodule.to_convex_cone_inf -> Submodule.toConvexCone_inf is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (S : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (T : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3), Eq.{succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Inf.inf.{u2} (Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.hasInf.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3) S T)) (Inf.inf.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 T))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] (S : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (T : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3), Eq.{succ u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Inf.inf.{u1} (Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) (Submodule.instInfSubmodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3) S T)) (Inf.inf.{u1} (ConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (ConvexCone.instInfConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3))))) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 T))
+Case conversion may be inaccurate. Consider using '#align submodule.to_convex_cone_inf Submodule.toConvexCone_infₓ'. -/
 @[simp]
 theorem toConvexCone_inf (S T : Submodule 𝕜 E) :
     (S ⊓ T).toConvexCone = S.toConvexCone ⊓ T.toConvexCone :=
   rfl
 #align submodule.to_convex_cone_inf Submodule.toConvexCone_inf
 
+/- warning: submodule.pointed_to_convex_cone -> Submodule.pointed_toConvexCone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : AddCommMonoid.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2] (S : Submodule.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3), ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E _inst_2))) (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_2))) (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_2))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) _inst_2 _inst_3)))) (Submodule.toConvexCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 S)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : AddCommMonoid.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2] (S : Submodule.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3), ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E _inst_2)) (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_2)) (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_2)) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) _inst_2 _inst_3)))) (Submodule.toConvexCone.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 S)
+Case conversion may be inaccurate. Consider using '#align submodule.pointed_to_convex_cone Submodule.pointed_toConvexConeₓ'. -/
 @[simp]
 theorem pointed_toConvexCone (S : Submodule 𝕜 E) : S.toConvexCone.Pointed :=
   S.zero_mem
@@ -583,6 +871,12 @@ section PositiveCone
 
 variable (𝕜 E) [OrderedSemiring 𝕜] [OrderedAddCommGroup E] [Module 𝕜 E] [OrderedSMul 𝕜 E]
 
+/- warning: convex_cone.positive -> ConvexCone.positive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.positive ConvexCone.positiveₓ'. -/
 /-- The positive cone is the convex cone formed by the set of nonnegative elements in an ordered
 module.
 -/
@@ -592,16 +886,34 @@ def positive : ConvexCone 𝕜 E where
   add_mem' x (hx : _ ≤ _) y (hy : _ ≤ _) := add_nonneg hx hy
 #align convex_cone.positive ConvexCone.positive
 
+/- warning: convex_cone.mem_positive -> ConvexCone.mem_positive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LE.le.{u2} E (Preorder.toHasLe.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) x)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LE.le.{u2} E (Preorder.toLE.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))) x)
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_positive ConvexCone.mem_positiveₓ'. -/
 @[simp]
 theorem mem_positive {x : E} : x ∈ positive 𝕜 E ↔ 0 ≤ x :=
   Iff.rfl
 #align convex_cone.mem_positive ConvexCone.mem_positive
 
+/- warning: convex_cone.coe_positive -> ConvexCone.coe_positive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ici.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ici.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_positive ConvexCone.coe_positiveₓ'. -/
 @[simp]
 theorem coe_positive : ↑(positive 𝕜 E) = Set.Ici (0 : E) :=
   rfl
 #align convex_cone.coe_positive ConvexCone.coe_positive
 
+/- warning: convex_cone.salient_positive -> ConvexCone.salient_positive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) (E : Type.{u1}) [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))], ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))) (ConvexCone.positive.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align convex_cone.salient_positive ConvexCone.salient_positiveₓ'. -/
 /-- The positive cone of an ordered module is always salient. -/
 theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
   lt_irrefl (0 : E)
@@ -612,11 +924,23 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
       )
 #align convex_cone.salient_positive ConvexCone.salient_positive
 
+/- warning: convex_cone.pointed_positive -> ConvexCone.pointed_positive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.Pointed.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) (E : Type.{u1}) [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))], ConvexCone.Pointed.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))) (ConvexCone.positive.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align convex_cone.pointed_positive ConvexCone.pointed_positiveₓ'. -/
 /-- The positive cone of an ordered module is always pointed. -/
 theorem pointed_positive : Pointed (positive 𝕜 E) :=
   le_refl 0
 #align convex_cone.pointed_positive ConvexCone.pointed_positive
 
+/- warning: convex_cone.strictly_positive -> ConvexCone.strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.strictly_positive ConvexCone.strictlyPositiveₓ'. -/
 /-- The cone of strictly positive elements.
 
 Note that this naming diverges from the mathlib convention of `pos` and `nonneg` due to "positive
@@ -628,24 +952,54 @@ def strictlyPositive : ConvexCone 𝕜 E
   add_mem' x hx y hy := add_pos hx hy
 #align convex_cone.strictly_positive ConvexCone.strictlyPositive
 
+/- warning: convex_cone.mem_strictly_positive -> ConvexCone.mem_strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LT.lt.{u2} E (Preorder.toHasLt.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) x)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))] {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3)))))) x (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (LT.lt.{u2} E (Preorder.toLT.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2))) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))) x)
+Case conversion may be inaccurate. Consider using '#align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositiveₓ'. -/
 @[simp]
 theorem mem_strictlyPositive {x : E} : x ∈ strictlyPositive 𝕜 E ↔ 0 < x :=
   Iff.rfl
 #align convex_cone.mem_strictly_positive ConvexCone.mem_strictlyPositive
 
+/- warning: convex_cone.coe_strictly_positive -> ConvexCone.coe_strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, 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(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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) 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(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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ioi.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], Eq.{succ u2} (Set.{u2} E) (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)) (Set.Ioi.{u2} E (PartialOrder.toPreorder.{u2} E (OrderedAddCommGroup.toPartialOrder.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositiveₓ'. -/
 @[simp]
 theorem coe_strictlyPositive : ↑(strictlyPositive 𝕜 E) = Set.Ioi (0 : E) :=
   rfl
 #align convex_cone.coe_strictly_positive ConvexCone.coe_strictlyPositive
 
+/- warning: convex_cone.positive_le_strictly_positive -> ConvexCone.positive_le_strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (Preorder.toHasLe.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) (SetLike.partialOrder.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))))) E (ConvexCone.setLike.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))))))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (AddMonoid.toZero.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))], LE.le.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (Preorder.toLE.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) _inst_3))))))))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4) (ConvexCone.positive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositiveₓ'. -/
 theorem positive_le_strictlyPositive : strictlyPositive 𝕜 E ≤ positive 𝕜 E := fun x => le_of_lt
 #align convex_cone.positive_le_strictly_positive ConvexCone.positive_le_strictlyPositive
 
+/- warning: convex_cone.salient_strictly_positive -> ConvexCone.salient_strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.Salient.{u1, u2} 𝕜 E _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) (E : Type.{u1}) [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))], ConvexCone.Salient.{u2, u1} 𝕜 E _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))) (ConvexCone.strictlyPositive.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align convex_cone.salient_strictly_positive ConvexCone.salient_strictlyPositiveₓ'. -/
 /-- The strictly positive cone of an ordered module is always salient. -/
 theorem salient_strictlyPositive : Salient (strictlyPositive 𝕜 E) :=
   (salient_positive 𝕜 E).anti <| positive_le_strictlyPositive 𝕜 E
 #align convex_cone.salient_strictly_positive ConvexCone.salient_strictlyPositive
 
+/- warning: convex_cone.blunt_strictly_positive -> ConvexCone.blunt_strictlyPositive is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : OrderedAddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)) (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 (OrderedAddCommMonoid.toAddCommMonoid.{u2} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u2} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3))], ConvexCone.Blunt.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} 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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1) (AddCommGroup.toAddCommMonoid.{u2} E (OrderedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) _inst_3)))) (ConvexCone.strictlyPositive.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+but is expected to have type
+  forall (𝕜 : Type.{u2}) (E : Type.{u1}) [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : OrderedAddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1)) (AddMonoid.toZero.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (OrderedAddCommMonoid.toAddCommMonoid.{u1} E (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3))], ConvexCone.Blunt.{u2, u1} 𝕜 E _inst_1 (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} 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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (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 (OrderedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} E (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} E _inst_2)) _inst_3)))) (ConvexCone.strictlyPositive.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align convex_cone.blunt_strictly_positive ConvexCone.blunt_strictlyPositiveₓ'. -/
 /-- The strictly positive cone of an ordered module is always blunt. -/
 theorem blunt_strictlyPositive : Blunt (strictlyPositive 𝕜 E) :=
   lt_irrefl 0
@@ -664,6 +1018,7 @@ variable [LinearOrderedField 𝕜] [AddCommGroup E] [Module 𝕜 E]
 
 namespace Convex
 
+#print Convex.toCone /-
 /-- The set of vectors proportional to those in a convex set forms a convex cone. -/
 def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
   by
@@ -675,13 +1030,26 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E :=
     refine' ⟨_, this, _, convex_iff_div.1 hs hx hy cx_pos.le cy_pos.le this, _⟩
     simp only [smul_add, smul_smul, mul_div_assoc', mul_div_cancel_left _ this.ne']
 #align convex.to_cone Convex.toCone
+-/
 
 variable {s : Set E} (hs : Convex 𝕜 s) {x : E}
 
+/- warning: convex.mem_to_cone -> Convex.mem_toCone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : 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_2)] {s : Set.{u2} E} (hs : Convex.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))) s) {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (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))))))))))) c) (Exists.{succ u2} E (fun (y : E) => Exists.{0} (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) (fun (H : Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) => Eq.{succ 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))) c y) x)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s) {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))))) c) (Exists.{succ u2} E (fun (y : E) => And (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) (Eq.{succ u2} E (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c y) x)))))
+Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone Convex.mem_toConeₓ'. -/
 theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s, c • y = x := by
   simp only [to_cone, ConvexCone.mem_mk, mem_Union, mem_smul_set, eq_comm, exists_prop]
 #align convex.mem_to_cone Convex.mem_toCone
 
+/- warning: convex.mem_to_cone' -> Convex.mem_to_cone' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : 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_2)] {s : Set.{u2} E} (hs : Convex.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))) s) {x : E}, Iff (Membership.Mem.{u2, u2} E (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (SetLike.hasMem.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (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))))))))))) c) (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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))) c x) s)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s) {x : E}, Iff (Membership.mem.{u2, u2} E (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SetLike.instMembership.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)) (Exists.{succ u1} 𝕜 (fun (c : 𝕜) => And (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedRing.toPartialOrder.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))))) c) (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) c x) s)))
+Case conversion may be inaccurate. Consider using '#align convex.mem_to_cone' Convex.mem_to_cone'ₓ'. -/
 theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s :=
   by
   refine' hs.mem_to_cone.trans ⟨_, _⟩
@@ -691,10 +1059,18 @@ theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈
     exact ⟨c⁻¹, inv_pos.2 hc, _, hcx, by rw [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
 #align convex.mem_to_cone' Convex.mem_to_cone'
 
+#print Convex.subset_toCone /-
 theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
   hs.mem_to_cone'.2 ⟨1, zero_lt_one, by rwa [one_smul]⟩
 #align convex.subset_to_cone Convex.subset_toCone
+-/
 
+/- warning: convex.to_cone_is_least -> Convex.toCone_isLeast is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : 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_2)] {s : Set.{u2} E} (hs : Convex.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 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(StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedRing.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedRing.toStrictOrderedRing.{u1} 𝕜 (LinearOrderedCommRing.toLinearOrderedRing.{u1} 𝕜 (LinearOrderedField.toLinearOrderedCommRing.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Convex.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) s), IsLeast.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (setOf.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (t : ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 s hs)
+Case conversion may be inaccurate. Consider using '#align convex.to_cone_is_least Convex.toCone_isLeastₓ'. -/
 /-- `hs.to_cone s` is the least cone that includes `s`. -/
 theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone s) :=
   by
@@ -703,12 +1079,20 @@ theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone
   exact t.smul_mem hc (ht hy)
 #align convex.to_cone_is_least Convex.toCone_isLeast
 
+#print Convex.toCone_eq_sInf /-
 theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
   hs.toCone_isLeast.IsGLB.sInf_eq.symm
 #align convex.to_cone_eq_Inf Convex.toCone_eq_sInf
+-/
 
 end Convex
 
+/- warning: convex_hull_to_cone_is_least -> convexHull_toCone_isLeast is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : 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_2)] (s : Set.{u2} E), IsLeast.{u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E 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E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))))) (setOf.{u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (fun (t : ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (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_2) _inst_3))))) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) (Set.{u2} E) (SetLike.Set.hasCoeT.{u2, u2} (ConvexCone.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3))))) E (ConvexCone.setLike.{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))))) (AddCommGroup.toAddCommMonoid.{u2} 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_2)))) (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_2)))) (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_2)))) (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_2) _inst_3)))))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (coeFn.{succ u2, succ u2} (ClosureOperator.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) (fun (_x : ClosureOperator.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) => (Set.{u2} E) -> (Set.{u2} E)) (ClosureOperator.hasCoeToFun.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (CompleteSemilatticeInf.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.toCompleteSemilatticeInf.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E)))))))) (convexHull.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3) s) (convex_convexHull.{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))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E), IsLeast.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (ConvexCone.instCompleteLatticeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (setOf.{u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (t : ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s (SetLike.coe.{u2, u2} (ConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (ConvexCone.instSetLikeConvexCone.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) t))) (Convex.toCone.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OrderHom.toFun.{u2, u2} (Set.{u2} E) (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (ClosureOperator.toOrderHom.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} E) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (convexHull.{u1, u2} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)) s) (convex_convexHull.{u2, u1} 𝕜 E (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 (LinearOrderedField.toLinearOrderedSemifield.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3 s))
+Case conversion may be inaccurate. Consider using '#align convex_hull_to_cone_is_least convexHull_toCone_isLeastₓ'. -/
 theorem convexHull_toCone_isLeast (s : Set E) :
     IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } ((convex_convexHull 𝕜 s).toCone _) :=
   by
@@ -717,10 +1101,12 @@ theorem convexHull_toCone_isLeast (s : Set E) :
   exact ⟨fun h => convexHull_min h t.convex, (subset_convexHull 𝕜 s).trans⟩
 #align convex_hull_to_cone_is_least convexHull_toCone_isLeast
 
+#print convexHull_toCone_eq_sInf /-
 theorem convexHull_toCone_eq_sInf (s : Set E) :
     (convex_convexHull 𝕜 s).toCone _ = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
   Eq.symm <| IsGLB.sInf_eq <| IsLeast.isGLB <| convexHull_toCone_isLeast s
 #align convex_hull_to_cone_eq_Inf convexHull_toCone_eq_sInf
+-/
 
 end ConeFromConvex
 
@@ -750,6 +1136,12 @@ open Submodule
 
 variable (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
 
+/- warning: riesz_extension.step -> RieszExtension.step is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (s : ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toHasSmul.{0, u1} Real E (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (SMulWithZero.toSmulZeroClass.{0, u1} Real E (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real Real.semiring)))) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E (Semiring.toMonoidWithZero.{0} Real Real.semiring) (AddZeroClass.toHasZero.{u1} E (AddMonoid.toAddZeroClass.{u1} E (AddCommMonoid.toAddMonoid.{u1} E 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align riesz_extension.step RieszExtension.stepₓ'. -/
 /-- Induction step in M. Riesz extension theorem. Given a convex cone `s` in a vector space `E`,
 a partially defined linear map `f : f.domain → ℝ`, assume that `f` is nonnegative on `f.domain ∩ p`
 and `p + s = E`. If `f` is not defined on the whole `E`, then we can extend it to a larger
@@ -805,6 +1197,12 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
         one_mul] at this
 #align riesz_extension.step RieszExtension.step
 
+/- warning: riesz_extension.exists_top -> RieszExtension.exists_top is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) q))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) q x))))))
+Case conversion may be inaccurate. Consider using '#align riesz_extension.exists_top RieszExtension.exists_topₓ'. -/
 theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x :=
@@ -838,6 +1236,12 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
 
 end riesz_extension
 
+/- warning: riesz_extension -> riesz_extension is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (s : ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (f : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))), (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) E (ConvexCone.instSetLikeConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x))) -> (forall (y : E), Exists.{succ u1} (Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) (fun (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) => Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) (SetLike.instMembership.{u1, u1} (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)))))) (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_1)))))) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x) y) s)) -> (Exists.{succ u1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) (fun (g : LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x)) (forall (x : E), (Membership.mem.{u1, u1} E (ConvexCone.{0, u1} Real E Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x)))))
+Case conversion may be inaccurate. Consider using '#align riesz_extension riesz_extensionₓ'. -/
 /-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
 and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
 there exists a globally defined linear function `g : E → ℝ` that agrees with `f` on `p`,
@@ -855,6 +1259,12 @@ theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
   · exact fun x hx => hgs ⟨x, _⟩ hx
 #align riesz_extension riesz_extension
 
+/- warning: exists_extension_of_le_sublinear -> exists_extension_of_le_sublinear is a dubious translation:
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Real.addCommMonoid _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x) (N x))))
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : AddCommGroup.{u1} E] [_inst_2 : Module.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1)] (f : LinearPMap.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal))) (N : E -> Real), (forall (c : Real), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) c) -> (forall (x : E), Eq.{1} Real (N (HSMul.hSMul.{0, u1, u1} Real E E (instHSMul.{0, u1} Real E (SMulZeroClass.toSMul.{0, u1} Real E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real E Real.instZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real E Real.instMonoidWithZeroReal (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real E Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2))))) c x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) c (N x)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (N (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_1)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (N x) (N y))) -> (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), LE.le.{0} Real Real.instLEReal (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x) (N (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x))) -> (Exists.{succ u1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) (fun (g : LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) => And (forall (x : Subtype.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (SetLike.instMembership.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2)) x (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))), Eq.{1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g (Subtype.val.{succ u1} E (fun (x : E) => Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x (SetLike.coe.{u1, u1} (Submodule.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) E (Submodule.setLike.{0, u1} Real E (Ring.toSemiring.{0} Real Real.instRingReal) (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) _inst_2) (LinearPMap.domain.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f))) x)) (LinearPMap.toFun'.{0, u1, 0} Real Real.instRingReal E _inst_1 _inst_2 Real Real.instAddCommGroupReal (Semiring.toModule.{0} Real (Ring.toSemiring.{0} Real Real.instRingReal)) f x)) (forall (x : E), LE.le.{0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (LinearMap.{0, 0, u1, 0} Real Real Real.semiring Real.semiring (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) E Real (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => Real) _x) (LinearMap.instFunLikeLinearMap.{0, 0, u1, 0} Real Real E Real Real.semiring Real.semiring (AddCommGroup.toAddCommMonoid.{u1} E _inst_1) Real.instAddCommMonoidReal _inst_2 (Semiring.toModule.{0} Real Real.semiring) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) g x) (N x))))
+Case conversion may be inaccurate. Consider using '#align exists_extension_of_le_sublinear exists_extension_of_le_sublinearₓ'. -/
 /-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
 defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,
 then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`

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

@@ -1,14 +1,16 @@
 /-
-Copyright (c) 2020 Yury Kudryashov All rights reserved.
+Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
+! leanprover-community/mathlib commit 915591b2bb3ea303648db07284a161a7f2a9e3d4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathbin.Analysis.InnerProductSpace.Projection
+import Mathbin.Analysis.Convex.Hull
+import Mathbin.Data.Real.Basic
+import Mathbin.LinearAlgebra.LinearPmap
 
 /-!
 # Convex cones
@@ -22,9 +24,6 @@ convex cones and ordered modules.
 
 We define `convex.to_cone` to be the minimal cone that includes a given convex set.
 
-We define `set.inner_dual_cone` to be the cone consisting of all points `y` such that for
-all points `x` in a given set `0 ≤ ⟪ x, y ⟫`.
-
 ## Main statements
 
 We prove two extension theorems:
@@ -50,7 +49,6 @@ We prove the following theorems:
   interpretation of the
   [Farkas lemma](https://en.wikipedia.org/wiki/Farkas%27_lemma#Geometric_interpretation).
 * `convex_cone.inner_dual_cone_of_inner_dual_cone_eq_self`:
-  The `inner_dual_cone` of the `inner_dual_cone` of a nonempty, closed, convex cone is itself.
 
 ## Implementation notes
 
@@ -64,6 +62,8 @@ While `convex 𝕜` is a predicate on sets, `convex_cone 𝕜 E` is a bundled co
 -/
 
 
+assert_not_exists NormedSpace
+
 open Set LinearMap
 
 open Classical Pointwise
@@ -896,194 +896,3 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
       zero_add, sub_add_cancel]
 #align exists_extension_of_le_sublinear exists_extension_of_le_sublinear
 
-/-! ### The dual cone -/
-
-
-section Dual
-
-variable {H : Type _} [NormedAddCommGroup H] [InnerProductSpace ℝ H] (s t : Set H)
-
-open RealInnerProductSpace
-
-/-- The dual cone is the cone consisting of all points `y` such that for
-all points `x` in a given set `0 ≤ ⟪ x, y ⟫`. -/
-def Set.innerDualCone (s : Set H) : ConvexCone ℝ H
-    where
-  carrier := { y | ∀ x ∈ s, 0 ≤ ⟪x, y⟫ }
-  smul_mem' c hc y hy x hx := by
-    rw [real_inner_smul_right]
-    exact mul_nonneg hc.le (hy x hx)
-  add_mem' u hu v hv x hx := by
-    rw [inner_add_right]
-    exact add_nonneg (hu x hx) (hv x hx)
-#align set.inner_dual_cone Set.innerDualCone
-
-@[simp]
-theorem mem_innerDualCone (y : H) (s : Set H) : y ∈ s.innerDualCone ↔ ∀ x ∈ s, 0 ≤ ⟪x, y⟫ :=
-  Iff.rfl
-#align mem_inner_dual_cone mem_innerDualCone
-
-@[simp]
-theorem innerDualCone_empty : (∅ : Set H).innerDualCone = ⊤ :=
-  eq_top_iff.mpr fun x hy y => False.elim
-#align inner_dual_cone_empty innerDualCone_empty
-
-/-- Dual cone of the convex cone {0} is the total space. -/
-@[simp]
-theorem innerDualCone_zero : (0 : Set H).innerDualCone = ⊤ :=
-  eq_top_iff.mpr fun x hy y (hy : y = 0) => hy.symm ▸ (inner_zero_left _).ge
-#align inner_dual_cone_zero innerDualCone_zero
-
-/-- Dual cone of the total space is the convex cone {0}. -/
-@[simp]
-theorem innerDualCone_univ : (univ : Set H).innerDualCone = 0 :=
-  by
-  suffices ∀ x : H, x ∈ (univ : Set H).innerDualCone → x = 0
-    by
-    apply SetLike.coe_injective
-    exact eq_singleton_iff_unique_mem.mpr ⟨fun x hx => (inner_zero_right _).ge, this⟩
-  exact fun x hx => by simpa [← real_inner_self_nonpos] using hx (-x) (mem_univ _)
-#align inner_dual_cone_univ innerDualCone_univ
-
-theorem innerDualCone_le_innerDualCone (h : t ⊆ s) : s.innerDualCone ≤ t.innerDualCone :=
-  fun y hy x hx => hy x (h hx)
-#align inner_dual_cone_le_inner_dual_cone innerDualCone_le_innerDualCone
-
-theorem pointed_innerDualCone : s.innerDualCone.Pointed := fun x hx => by rw [inner_zero_right]
-#align pointed_inner_dual_cone pointed_innerDualCone
-
-/-- The inner dual cone of a singleton is given by the preimage of the positive cone under the
-linear map `λ y, ⟪x, y⟫`. -/
-theorem innerDualCone_singleton (x : H) :
-    ({x} : Set H).innerDualCone = (ConvexCone.positive ℝ ℝ).comap (innerₛₗ ℝ x) :=
-  ConvexCone.ext fun i => forall_eq
-#align inner_dual_cone_singleton innerDualCone_singleton
-
-theorem innerDualCone_union (s t : Set H) :
-    (s ∪ t).innerDualCone = s.innerDualCone ⊓ t.innerDualCone :=
-  le_antisymm (le_inf (fun x hx y hy => hx _ <| Or.inl hy) fun x hx y hy => hx _ <| Or.inr hy)
-    fun x hx y => Or.ndrec (hx.1 _) (hx.2 _)
-#align inner_dual_cone_union innerDualCone_union
-
-theorem innerDualCone_insert (x : H) (s : Set H) :
-    (insert x s).innerDualCone = Set.innerDualCone {x} ⊓ s.innerDualCone := by
-  rw [insert_eq, innerDualCone_union]
-#align inner_dual_cone_insert innerDualCone_insert
-
-theorem innerDualCone_iUnion {ι : Sort _} (f : ι → Set H) :
-    (⋃ i, f i).innerDualCone = ⨅ i, (f i).innerDualCone :=
-  by
-  refine' le_antisymm (le_iInf fun i x hx y hy => hx _ <| mem_Union_of_mem _ hy) _
-  intro x hx y hy
-  rw [ConvexCone.mem_iInf] at hx
-  obtain ⟨j, hj⟩ := mem_Union.mp hy
-  exact hx _ _ hj
-#align inner_dual_cone_Union innerDualCone_iUnion
-
-theorem innerDualCone_sUnion (S : Set (Set H)) :
-    (⋃₀ S).innerDualCone = sInf (Set.innerDualCone '' S) := by
-  simp_rw [sInf_image, sUnion_eq_bUnion, innerDualCone_iUnion]
-#align inner_dual_cone_sUnion innerDualCone_sUnion
-
-/-- The dual cone of `s` equals the intersection of dual cones of the points in `s`. -/
-theorem innerDualCone_eq_iInter_innerDualCone_singleton :
-    (s.innerDualCone : Set H) = ⋂ i : s, (({i} : Set H).innerDualCone : Set H) := by
-  rw [← ConvexCone.coe_iInf, ← innerDualCone_iUnion, Union_of_singleton_coe]
-#align inner_dual_cone_eq_Inter_inner_dual_cone_singleton innerDualCone_eq_iInter_innerDualCone_singleton
-
-theorem isClosed_innerDualCone : IsClosed (s.innerDualCone : Set H) :=
-  by
-  -- reduce the problem to showing that dual cone of a singleton `{x}` is closed
-  rw [innerDualCone_eq_iInter_innerDualCone_singleton]
-  apply isClosed_iInter
-  intro x
-  -- the dual cone of a singleton `{x}` is the preimage of `[0, ∞)` under `inner x`
-  have h : ↑({x} : Set H).innerDualCone = (inner x : H → ℝ) ⁻¹' Set.Ici 0 := by
-    rw [innerDualCone_singleton, ConvexCone.coe_comap, ConvexCone.coe_positive, innerₛₗ_apply_coe]
-  -- the preimage is closed as `inner x` is continuous and `[0, ∞)` is closed
-  rw [h]
-  exact is_closed_Ici.preimage (by continuity)
-#align is_closed_inner_dual_cone isClosed_innerDualCone
-
-theorem ConvexCone.pointed_of_nonempty_of_isClosed (K : ConvexCone ℝ H) (ne : (K : Set H).Nonempty)
-    (hc : IsClosed (K : Set H)) : K.Pointed :=
-  by
-  obtain ⟨x, hx⟩ := Ne
-  let f : ℝ → H := (· • x)
-  -- f (0, ∞) is a subset of K
-  have fI : f '' Set.Ioi 0 ⊆ (K : Set H) :=
-    by
-    rintro _ ⟨_, h, rfl⟩
-    exact K.smul_mem (Set.mem_Ioi.1 h) hx
-  -- closure of f (0, ∞) is a subset of K
-  have clf : closure (f '' Set.Ioi 0) ⊆ (K : Set H) := hc.closure_subset_iff.2 fI
-  -- f is continuous at 0 from the right
-  have fc : ContinuousWithinAt f (Set.Ioi (0 : ℝ)) 0 :=
-    (continuous_id.smul continuous_const).ContinuousWithinAt
-  -- 0 belongs to the closure of the f (0, ∞)
-  have mem₀ := fc.mem_closure_image (by rw [closure_Ioi (0 : ℝ), mem_Ici])
-  -- as 0 ∈ closure f (0, ∞) and closure f (0, ∞) ⊆ K, 0 ∈ K.
-  have f₀ : f 0 = 0 := zero_smul ℝ x
-  simpa only [f₀, ConvexCone.Pointed, ← SetLike.mem_coe] using mem_of_subset_of_mem clf mem₀
-#align convex_cone.pointed_of_nonempty_of_is_closed ConvexCone.pointed_of_nonempty_of_isClosed
-
-section CompleteSpace
-
-variable [CompleteSpace H]
-
-/-- This is a stronger version of the Hahn-Banach separation theorem for closed convex cones. This
-is also the geometric interpretation of Farkas' lemma. -/
-theorem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem (K : ConvexCone ℝ H)
-    (ne : (K : Set H).Nonempty) (hc : IsClosed (K : Set H)) {b : H} (disj : b ∉ K) :
-    ∃ y : H, (∀ x : H, x ∈ K → 0 ≤ ⟪x, y⟫_ℝ) ∧ ⟪y, b⟫_ℝ < 0 :=
-  by
-  -- let `z` be the point in `K` closest to `b`
-  obtain ⟨z, hzK, infi⟩ := exists_norm_eq_iInf_of_complete_convex Ne hc.is_complete K.convex b
-  -- for any `w` in `K`, we have `⟪b - z, w - z⟫_ℝ ≤ 0`
-  have hinner := (norm_eq_iInf_iff_real_inner_le_zero K.convex hzK).1 iInf
-  -- set `y := z - b`
-  use z - b
-  constructor
-  · -- the rest of the proof is a straightforward calculation
-    rintro x hxK
-    specialize hinner _ (K.add_mem hxK hzK)
-    rwa [add_sub_cancel, real_inner_comm, ← neg_nonneg, neg_eq_neg_one_mul, ← real_inner_smul_right,
-      neg_smul, one_smul, neg_sub] at hinner
-  · -- as `K` is closed and non-empty, it is pointed
-    have hinner₀ := hinner 0 (K.pointed_of_nonempty_of_is_closed Ne hc)
-    -- the rest of the proof is a straightforward calculation
-    rw [zero_sub, inner_neg_right, Right.neg_nonpos_iff] at hinner₀
-    have hbz : b - z ≠ 0 := by
-      rw [sub_ne_zero]
-      contrapose! hzK
-      rwa [← hzK]
-    rw [← neg_zero, lt_neg, ← neg_one_mul, ← real_inner_smul_left, smul_sub, neg_smul, one_smul,
-      neg_smul, neg_sub_neg, one_smul]
-    calc
-      0 < ⟪b - z, b - z⟫_ℝ := lt_of_not_le ((Iff.not real_inner_self_nonpos).2 hbz)
-      _ = ⟪b - z, b - z⟫_ℝ + 0 := (add_zero _).symm
-      _ ≤ ⟪b - z, b - z⟫_ℝ + ⟪b - z, z⟫_ℝ := (add_le_add rfl.ge hinner₀)
-      _ = ⟪b - z, b - z + z⟫_ℝ := (inner_add_right _ _ _).symm
-      _ = ⟪b - z, b⟫_ℝ := by rw [sub_add_cancel]
-      
-#align convex_cone.hyperplane_separation_of_nonempty_of_is_closed_of_nmem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem
-
-/-- The inner dual of inner dual of a non-empty, closed convex cone is itself.  -/
-theorem ConvexCone.innerDualCone_of_innerDualCone_eq_self (K : ConvexCone ℝ H)
-    (ne : (K : Set H).Nonempty) (hc : IsClosed (K : Set H)) :
-    ((K : Set H).innerDualCone : Set H).innerDualCone = K :=
-  by
-  ext x
-  constructor
-  · rw [mem_innerDualCone, ← SetLike.mem_coe]
-    contrapose!
-    exact K.hyperplane_separation_of_nonempty_of_is_closed_of_nmem Ne hc
-  · rintro hxK y h
-    specialize h x hxK
-    rwa [real_inner_comm]
-#align convex_cone.inner_dual_cone_of_inner_dual_cone_eq_self ConvexCone.innerDualCone_of_innerDualCone_eq_self
-
-end CompleteSpace
-
-end Dual
-

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

@@ -145,27 +145,27 @@ theorem mem_inf {x} : x ∈ S ⊓ T ↔ x ∈ S ∧ x ∈ T :=
 
 instance : InfSet (ConvexCone 𝕜 E) :=
   ⟨fun S =>
-    ⟨⋂ s ∈ S, ↑s, fun c hc x hx => mem_binterᵢ fun s hs => s.smul_mem hc <| mem_interᵢ₂.1 hx s hs,
+    ⟨⋂ s ∈ S, ↑s, fun c hc x hx => mem_biInter fun s hs => s.smul_mem hc <| mem_iInter₂.1 hx s hs,
       fun x hx y hy =>
-      mem_binterᵢ fun s hs => s.add_mem (mem_interᵢ₂.1 hx s hs) (mem_interᵢ₂.1 hy s hs)⟩⟩
+      mem_biInter fun s hs => s.add_mem (mem_iInter₂.1 hx s hs) (mem_iInter₂.1 hy s hs)⟩⟩
 
 @[simp]
-theorem coe_infₛ (S : Set (ConvexCone 𝕜 E)) : ↑(infₛ S) = ⋂ s ∈ S, (s : Set E) :=
+theorem coe_sInf (S : Set (ConvexCone 𝕜 E)) : ↑(sInf S) = ⋂ s ∈ S, (s : Set E) :=
   rfl
-#align convex_cone.coe_Inf ConvexCone.coe_infₛ
+#align convex_cone.coe_Inf ConvexCone.coe_sInf
 
-theorem mem_infₛ {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ infₛ S ↔ ∀ s ∈ S, x ∈ s :=
-  mem_interᵢ₂
-#align convex_cone.mem_Inf ConvexCone.mem_infₛ
+theorem mem_sInf {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ sInf S ↔ ∀ s ∈ S, x ∈ s :=
+  mem_iInter₂
+#align convex_cone.mem_Inf ConvexCone.mem_sInf
 
 @[simp]
-theorem coe_infᵢ {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(infᵢ f) = ⋂ i, (f i : Set E) := by
-  simp [infᵢ]
-#align convex_cone.coe_infi ConvexCone.coe_infᵢ
+theorem coe_iInf {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
+  simp [iInf]
+#align convex_cone.coe_infi ConvexCone.coe_iInf
 
-theorem mem_infᵢ {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ infᵢ f ↔ ∀ i, x ∈ f i :=
-  mem_interᵢ₂.trans <| by simp
-#align convex_cone.mem_infi ConvexCone.mem_infᵢ
+theorem mem_iInf {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
+  mem_iInter₂.trans <| by simp
+#align convex_cone.mem_infi ConvexCone.mem_iInf
 
 variable (𝕜)
 
@@ -202,19 +202,19 @@ instance : CompleteLattice (ConvexCone 𝕜 E) :=
     top := ⊤
     le_top := fun S x hx => mem_top 𝕜 x
     inf := (· ⊓ ·)
-    infₛ := InfSet.infₛ
-    sup := fun a b => infₛ { x | a ≤ x ∧ b ≤ x }
-    supₛ := fun s => infₛ { T | ∀ S ∈ s, S ≤ T }
-    le_sup_left := fun a b => fun x hx => mem_infₛ.2 fun s hs => hs.1 hx
-    le_sup_right := fun a b => fun x hx => mem_infₛ.2 fun s hs => hs.2 hx
-    sup_le := fun a b c ha hb x hx => mem_infₛ.1 hx c ⟨ha, hb⟩
+    sInf := InfSet.sInf
+    sup := fun a b => sInf { x | a ≤ x ∧ b ≤ x }
+    sSup := fun s => sInf { T | ∀ S ∈ s, S ≤ T }
+    le_sup_left := fun a b => fun x hx => mem_sInf.2 fun s hs => hs.1 hx
+    le_sup_right := fun a b => fun x hx => mem_sInf.2 fun s hs => hs.2 hx
+    sup_le := fun a b c ha hb x hx => mem_sInf.1 hx c ⟨ha, hb⟩
     le_inf := fun a b c ha hb x hx => ⟨ha hx, hb hx⟩
     inf_le_left := fun a b x => And.left
     inf_le_right := fun a b x => And.right
-    le_sup := fun s p hs x hx => mem_infₛ.2 fun t ht => ht p hs hx
-    sup_le := fun s p hs x hx => mem_infₛ.1 hx p hs
-    le_inf := fun s a ha x hx => mem_infₛ.2 fun t ht => ha t ht hx
-    inf_le := fun s a ha x hx => mem_infₛ.1 hx _ ha }
+    le_sup := fun s p hs x hx => mem_sInf.2 fun t ht => ht p hs hx
+    sup_le := fun s p hs x hx => mem_sInf.1 hx p hs
+    le_inf := fun s a ha x hx => mem_sInf.2 fun t ht => ha t ht hx
+    inf_le := fun s a ha x hx => mem_sInf.1 hx _ ha }
 
 instance : Inhabited (ConvexCone 𝕜 E) :=
   ⟨⊥⟩
@@ -703,9 +703,9 @@ theorem toCone_isLeast : IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } (hs.toCone
   exact t.smul_mem hc (ht hy)
 #align convex.to_cone_is_least Convex.toCone_isLeast
 
-theorem toCone_eq_infₛ : hs.toCone s = infₛ { t : ConvexCone 𝕜 E | s ⊆ t } :=
-  hs.toCone_isLeast.IsGLB.infₛ_eq.symm
-#align convex.to_cone_eq_Inf Convex.toCone_eq_infₛ
+theorem toCone_eq_sInf : hs.toCone s = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
+  hs.toCone_isLeast.IsGLB.sInf_eq.symm
+#align convex.to_cone_eq_Inf Convex.toCone_eq_sInf
 
 end Convex
 
@@ -717,10 +717,10 @@ theorem convexHull_toCone_isLeast (s : Set E) :
   exact ⟨fun h => convexHull_min h t.convex, (subset_convexHull 𝕜 s).trans⟩
 #align convex_hull_to_cone_is_least convexHull_toCone_isLeast
 
-theorem convexHull_toCone_eq_infₛ (s : Set E) :
-    (convex_convexHull 𝕜 s).toCone _ = infₛ { t : ConvexCone 𝕜 E | s ⊆ t } :=
-  Eq.symm <| IsGLB.infₛ_eq <| IsLeast.isGLB <| convexHull_toCone_isLeast s
-#align convex_hull_to_cone_eq_Inf convexHull_toCone_eq_infₛ
+theorem convexHull_toCone_eq_sInf (s : Set E) :
+    (convex_convexHull 𝕜 s).toCone _ = sInf { t : ConvexCone 𝕜 E | s ⊆ t } :=
+  Eq.symm <| IsGLB.sInf_eq <| IsLeast.isGLB <| convexHull_toCone_isLeast s
+#align convex_hull_to_cone_eq_Inf convexHull_toCone_eq_sInf
 
 end ConeFromConvex
 
@@ -825,12 +825,12 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     clear hp_nonneg hp_dense p
     have cne : c.nonempty := ⟨y, hy⟩
     refine'
-      ⟨LinearPMap.supₛ c c_chain.directed_on, _, fun _ => LinearPMap.le_supₛ c_chain.directed_on⟩
+      ⟨LinearPMap.sSup c c_chain.directed_on, _, fun _ => LinearPMap.le_sSup c_chain.directed_on⟩
     rintro ⟨x, hx⟩ hxs
     have hdir : DirectedOn (· ≤ ·) (LinearPMap.domain '' c) :=
       directedOn_image.2 (c_chain.directed_on.mono linear_pmap.domain_mono.monotone)
     rcases(mem_Sup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
-    have : f ≤ LinearPMap.supₛ c c_chain.directed_on := LinearPMap.le_supₛ _ hfc
+    have : f ≤ LinearPMap.sSup c c_chain.directed_on := LinearPMap.le_sSup _ hfc
     convert← hcs hfc ⟨x, hfx⟩ hxs
     apply this.2
     rfl
@@ -970,32 +970,32 @@ theorem innerDualCone_insert (x : H) (s : Set H) :
   rw [insert_eq, innerDualCone_union]
 #align inner_dual_cone_insert innerDualCone_insert
 
-theorem innerDualCone_unionᵢ {ι : Sort _} (f : ι → Set H) :
+theorem innerDualCone_iUnion {ι : Sort _} (f : ι → Set H) :
     (⋃ i, f i).innerDualCone = ⨅ i, (f i).innerDualCone :=
   by
-  refine' le_antisymm (le_infᵢ fun i x hx y hy => hx _ <| mem_Union_of_mem _ hy) _
+  refine' le_antisymm (le_iInf fun i x hx y hy => hx _ <| mem_Union_of_mem _ hy) _
   intro x hx y hy
-  rw [ConvexCone.mem_infᵢ] at hx
+  rw [ConvexCone.mem_iInf] at hx
   obtain ⟨j, hj⟩ := mem_Union.mp hy
   exact hx _ _ hj
-#align inner_dual_cone_Union innerDualCone_unionᵢ
+#align inner_dual_cone_Union innerDualCone_iUnion
 
-theorem innerDualCone_unionₛ (S : Set (Set H)) :
-    (⋃₀ S).innerDualCone = infₛ (Set.innerDualCone '' S) := by
-  simp_rw [infₛ_image, sUnion_eq_bUnion, innerDualCone_unionᵢ]
-#align inner_dual_cone_sUnion innerDualCone_unionₛ
+theorem innerDualCone_sUnion (S : Set (Set H)) :
+    (⋃₀ S).innerDualCone = sInf (Set.innerDualCone '' S) := by
+  simp_rw [sInf_image, sUnion_eq_bUnion, innerDualCone_iUnion]
+#align inner_dual_cone_sUnion innerDualCone_sUnion
 
 /-- The dual cone of `s` equals the intersection of dual cones of the points in `s`. -/
-theorem innerDualCone_eq_interᵢ_innerDualCone_singleton :
+theorem innerDualCone_eq_iInter_innerDualCone_singleton :
     (s.innerDualCone : Set H) = ⋂ i : s, (({i} : Set H).innerDualCone : Set H) := by
-  rw [← ConvexCone.coe_infᵢ, ← innerDualCone_unionᵢ, Union_of_singleton_coe]
-#align inner_dual_cone_eq_Inter_inner_dual_cone_singleton innerDualCone_eq_interᵢ_innerDualCone_singleton
+  rw [← ConvexCone.coe_iInf, ← innerDualCone_iUnion, Union_of_singleton_coe]
+#align inner_dual_cone_eq_Inter_inner_dual_cone_singleton innerDualCone_eq_iInter_innerDualCone_singleton
 
 theorem isClosed_innerDualCone : IsClosed (s.innerDualCone : Set H) :=
   by
   -- reduce the problem to showing that dual cone of a singleton `{x}` is closed
-  rw [innerDualCone_eq_interᵢ_innerDualCone_singleton]
-  apply isClosed_interᵢ
+  rw [innerDualCone_eq_iInter_innerDualCone_singleton]
+  apply isClosed_iInter
   intro x
   -- the dual cone of a singleton `{x}` is the preimage of `[0, ∞)` under `inner x`
   have h : ↑({x} : Set H).innerDualCone = (inner x : H → ℝ) ⁻¹' Set.Ici 0 := by
@@ -1038,9 +1038,9 @@ theorem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem (K : Co
     ∃ y : H, (∀ x : H, x ∈ K → 0 ≤ ⟪x, y⟫_ℝ) ∧ ⟪y, b⟫_ℝ < 0 :=
   by
   -- let `z` be the point in `K` closest to `b`
-  obtain ⟨z, hzK, infi⟩ := exists_norm_eq_infᵢ_of_complete_convex Ne hc.is_complete K.convex b
+  obtain ⟨z, hzK, infi⟩ := exists_norm_eq_iInf_of_complete_convex Ne hc.is_complete K.convex b
   -- for any `w` in `K`, we have `⟪b - z, w - z⟫_ℝ ≤ 0`
-  have hinner := (norm_eq_infᵢ_iff_real_inner_le_zero K.convex hzK).1 infᵢ
+  have hinner := (norm_eq_iInf_iff_real_inner_le_zero K.convex hzK).1 iInf
   -- set `y := z - b`
   use z - b
   constructor

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit c78cad350eb321c81e1eacf68d14e3d3ba1e17f7
+! leanprover-community/mathlib commit 46b633fd842bef9469441c0209906f6dddd2b4f5
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -901,7 +901,7 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
 
 section Dual
 
-variable {H : Type _} [InnerProductSpace ℝ H] (s t : Set H)
+variable {H : Type _} [NormedAddCommGroup H] [InnerProductSpace ℝ H] (s t : Set H)
 
 open RealInnerProductSpace
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ec294687917cbc5c73620b4414ae9b5dd9ae1b4

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit af8f9bc2aab1dd99a26f3dc982b7957f7762e7ba
+! leanprover-community/mathlib commit c78cad350eb321c81e1eacf68d14e3d3ba1e17f7
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -955,7 +955,7 @@ theorem pointed_innerDualCone : s.innerDualCone.Pointed := fun x hx => by rw [in
 /-- The inner dual cone of a singleton is given by the preimage of the positive cone under the
 linear map `λ y, ⟪x, y⟫`. -/
 theorem innerDualCone_singleton (x : H) :
-    ({x} : Set H).innerDualCone = (ConvexCone.positive ℝ ℝ).comap (innerₛₗ x) :=
+    ({x} : Set H).innerDualCone = (ConvexCone.positive ℝ ℝ).comap (innerₛₗ ℝ x) :=
   ConvexCone.ext fun i => forall_eq
 #align inner_dual_cone_singleton innerDualCone_singleton
 

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

@@ -712,7 +712,7 @@ end Convex
 theorem convexHull_toCone_isLeast (s : Set E) :
     IsLeast { t : ConvexCone 𝕜 E | s ⊆ t } ((convex_convexHull 𝕜 s).toCone _) :=
   by
-  convert (convex_convexHull 𝕜 s).toCone_isLeast
+  convert(convex_convexHull 𝕜 s).toCone_isLeast
   ext t
   exact ⟨fun h => convexHull_min h t.convex, (subset_convexHull 𝕜 s).trans⟩
 #align convex_hull_to_cone_is_least convexHull_toCone_isLeast
@@ -831,7 +831,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
       directedOn_image.2 (c_chain.directed_on.mono linear_pmap.domain_mono.monotone)
     rcases(mem_Sup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
     have : f ≤ LinearPMap.supₛ c c_chain.directed_on := LinearPMap.le_supₛ _ hfc
-    convert ← hcs hfc ⟨x, hfx⟩ hxs
+    convert← hcs hfc ⟨x, hfx⟩ hxs
     apply this.2
     rfl
 #align riesz_extension.exists_top RieszExtension.exists_top

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a313d8bba1bad05faba71a4a4e9742ab5bd9efd

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 
 ! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit 800f52292ec9385fdd2466f66d288d07c39cb7e3
+! leanprover-community/mathlib commit af8f9bc2aab1dd99a26f3dc982b7957f7762e7ba
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -931,7 +931,7 @@ theorem innerDualCone_empty : (∅ : Set H).innerDualCone = ⊤ :=
 /-- Dual cone of the convex cone {0} is the total space. -/
 @[simp]
 theorem innerDualCone_zero : (0 : Set H).innerDualCone = ⊤ :=
-  eq_top_iff.mpr fun x hy y (hy : y = 0) => hy.symm ▸ inner_zero_left.ge
+  eq_top_iff.mpr fun x hy y (hy : y = 0) => hy.symm ▸ (inner_zero_left _).ge
 #align inner_dual_cone_zero innerDualCone_zero
 
 /-- Dual cone of the total space is the convex cone {0}. -/
@@ -941,7 +941,7 @@ theorem innerDualCone_univ : (univ : Set H).innerDualCone = 0 :=
   suffices ∀ x : H, x ∈ (univ : Set H).innerDualCone → x = 0
     by
     apply SetLike.coe_injective
-    exact eq_singleton_iff_unique_mem.mpr ⟨fun x hx => inner_zero_right.ge, this⟩
+    exact eq_singleton_iff_unique_mem.mpr ⟨fun x hx => (inner_zero_right _).ge, this⟩
   exact fun x hx => by simpa [← real_inner_self_nonpos] using hx (-x) (mem_univ _)
 #align inner_dual_cone_univ innerDualCone_univ
 
@@ -1063,7 +1063,7 @@ theorem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem (K : Co
       0 < ⟪b - z, b - z⟫_ℝ := lt_of_not_le ((Iff.not real_inner_self_nonpos).2 hbz)
       _ = ⟪b - z, b - z⟫_ℝ + 0 := (add_zero _).symm
       _ ≤ ⟪b - z, b - z⟫_ℝ + ⟪b - z, z⟫_ℝ := (add_le_add rfl.ge hinner₀)
-      _ = ⟪b - z, b - z + z⟫_ℝ := inner_add_right.symm
+      _ = ⟪b - z, b - z + z⟫_ℝ := (inner_add_right _ _ _).symm
       _ = ⟪b - z, b⟫_ℝ := by rw [sub_add_cancel]
       
 #align convex_cone.hyperplane_separation_of_nonempty_of_is_closed_of_nmem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -607,7 +607,7 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
   lt_irrefl (0 : E)
     (calc
       0 < x := lt_of_le_of_ne xs hx.symm
-      _ ≤ x + -x := le_add_of_nonneg_right hx'
+      _ ≤ x + -x := (le_add_of_nonneg_right hx')
       _ = 0 := add_neg_self x
       )
 #align convex_cone.salient_positive ConvexCone.salient_positive
@@ -1062,7 +1062,7 @@ theorem ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem (K : Co
     calc
       0 < ⟪b - z, b - z⟫_ℝ := lt_of_not_le ((Iff.not real_inner_self_nonpos).2 hbz)
       _ = ⟪b - z, b - z⟫_ℝ + 0 := (add_zero _).symm
-      _ ≤ ⟪b - z, b - z⟫_ℝ + ⟪b - z, z⟫_ℝ := add_le_add rfl.ge hinner₀
+      _ ≤ ⟪b - z, b - z⟫_ℝ + ⟪b - z, z⟫_ℝ := (add_le_add rfl.ge hinner₀)
       _ = ⟪b - z, b - z + z⟫_ℝ := inner_add_right.symm
       _ = ⟪b - z, b⟫_ℝ := by rw [sub_add_cancel]
       

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -129,7 +129,7 @@ theorem add_mem ⦃x⦄ (hx : x ∈ S) ⦃y⦄ (hy : y ∈ S) : x + y ∈ S :=
 
 instance : AddMemClass (ConvexCone 𝕜 E) E where add_mem c a b ha hb := add_mem c ha hb
 
-instance : HasInf (ConvexCone 𝕜 E) :=
+instance : Inf (ConvexCone 𝕜 E) :=
   ⟨fun S T =>
     ⟨S ∩ T, fun c hc x hx => ⟨S.smul_mem hc hx.1, T.smul_mem hc hx.2⟩, fun x hx y hy =>
       ⟨S.add_mem hx.1 hy.1, T.add_mem hx.2 hy.2⟩⟩⟩

mathlib commit https://github.com/leanprover-community/mathlib/commit/22131150f88a2d125713ffa0f4693e3355b1eb49

@@ -780,13 +780,13 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
   refine' ⟨f.sup_span_singleton y (-c) hy, _, _⟩
   · refine' lt_iff_le_not_le.2 ⟨f.left_le_sup _ _, fun H => _⟩
     replace H := linear_pmap.domain_mono.monotone H
-    rw [LinearPmap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H
+    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H
     exact hy H.2
   · rintro ⟨z, hz⟩ hzs
     rcases mem_sup.1 hz with ⟨x, hx, y', hy', rfl⟩
     rcases mem_span_singleton.1 hy' with ⟨r, rfl⟩
     simp only [Subtype.coe_mk] at hzs
-    erw [LinearPmap.supSpanSingleton_apply_mk _ _ _ _ _ hx, smul_neg, ← sub_eq_add_neg, sub_nonneg]
+    erw [LinearPMap.supSpanSingleton_apply_mk _ _ _ _ _ hx, smul_neg, ← sub_eq_add_neg, sub_nonneg]
     rcases lt_trichotomy r 0 with (hr | hr | hr)
     · have : -(r⁻¹ • x) - y ∈ s := by
         rwa [← s.smul_mem_iff (neg_pos.2 hr), smul_sub, smul_neg, neg_smul, neg_neg, smul_smul,
@@ -825,12 +825,12 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     clear hp_nonneg hp_dense p
     have cne : c.nonempty := ⟨y, hy⟩
     refine'
-      ⟨LinearPmap.sup c c_chain.directed_on, _, fun _ => LinearPmap.le_sup c_chain.directed_on⟩
+      ⟨LinearPMap.supₛ c c_chain.directed_on, _, fun _ => LinearPMap.le_supₛ c_chain.directed_on⟩
     rintro ⟨x, hx⟩ hxs
-    have hdir : DirectedOn (· ≤ ·) (LinearPmap.domain '' c) :=
+    have hdir : DirectedOn (· ≤ ·) (LinearPMap.domain '' c) :=
       directedOn_image.2 (c_chain.directed_on.mono linear_pmap.domain_mono.monotone)
     rcases(mem_Sup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
-    have : f ≤ LinearPmap.sup c c_chain.directed_on := LinearPmap.le_sup _ hfc
+    have : f ≤ LinearPMap.supₛ c c_chain.directed_on := LinearPMap.le_supₛ _ hfc
     convert ← hcs hfc ⟨x, hfx⟩ hxs
     apply this.2
     rfl
@@ -874,7 +874,7 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
       add_mem' := fun x hx y hy => (N_add _ _).trans (add_le_add hx hy) }
   obtain ⟨g, g_eq, g_nonneg⟩ := riesz_extension s ((-f).coprod (linear_map.id.to_pmap ⊤)) _ _ <;>
     try
-      simp only [LinearPmap.coprod_apply, to_pmap_apply, id_apply, LinearPmap.neg_apply, ←
+      simp only [LinearPMap.coprod_apply, to_pmap_apply, id_apply, LinearPMap.neg_apply, ←
         sub_eq_neg_add, sub_nonneg, Subtype.coe_mk] at *
   replace g_eq : ∀ (x : f.domain) (y : ℝ), g (x, y) = y - f x
   · intro x y

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

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

@@ -568,7 +568,7 @@ theorem salient_positive : Salient (positive 𝕜 E) := fun x xs hx hx' =>
   lt_irrefl (0 : E)
     (calc
       0 < x := lt_of_le_of_ne xs hx.symm
-      _ ≤ x + -x := (le_add_of_nonneg_right hx')
+      _ ≤ x + -x := le_add_of_nonneg_right hx'
       _ = 0 := add_neg_self x
       )
 #align convex_cone.salient_positive ConvexCone.salient_positive

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

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

| Statement | New name | Old name | |

@@ -78,7 +78,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn
-    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
+    rw [add_assoc, add_sub_cancel, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
     replace := nonneg _ this
     rwa [f.map_sub, sub_nonneg] at this
   -- Porting note: removed an unused `have`

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

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

| Statement | New name | Old name | |

@@ -632,7 +632,7 @@ def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E := by
   · rintro _ ⟨cx, cx_pos, x, hx, rfl⟩ _ ⟨cy, cy_pos, y, hy, rfl⟩
     have : 0 < cx + cy := add_pos cx_pos cy_pos
     refine' ⟨_, this, _, convex_iff_div.1 hs hx hy cx_pos.le cy_pos.le this, _⟩
-    simp only [smul_add, smul_smul, mul_div_assoc', mul_div_cancel_left _ this.ne']
+    simp only [smul_add, smul_smul, mul_div_assoc', mul_div_cancel_left₀ _ this.ne']
 #align convex.to_cone Convex.toCone
 
 variable {s : Set E} (hs : Convex 𝕜 s) {x : E}

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -213,7 +213,6 @@ end Module
 section Maps
 
 variable [AddCommMonoid E] [AddCommMonoid F] [AddCommMonoid G]
-
 variable [Module 𝕜 E] [Module 𝕜 F] [Module 𝕜 G]
 
 /-- The image of a convex cone under a `𝕜`-linear map is a convex cone. -/
@@ -285,7 +284,6 @@ variable [LinearOrderedField 𝕜]
 section MulAction
 
 variable [AddCommMonoid E]
-
 variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
 
 theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=

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

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

@@ -71,7 +71,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
     set Sp := f '' { x : f.domain | (x : E) + y ∈ s }
     set Sn := f '' { x : f.domain | -(x : E) - y ∈ s }
     suffices (upperBounds Sn ∩ lowerBounds Sp).Nonempty by
-      simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
+      simpa only [Set.Nonempty, upperBounds, lowerBounds, forall_mem_image] using this
     refine' exists_between_of_forall_le (Nonempty.image f _) (Nonempty.image f (dense y)) _
     · rcases dense (-y) with ⟨x, hx⟩
       rw [← neg_neg x, NegMemClass.coe_neg, ← sub_eq_add_neg] at hx

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

@@ -44,7 +44,8 @@ assert_not_exists Real
 
 open Set LinearMap
 
-open Classical Pointwise
+open scoped Classical
+open Pointwise
 
 variable {𝕜 E F G : Type*}
 

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

@@ -258,7 +258,7 @@ theorem coe_comap (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 F) : (S.comap f :
   rfl
 #align convex_cone.coe_comap ConvexCone.coe_comap
 
-@[simp] -- porting note: was not a `dsimp` lemma
+@[simp] -- Porting note: was not a `dsimp` lemma
 theorem comap_id (S : ConvexCone 𝕜 E) : S.comap LinearMap.id = S :=
   rfl
 #align convex_cone.comap_id ConvexCone.comap_id

This covers many instances, but is not exhaustive.

Independently of whether that syntax should be avoided (similar to #10534), I think all these changes are small improvements.

@@ -64,8 +64,7 @@ submodule without breaking the non-negativity condition. -/
 theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
     (dense : ∀ y, ∃ x : f.domain, (x : E) + y ∈ s) (hdom : f.domain ≠ ⊤) :
     ∃ g, f < g ∧ ∀ x : g.domain, (x : E) ∈ s → 0 ≤ g x := by
-  obtain ⟨y, -, hy⟩ : ∃ y ∈ ⊤, y ∉ f.domain :=
-    @SetLike.exists_of_lt (Submodule ℝ E) _ _ _ _ (lt_top_iff_ne_top.2 hdom)
+  obtain ⟨y, -, hy⟩ : ∃ y ∈ ⊤, y ∉ f.domain := SetLike.exists_of_lt (lt_top_iff_ne_top.2 hdom)
   obtain ⟨c, le_c, c_le⟩ :
       ∃ c, (∀ x : f.domain, -(x : E) - y ∈ s → f x ≤ c) ∧
         ∀ x : f.domain, (x : E) + y ∈ s → c ≤ f x := by

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

@@ -174,11 +174,11 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
       add_mem' := fun x hx y hy => (N_add _ _).trans (add_le_add hx hy) }
   set f' := (-f).coprod (LinearMap.id.toPMap ⊤)
   have hf'_nonneg : ∀ x : f'.domain, x.1 ∈ s → 0 ≤ f' x := fun x (hx : N x.1.1 ≤ x.1.2) ↦ by
-    simpa using le_trans (hf ⟨x.1.1, x.2.1⟩) hx
+    simpa [f'] using le_trans (hf ⟨x.1.1, x.2.1⟩) hx
   have hf'_dense : ∀ y : E × ℝ, ∃ x : f'.domain, ↑x + y ∈ s := by
     rintro ⟨x, y⟩
     refine' ⟨⟨(0, N x - y), ⟨f.domain.zero_mem, trivial⟩⟩, _⟩
-    simp only [ConvexCone.mem_mk, mem_setOf_eq, Prod.fst_add, Prod.snd_add, zero_add,
+    simp only [s, ConvexCone.mem_mk, mem_setOf_eq, Prod.fst_add, Prod.snd_add, zero_add,
       sub_add_cancel, le_rfl]
   obtain ⟨g, g_eq, g_nonneg⟩ := riesz_extension s f' hf'_nonneg hf'_dense
   replace g_eq : ∀ (x : f.domain) (y : ℝ), g (x, y) = y - f x := fun x y ↦

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

@@ -95,7 +95,7 @@ theorem ext {S T : ConvexCone 𝕜 E} (h : ∀ x, x ∈ S ↔ x ∈ T) : S = T :
   SetLike.ext h
 #align convex_cone.ext ConvexCone.ext
 
-@[aesop safe apply (rule_sets [SetLike])]
+@[aesop safe apply (rule_sets := [SetLike])]
 theorem smul_mem {c : 𝕜} {x : E} (hc : 0 < c) (hx : x ∈ S) : c • x ∈ S :=
   S.smul_mem' hc hx
 #align convex_cone.smul_mem ConvexCone.smul_mem

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

This follows on from #6964.

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

@@ -117,8 +117,8 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
     ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x := by
   set S := { p : E →ₗ.[ℝ] ℝ | ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x }
-  have hSc : ∀ c, c ⊆ S → IsChain (· ≤ ·) c → ∀ y ∈ c, ∃ ub ∈ S, ∀ z ∈ c, z ≤ ub
-  · intro c hcs c_chain y hy
+  have hSc : ∀ c, c ⊆ S → IsChain (· ≤ ·) c → ∀ y ∈ c, ∃ ub ∈ S, ∀ z ∈ c, z ≤ ub := by
+    intro c hcs c_chain y hy
     clear hp_nonneg hp_dense p
     have cne : c.Nonempty := ⟨y, hy⟩
     have hcd : DirectedOn (· ≤ ·) c := c_chain.directedOn
@@ -131,13 +131,13 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     convert ← hcs hfc ⟨x, hfx⟩ hxs using 1
     exact this.2 rfl
   obtain ⟨q, hqs, hpq, hq⟩ := zorn_nonempty_partialOrder₀ S hSc p hp_nonneg
-  · refine' ⟨q, hpq, _, hqs⟩
-    contrapose! hq
-    have hqd : ∀ y, ∃ x : q.domain, (x : E) + y ∈ s := fun y ↦
-      let ⟨x, hx⟩ := hp_dense y
-      ⟨Submodule.inclusion hpq.left x, hx⟩
-    rcases step s q hqs hqd hq with ⟨r, hqr, hr⟩
-    exact ⟨r, hr, hqr.le, hqr.ne'⟩
+  refine ⟨q, hpq, ?_, hqs⟩
+  contrapose! hq
+  have hqd : ∀ y, ∃ x : q.domain, (x : E) + y ∈ s := fun y ↦
+    let ⟨x, hx⟩ := hp_dense y
+    ⟨Submodule.inclusion hpq.left x, hx⟩
+  rcases step s q hqs hqd hq with ⟨r, hqr, hr⟩
+  exact ⟨r, hr, hqr.le, hqr.ne'⟩
 #align riesz_extension.exists_top RieszExtension.exists_top
 
 end RieszExtension
@@ -175,8 +175,8 @@ theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ
   set f' := (-f).coprod (LinearMap.id.toPMap ⊤)
   have hf'_nonneg : ∀ x : f'.domain, x.1 ∈ s → 0 ≤ f' x := fun x (hx : N x.1.1 ≤ x.1.2) ↦ by
     simpa using le_trans (hf ⟨x.1.1, x.2.1⟩) hx
-  have hf'_dense : ∀ y : E × ℝ, ∃ x : f'.domain, ↑x + y ∈ s
-  · rintro ⟨x, y⟩
+  have hf'_dense : ∀ y : E × ℝ, ∃ x : f'.domain, ↑x + y ∈ s := by
+    rintro ⟨x, y⟩
     refine' ⟨⟨(0, N x - y), ⟨f.domain.zero_mem, trivial⟩⟩, _⟩
     simp only [ConvexCone.mem_mk, mem_setOf_eq, Prod.fst_add, Prod.snd_add, zero_add,
       sub_add_cancel, le_rfl]

@@ -75,7 +75,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
     refine' exists_between_of_forall_le (Nonempty.image f _) (Nonempty.image f (dense y)) _
     · rcases dense (-y) with ⟨x, hx⟩
-      rw [← neg_neg x, AddSubgroupClass.coe_neg, ← sub_eq_add_neg] at hx
+      rw [← neg_neg x, NegMemClass.coe_neg, ← sub_eq_add_neg] at hx
       exact ⟨_, hx⟩
     rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
     have := s.add_mem hxp hxn

• 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.

@@ -443,19 +443,19 @@ theorem pointed_zero : (0 : ConvexCone 𝕜 E).Pointed := by rw [Pointed, mem_ze
 
 instance instAdd : Add (ConvexCone 𝕜 E) :=
   ⟨fun K₁ K₂ =>
-    { carrier := { z | ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = z }
+    { carrier := { z | ∃ x ∈ K₁, ∃ y ∈ K₂, x + y = z }
       smul_mem' := by
-        rintro c hc _ ⟨x, y, hx, hy, rfl⟩
+        rintro c hc _ ⟨x, hx, y, hy, rfl⟩
         rw [smul_add]
-        use c • x, c • y, K₁.smul_mem hc hx, K₂.smul_mem hc hy
+        use c • x, K₁.smul_mem hc hx, c • y, K₂.smul_mem hc hy
       add_mem' := by
-        rintro _ ⟨x₁, x₂, hx₁, hx₂, rfl⟩ y ⟨y₁, y₂, hy₁, hy₂, rfl⟩
-        use x₁ + y₁, x₂ + y₂, K₁.add_mem hx₁ hy₁, K₂.add_mem hx₂ hy₂
+        rintro _ ⟨x₁, hx₁, x₂, hx₂, rfl⟩ y ⟨y₁, hy₁, y₂, hy₂, rfl⟩
+        use x₁ + y₁, K₁.add_mem hx₁ hy₁, x₂ + y₂, K₂.add_mem hx₂ hy₂
         abel }⟩
 
 @[simp]
 theorem mem_add {K₁ K₂ : ConvexCone 𝕜 E} {a : E} :
-    a ∈ K₁ + K₂ ↔ ∃ x y : E, x ∈ K₁ ∧ y ∈ K₂ ∧ x + y = a :=
+    a ∈ K₁ + K₂ ↔ ∃ x ∈ K₁, ∃ y ∈ K₂, x + y = a :=
   Iff.rfl
 #align convex_cone.mem_add ConvexCone.mem_add
 
@@ -465,8 +465,8 @@ instance instAddZeroClass : AddZeroClass (ConvexCone 𝕜 E) where
 
 instance instAddCommSemigroup : AddCommSemigroup (ConvexCone 𝕜 E) where
   add := Add.add
-  add_assoc _ _ _ := SetLike.coe_injective <| Set.addCommSemigroup.add_assoc _ _ _
-  add_comm _ _ := SetLike.coe_injective <| Set.addCommSemigroup.add_comm _ _
+  add_assoc _ _ _ := SetLike.coe_injective <| add_assoc _ _ _
+  add_comm _ _ := SetLike.coe_injective <| add_comm _ _
 
 end Module
 

Introduce the Scott topology on a preorder, defined in terms of directed sets.

There is already a related notion of Scott topology defined in topology.omega_complete_partial_order, where it is defined on ω-complete partial orders in terms of ω-chains. In some circumstances the definition given here coincides with that given in topology.omega_complete_partial_order but in general they are different. Abramsky and Jung ([Domain Theory, 2.2.4][abramsky_gabbay_maibaum_1994]) argue that the ω-chain approach has pedagogical advantages, but the directed sets approach is more appropriate as a theoretical foundation.

Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -125,7 +125,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     refine' ⟨LinearPMap.sSup c hcd, _, fun _ ↦ LinearPMap.le_sSup hcd⟩
     rintro ⟨x, hx⟩ hxs
     have hdir : DirectedOn (· ≤ ·) (LinearPMap.domain '' c) :=
-      directedOn_image.2 (hcd.mono fun h ↦ LinearPMap.domain_mono.monotone h)
+      directedOn_image.2 (hcd.mono LinearPMap.domain_mono.monotone)
     rcases (mem_sSup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
     have : f ≤ LinearPMap.sSup c hcd := LinearPMap.le_sSup _ hfc
     convert ← hcs hfc ⟨x, hfx⟩ hxs using 1

This matches Set.inclusion, Subring.inclusion, Subalgebra.inclusion, etc.

Also renames the homOfLe spellings in Algebra/Lie to match.

Note that we leave LieSubalgebra.ofLe, as this is a completely different statement!

As requested by @alreadydone.

@@ -135,7 +135,7 @@ theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x :
     contrapose! hq
     have hqd : ∀ y, ∃ x : q.domain, (x : E) + y ∈ s := fun y ↦
       let ⟨x, hx⟩ := hp_dense y
-      ⟨ofLe hpq.left x, hx⟩
+      ⟨Submodule.inclusion hpq.left x, hx⟩
     rcases step s q hqs hqd hq with ⟨r, hqr, hr⟩
     exact ⟨r, hr, hqr.le, hqr.ne'⟩
 #align riesz_extension.exists_top RieszExtension.exists_top

Splits Mathlib.Analysis.Convex.Cone.Basic, to move Riesz extension and Hahn-Banach out of the basic file about definitions.

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

Splits Mathlib.Analysis.Convex.Cone.Basic, to move Riesz extension and Hahn-Banach out of the basic file about definitions.

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

@@ -4,8 +4,6 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 -/
 import Mathlib.Analysis.Convex.Hull
-import Mathlib.Data.Real.Archimedean
-import Mathlib.LinearAlgebra.LinearPMap
 
 #align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"915591b2bb3ea303648db07284a161a7f2a9e3d4"
 
@@ -23,29 +21,11 @@ We define `Convex.toCone` to be the minimal cone that includes a given convex se
 
 ## Main statements
 
-We prove two extension theorems:
-* `riesz_extension`:
-  [M. Riesz extension theorem](https://en.wikipedia.org/wiki/M._Riesz_extension_theorem) says that
-  if `s` is a convex cone in a real vector space `E`, `p` is a submodule of `E`
-  such that `p + s = E`, and `f` is a linear function `p → ℝ` which is
-  nonnegative on `p ∩ s`, then there exists a globally defined linear function
-  `g : E → ℝ` that agrees with `f` on `p`, and is nonnegative on `s`.
-* `exists_extension_of_le_sublinear`:
-  Hahn-Banach theorem: if `N : E → ℝ` is a sublinear map, `f` is a linear map
-  defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,
-  then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`
-  for all `x`
-
-In `Mathlib/Analysis/Convex/Cone/Dual.lean`, we prove the following theorems:
-* `ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem`:
-  This variant of the
-  [hyperplane separation theorem](https://en.wikipedia.org/wiki/Hyperplane_separation_theorem)
-  states that given a nonempty, closed, convex cone `K` in a complete, real inner product space `H`
-  and a point `b` disjoint from it, there is a vector `y` which separates `b` from `K` in the sense
-  that for all points `x` in `K`, `0 ≤ ⟪x, y⟫_ℝ` and `⟪y, b⟫_ℝ < 0`. This is also a geometric
-  interpretation of the
-  [Farkas lemma](https://en.wikipedia.org/wiki/Farkas%27_lemma#Geometric_interpretation).
-* `ConvexCone.inner_dual_cone_of_inner_dual_cone_eq_self`:
+In `Mathlib/Analysis/Convex/Cone/Extension.lean` we prove
+the M. Riesz extension theorem and a form of the Hahn-Banach theorem.
+
+In `Mathlib/Analysis/Convex/Cone/Dual.lean` we prove
+a variant of the hyperplane separation theorem.
 
 ## Implementation notes
 
@@ -60,6 +40,7 @@ While `Convex 𝕜` is a predicate on sets, `ConvexCone 𝕜 E` is a bundled con
 
 
 assert_not_exists NormedSpace
+assert_not_exists Real
 
 open Set LinearMap
 
@@ -699,162 +680,3 @@ theorem convexHull_toCone_eq_sInf (s : Set E) :
 #align convex_hull_to_cone_eq_Inf convexHull_toCone_eq_sInf
 
 end ConeFromConvex
-
-/-!
-### M. Riesz extension theorem
-
-Given a convex cone `s` in a vector space `E`, a submodule `p`, and a linear `f : p → ℝ`, assume
-that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then there exists a globally defined linear
-function `g : E → ℝ` that agrees with `f` on `p`, and is nonnegative on `s`.
-
-We prove this theorem using Zorn's lemma. `RieszExtension.step` is the main part of the proof.
-It says that if the domain `p` of `f` is not the whole space, then `f` can be extended to a larger
-subspace `p ⊔ span ℝ {y}` without breaking the non-negativity condition.
-
-In `RieszExtension.exists_top` we use Zorn's lemma to prove that we can extend `f`
-to a linear map `g` on `⊤ : Submodule E`. Mathematically this is the same as a linear map on `E`
-but in Lean `⊤ : Submodule E` is isomorphic but is not equal to `E`. In `riesz_extension`
-we use this isomorphism to prove the theorem.
--/
-
-
-variable [AddCommGroup E] [Module ℝ E]
-
-namespace RieszExtension
-
-open Submodule
-
-variable (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
-
-/-- Induction step in M. Riesz extension theorem. Given a convex cone `s` in a vector space `E`,
-a partially defined linear map `f : f.domain → ℝ`, assume that `f` is nonnegative on `f.domain ∩ p`
-and `p + s = E`. If `f` is not defined on the whole `E`, then we can extend it to a larger
-submodule without breaking the non-negativity condition. -/
-theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
-    (dense : ∀ y, ∃ x : f.domain, (x : E) + y ∈ s) (hdom : f.domain ≠ ⊤) :
-    ∃ g, f < g ∧ ∀ x : g.domain, (x : E) ∈ s → 0 ≤ g x := by
-  obtain ⟨y, -, hy⟩ : ∃ y ∈ ⊤, y ∉ f.domain :=
-    @SetLike.exists_of_lt (Submodule ℝ E) _ _ _ _ (lt_top_iff_ne_top.2 hdom)
-  obtain ⟨c, le_c, c_le⟩ :
-      ∃ c, (∀ x : f.domain, -(x : E) - y ∈ s → f x ≤ c) ∧
-        ∀ x : f.domain, (x : E) + y ∈ s → c ≤ f x := by
-    set Sp := f '' { x : f.domain | (x : E) + y ∈ s }
-    set Sn := f '' { x : f.domain | -(x : E) - y ∈ s }
-    suffices (upperBounds Sn ∩ lowerBounds Sp).Nonempty by
-      simpa only [Set.Nonempty, upperBounds, lowerBounds, ball_image_iff] using this
-    refine' exists_between_of_forall_le (Nonempty.image f _) (Nonempty.image f (dense y)) _
-    · rcases dense (-y) with ⟨x, hx⟩
-      rw [← neg_neg x, AddSubgroupClass.coe_neg, ← sub_eq_add_neg] at hx
-      exact ⟨_, hx⟩
-    rintro a ⟨xn, hxn, rfl⟩ b ⟨xp, hxp, rfl⟩
-    have := s.add_mem hxp hxn
-    rw [add_assoc, add_sub_cancel'_right, ← sub_eq_add_neg, ← AddSubgroupClass.coe_sub] at this
-    replace := nonneg _ this
-    rwa [f.map_sub, sub_nonneg] at this
-  -- Porting note: removed an unused `have`
-  refine' ⟨f.supSpanSingleton y (-c) hy, _, _⟩
-  · refine' lt_iff_le_not_le.2 ⟨f.left_le_sup _ _, fun H => _⟩
-    replace H := LinearPMap.domain_mono.monotone H
-    rw [LinearPMap.domain_supSpanSingleton, sup_le_iff, span_le, singleton_subset_iff] at H
-    exact hy H.2
-  · rintro ⟨z, hz⟩ hzs
-    rcases mem_sup.1 hz with ⟨x, hx, y', hy', rfl⟩
-    rcases mem_span_singleton.1 hy' with ⟨r, rfl⟩
-    simp only [Subtype.coe_mk] at hzs
-    erw [LinearPMap.supSpanSingleton_apply_mk _ _ _ _ _ hx, smul_neg, ← sub_eq_add_neg, sub_nonneg]
-    rcases lt_trichotomy r 0 with (hr | hr | hr)
-    · have : -(r⁻¹ • x) - y ∈ s := by
-        rwa [← s.smul_mem_iff (neg_pos.2 hr), smul_sub, smul_neg, neg_smul, neg_neg, smul_smul,
-          mul_inv_cancel hr.ne, one_smul, sub_eq_add_neg, neg_smul, neg_neg]
-      -- Porting note: added type annotation and `by exact`
-      replace : f (r⁻¹ • ⟨x, hx⟩) ≤ c := le_c (r⁻¹ • ⟨x, hx⟩) (by exact this)
-      rwa [← mul_le_mul_left (neg_pos.2 hr), neg_mul, neg_mul, neg_le_neg_iff, f.map_smul,
-        smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this
-    · subst r
-      simp only [zero_smul, add_zero] at hzs ⊢
-      apply nonneg
-      exact hzs
-    · have : r⁻¹ • x + y ∈ s := by
-        rwa [← s.smul_mem_iff hr, smul_add, smul_smul, mul_inv_cancel hr.ne', one_smul]
-      -- Porting note: added type annotation and `by exact`
-      replace : c ≤ f (r⁻¹ • ⟨x, hx⟩) := c_le (r⁻¹ • ⟨x, hx⟩) (by exact this)
-      rwa [← mul_le_mul_left hr, f.map_smul, smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne',
-        one_mul] at this
-#align riesz_extension.step RieszExtension.step
-
-theorem exists_top (p : E →ₗ.[ℝ] ℝ) (hp_nonneg : ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x)
-    (hp_dense : ∀ y, ∃ x : p.domain, (x : E) + y ∈ s) :
-    ∃ q ≥ p, q.domain = ⊤ ∧ ∀ x : q.domain, (x : E) ∈ s → 0 ≤ q x := by
-  set S := { p : E →ₗ.[ℝ] ℝ | ∀ x : p.domain, (x : E) ∈ s → 0 ≤ p x }
-  have hSc : ∀ c, c ⊆ S → IsChain (· ≤ ·) c → ∀ y ∈ c, ∃ ub ∈ S, ∀ z ∈ c, z ≤ ub
-  · intro c hcs c_chain y hy
-    clear hp_nonneg hp_dense p
-    have cne : c.Nonempty := ⟨y, hy⟩
-    have hcd : DirectedOn (· ≤ ·) c := c_chain.directedOn
-    refine' ⟨LinearPMap.sSup c hcd, _, fun _ ↦ LinearPMap.le_sSup hcd⟩
-    rintro ⟨x, hx⟩ hxs
-    have hdir : DirectedOn (· ≤ ·) (LinearPMap.domain '' c) :=
-      directedOn_image.2 (hcd.mono fun h ↦ LinearPMap.domain_mono.monotone h)
-    rcases (mem_sSup_of_directed (cne.image _) hdir).1 hx with ⟨_, ⟨f, hfc, rfl⟩, hfx⟩
-    have : f ≤ LinearPMap.sSup c hcd := LinearPMap.le_sSup _ hfc
-    convert ← hcs hfc ⟨x, hfx⟩ hxs using 1
-    exact this.2 rfl
-  obtain ⟨q, hqs, hpq, hq⟩ := zorn_nonempty_partialOrder₀ S hSc p hp_nonneg
-  · refine' ⟨q, hpq, _, hqs⟩
-    contrapose! hq
-    have hqd : ∀ y, ∃ x : q.domain, (x : E) + y ∈ s := fun y ↦
-      let ⟨x, hx⟩ := hp_dense y
-      ⟨ofLe hpq.left x, hx⟩
-    rcases step s q hqs hqd hq with ⟨r, hqr, hr⟩
-    exact ⟨r, hr, hqr.le, hqr.ne'⟩
-#align riesz_extension.exists_top RieszExtension.exists_top
-
-end RieszExtension
-
-/-- M. **Riesz extension theorem**: given a convex cone `s` in a vector space `E`, a submodule `p`,
-and a linear `f : p → ℝ`, assume that `f` is nonnegative on `p ∩ s` and `p + s = E`. Then
-there exists a globally defined linear function `g : E → ℝ` that agrees with `f` on `p`,
-and is nonnegative on `s`. -/
-theorem riesz_extension (s : ConvexCone ℝ E) (f : E →ₗ.[ℝ] ℝ)
-    (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
-    (dense : ∀ y, ∃ x : f.domain, (x : E) + y ∈ s) :
-    ∃ g : E →ₗ[ℝ] ℝ, (∀ x : f.domain, g x = f x) ∧ ∀ x ∈ s, 0 ≤ g x := by
-  rcases RieszExtension.exists_top s f nonneg dense
-    with ⟨⟨g_dom, g⟩, ⟨-, hfg⟩, rfl : g_dom = ⊤, hgs⟩
-  refine' ⟨g.comp (LinearMap.id.codRestrict ⊤ fun _ ↦ trivial), _, _⟩
-  · exact fun x => (hfg rfl).symm
-  · exact fun x hx => hgs ⟨x, _⟩ hx
-#align riesz_extension riesz_extension
-
-/-- **Hahn-Banach theorem**: if `N : E → ℝ` is a sublinear map, `f` is a linear map
-defined on a subspace of `E`, and `f x ≤ N x` for all `x` in the domain of `f`,
-then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`
-for all `x`. -/
-theorem exists_extension_of_le_sublinear (f : E →ₗ.[ℝ] ℝ) (N : E → ℝ)
-    (N_hom : ∀ c : ℝ, 0 < c → ∀ x, N (c • x) = c * N x) (N_add : ∀ x y, N (x + y) ≤ N x + N y)
-    (hf : ∀ x : f.domain, f x ≤ N x) :
-    ∃ g : E →ₗ[ℝ] ℝ, (∀ x : f.domain, g x = f x) ∧ ∀ x, g x ≤ N x := by
-  let s : ConvexCone ℝ (E × ℝ) :=
-    { carrier := { p : E × ℝ | N p.1 ≤ p.2 }
-      smul_mem' := fun c hc p hp =>
-        calc
-          N (c • p.1) = c * N p.1 := N_hom c hc p.1
-          _ ≤ c * p.2 := mul_le_mul_of_nonneg_left hp hc.le
-      add_mem' := fun x hx y hy => (N_add _ _).trans (add_le_add hx hy) }
-  set f' := (-f).coprod (LinearMap.id.toPMap ⊤)
-  have hf'_nonneg : ∀ x : f'.domain, x.1 ∈ s → 0 ≤ f' x := fun x (hx : N x.1.1 ≤ x.1.2) ↦ by
-    simpa using le_trans (hf ⟨x.1.1, x.2.1⟩) hx
-  have hf'_dense : ∀ y : E × ℝ, ∃ x : f'.domain, ↑x + y ∈ s
-  · rintro ⟨x, y⟩
-    refine' ⟨⟨(0, N x - y), ⟨f.domain.zero_mem, trivial⟩⟩, _⟩
-    simp only [ConvexCone.mem_mk, mem_setOf_eq, Prod.fst_add, Prod.snd_add, zero_add,
-      sub_add_cancel, le_rfl]
-  obtain ⟨g, g_eq, g_nonneg⟩ := riesz_extension s f' hf'_nonneg hf'_dense
-  replace g_eq : ∀ (x : f.domain) (y : ℝ), g (x, y) = y - f x := fun x y ↦
-    (g_eq ⟨(x, y), ⟨x.2, trivial⟩⟩).trans (sub_eq_neg_add _ _).symm
-  refine ⟨-g.comp (inl ℝ E ℝ), fun x ↦ ?_, fun x ↦ ?_⟩
-  · simp [g_eq x 0]
-  · calc -g (x, 0) = g (0, N x) - g (x, N x) := by simp [← map_sub, ← map_neg]
-      _ = N x - g (x, N x) := by simpa using g_eq 0 (N x)
-      _ ≤ N x := by simpa using g_nonneg ⟨x, N x⟩ (le_refl (N x))
-#align exists_extension_of_le_sublinear exists_extension_of_le_sublinear

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
 -/
 import Mathlib.Analysis.Convex.Hull
-import Mathlib.Data.Real.Basic
+import Mathlib.Data.Real.Archimedean
 import Mathlib.LinearAlgebra.LinearPMap
 
 #align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"915591b2bb3ea303648db07284a161a7f2a9e3d4"

This creates a new aesop rule set called SetLike to house lemmas about membership in subobjects.

Lemmas like pow_mem should be included in the rule set:

@[to_additive (attr := aesop safe apply (rule_sets [SetLike]))]
theorem pow_mem {M A} [Monoid M] [SetLike A M] [SubmonoidClass A M] {S : A} {x : M}
(hx : x ∈ S) : ∀ n : ℕ, x ^ n ∈ S

Lemmas about closures, like AddSubmonoid.closure should be included in the rule set, but they should be assigned a penalty (here we choose 20 throughout) so that they are not attempted before the general purpose ones like pow_mem.

@[to_additive (attr := simp, aesop safe 20 apply (rule_sets [SetLike]))
  "The `AddSubmonoid` generated by a set includes the set."]
theorem subset_closure : s ⊆ closure s := fun _ hx => mem_closure.2 fun _ hS => hS hx

In order for aesop to make effective use of AddSubmonoid.closure it needs the following new lemma.

@[aesop 5% apply (rule_sets [SetLike])]
lemma mem_of_subset {s : Set B} (hp : s ⊆ p) {x : B} (hx : x ∈ s) : x ∈ p := hp hx

Note: this lemma is marked as very unsafe (5%) because it will apply whenever the goal is of the form x ∈ p where p is any term of a SetLike instance; and moreover, it will create s as a metavariable, which is in general a terrible idea, but necessary for the reason mentioned above.

@@ -114,6 +114,7 @@ theorem ext {S T : ConvexCone 𝕜 E} (h : ∀ x, x ∈ S ↔ x ∈ T) : S = T :
   SetLike.ext h
 #align convex_cone.ext ConvexCone.ext
 
+@[aesop safe apply (rule_sets [SetLike])]
 theorem smul_mem {c : 𝕜} {x : E} (hc : 0 < c) (hx : x ∈ S) : c • x ∈ S :=
   S.smul_mem' hc hx
 #align convex_cone.smul_mem ConvexCone.smul_mem

We define PointedCone as Submodule 𝕜≥0 E. Most of this code is copied from the ConvexCone file.

The main reason for this type synonym is to be able to work with direct sums/products of cones (which are now just direct sums/products of submodules).

Co-authored-by: Apurva Nakade <apurvnakade@gmail.com> Co-authored-by: apurvanakade <53553755+apurvanakade@users.noreply.github.com>

@@ -227,28 +227,10 @@ protected theorem convex : Convex 𝕜 (S : Set E) :=
 
 end Module
 
-end OrderedSemiring
-
-section LinearOrderedField
-
-variable [LinearOrderedField 𝕜]
-
-section AddCommMonoid
+section Maps
 
 variable [AddCommMonoid E] [AddCommMonoid F] [AddCommMonoid G]
 
-section MulAction
-
-variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
-
-theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
-  ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
-#align convex_cone.smul_mem_iff ConvexCone.smul_mem_iff
-
-end MulAction
-
-section Module
-
 variable [Module 𝕜 E] [Module 𝕜 F] [Module 𝕜 G]
 
 /-- The image of a convex cone under a `𝕜`-linear map is a convex cone. -/
@@ -259,6 +241,10 @@ def map (f : E →ₗ[𝕜] F) (S : ConvexCone 𝕜 E) : ConvexCone 𝕜 F where
     hy₁ ▸ hy₂ ▸ f.map_add x₁ x₂ ▸ mem_image_of_mem f (S.add_mem hx₁ hx₂)
 #align convex_cone.map ConvexCone.map
 
+@[simp, norm_cast]
+theorem coe_map (S : ConvexCone 𝕜 E) (f : E →ₗ[𝕜] F) : (S.map f : Set F) = f '' S :=
+  rfl
+
 @[simp]
 theorem mem_map {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 E} {y : F} : y ∈ S.map f ↔ ∃ x ∈ S, f x = y :=
   Set.mem_image f S y
@@ -305,9 +291,25 @@ theorem mem_comap {f : E →ₗ[𝕜] F} {S : ConvexCone 𝕜 F} {x : E} : x ∈
   Iff.rfl
 #align convex_cone.mem_comap ConvexCone.mem_comap
 
-end Module
+end Maps
 
-end AddCommMonoid
+end OrderedSemiring
+
+section LinearOrderedField
+
+variable [LinearOrderedField 𝕜]
+
+section MulAction
+
+variable [AddCommMonoid E]
+
+variable [MulAction 𝕜 E] (S : ConvexCone 𝕜 E)
+
+theorem smul_mem_iff {c : 𝕜} (hc : 0 < c) {x : E} : c • x ∈ S ↔ x ∈ S :=
+  ⟨fun h => inv_smul_smul₀ hc.ne' x ▸ S.smul_mem (inv_pos.2 hc) h, S.smul_mem hc⟩
+#align convex_cone.smul_mem_iff ConvexCone.smul_mem_iff
+
+end MulAction
 
 section OrderedAddCommGroup
 

@@ -36,7 +36,7 @@ We prove two extension theorems:
   then `f` can be extended to the whole space to a linear map `g` such that `g x ≤ N x`
   for all `x`
 
-In `Analysis/Convex/Cone/Dual`, we prove the following theorems:
+In `Mathlib/Analysis/Convex/Cone/Dual.lean`, we prove the following theorems:
 * `ConvexCone.hyperplane_separation_of_nonempty_of_isClosed_of_nmem`:
   This variant of the
   [hyperplane separation theorem](https://en.wikipedia.org/wiki/Hyperplane_separation_theorem)
@@ -59,7 +59,7 @@ While `Convex 𝕜` is a predicate on sets, `ConvexCone 𝕜 E` is a bundled con
 -/
 
 
---assert_not_exists NormedSpace
+assert_not_exists NormedSpace
 
 open Set LinearMap
 
@@ -658,16 +658,16 @@ theorem mem_toCone : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ ∃ y ∈ s,
   simp only [toCone, ConvexCone.mem_mk, mem_iUnion, mem_smul_set, eq_comm, exists_prop]
 #align convex.mem_to_cone Convex.mem_toCone
 
-theorem mem_to_cone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s := by
+theorem mem_toCone' : x ∈ hs.toCone s ↔ ∃ c : 𝕜, 0 < c ∧ c • x ∈ s := by
   refine' hs.mem_toCone.trans ⟨_, _⟩
   · rintro ⟨c, hc, y, hy, rfl⟩
     exact ⟨c⁻¹, inv_pos.2 hc, by rwa [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
   · rintro ⟨c, hc, hcx⟩
     exact ⟨c⁻¹, inv_pos.2 hc, _, hcx, by rw [smul_smul, inv_mul_cancel hc.ne', one_smul]⟩
-#align convex.mem_to_cone' Convex.mem_to_cone'
+#align convex.mem_to_cone' Convex.mem_toCone'
 
 theorem subset_toCone : s ⊆ hs.toCone s := fun x hx =>
-  hs.mem_to_cone'.2 ⟨1, zero_lt_one, by rwa [one_smul]⟩
+  hs.mem_toCone'.2 ⟨1, zero_lt_one, by rwa [one_smul]⟩
 #align convex.subset_to_cone Convex.subset_toCone
 
 /-- `hs.toCone s` is the least cone that includes `s`. -/

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

This has nice performance benefits.

@@ -65,7 +65,7 @@ open Set LinearMap
 
 open Classical Pointwise
 
-variable {𝕜 E F G : Type _}
+variable {𝕜 E F G : Type*}
 
 /-! ### Definition of `ConvexCone` and basic properties -/
 
@@ -154,11 +154,11 @@ theorem mem_sInf {x : E} {S : Set (ConvexCone 𝕜 E)} : x ∈ sInf S ↔ ∀ s
 #align convex_cone.mem_Inf ConvexCone.mem_sInf
 
 @[simp]
-theorem coe_iInf {ι : Sort _} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
+theorem coe_iInf {ι : Sort*} (f : ι → ConvexCone 𝕜 E) : ↑(iInf f) = ⋂ i, (f i : Set E) := by
   simp [iInf]
 #align convex_cone.coe_infi ConvexCone.coe_iInf
 
-theorem mem_iInf {ι : Sort _} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
+theorem mem_iInf {ι : Sort*} {x : E} {f : ι → ConvexCone 𝕜 E} : x ∈ iInf f ↔ ∀ i, x ∈ f i :=
   mem_iInter₂.trans <| by simp
 #align convex_cone.mem_infi ConvexCone.mem_iInf
 

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov, Frédéric Dupuis
-
-! This file was ported from Lean 3 source module analysis.convex.cone.basic
-! leanprover-community/mathlib commit 915591b2bb3ea303648db07284a161a7f2a9e3d4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Convex.Hull
 import Mathlib.Data.Real.Basic
 import Mathlib.LinearAlgebra.LinearPMap
 
+#align_import analysis.convex.cone.basic from "leanprover-community/mathlib"@"915591b2bb3ea303648db07284a161a7f2a9e3d4"
+
 /-!
 # Convex cones
 

Changes are of the form

• some_tactic at h⊢ -> some_tactic at h ⊢
• some_tactic at h -> some_tactic at h

@@ -771,7 +771,7 @@ theorem step (nonneg : ∀ x : f.domain, (x : E) ∈ s → 0 ≤ f x)
       rwa [← mul_le_mul_left (neg_pos.2 hr), neg_mul, neg_mul, neg_le_neg_iff, f.map_smul,
         smul_eq_mul, ← mul_assoc, mul_inv_cancel hr.ne, one_mul] at this
     · subst r
-      simp only [zero_smul, add_zero] at hzs⊢
+      simp only [zero_smul, add_zero] at hzs ⊢
       apply nonneg
       exact hzs
     · have : r⁻¹ • x + y ∈ s := by

@@ -646,7 +646,7 @@ namespace Convex
 
 /-- The set of vectors proportional to those in a convex set forms a convex cone. -/
 def toCone (s : Set E) (hs : Convex 𝕜 s) : ConvexCone 𝕜 E := by
-  apply ConvexCone.mk (⋃ (c : 𝕜) (_H : 0 < c), c • s) <;> simp only [mem_iUnion, mem_smul_set]
+  apply ConvexCone.mk (⋃ (c : 𝕜) (_ : 0 < c), c • s) <;> simp only [mem_iUnion, mem_smul_set]
   · rintro c c_pos _ ⟨c', c'_pos, x, hx, rfl⟩
     exact ⟨c * c', mul_pos c_pos c'_pos, x, hx, (smul_smul _ _ _).symm⟩
   · rintro _ ⟨cx, cx_pos, x, hx, rfl⟩ _ ⟨cy, cy_pos, y, hy, rfl⟩

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>