analysis.convex.combination ⟷ Mathlib.Analysis.Convex.Combination

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

@@ -3,7 +3,7 @@ Copyright (c) 2019 Yury Kudriashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 -/
-import Algebra.BigOperators.Order
+import Algebra.Order.BigOperators.Group.Finset
 import Analysis.Convex.Hull
 import LinearAlgebra.AffineSpace.Basis
 

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

@@ -193,12 +193,12 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
   intro h₀ hpos hmem
   have zi : z i ∈ s := hmem _ (mem_insert_self _ _)
   have hs₀ : ∀ j ∈ t, 0 ≤ w j := fun j hj => h₀ j <| mem_insert_of_mem hj
-  rw [sum_insert hi] at hpos 
+  rw [sum_insert hi] at hpos
   by_cases hsum_t : ∑ j in t, w j = 0
   · have ws : ∀ j ∈ t, w j = 0 := (sum_eq_zero_iff_of_nonneg hs₀).1 hsum_t
     have wz : ∑ j in t, w j • z j = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
     simp only [center_mass, sum_insert hi, wz, hsum_t, add_zero]
-    simp only [hsum_t, add_zero] at hpos 
+    simp only [hsum_t, add_zero] at hpos
     rw [← mul_smul, inv_mul_cancel (ne_of_gt hpos), one_smul]
     exact zi
   · rw [Finset.centerMass_insert _ _ _ hi hsum_t]
@@ -228,14 +228,14 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
   have hfin_w : (support (w ∘ PLift.down)).Finite :=
     by
     by_contra H
-    rw [finsum, dif_neg H] at h₁ 
+    rw [finsum, dif_neg H] at h₁
     exact zero_ne_one h₁
   have hsub : support ((fun i => w i • z i) ∘ PLift.down) ⊆ hfin_w.to_finset :=
     (support_smul_subset_left _ _).trans hfin_w.coe_to_finset.ge
   rw [finsum_eq_sum_plift_of_support_subset hsub]
   refine' hs.sum_mem (fun _ _ => h₀ _) _ fun i hi => hz _ _
-  · rwa [finsum, dif_pos hfin_w] at h₁ 
-  · rwa [hfin_w.mem_to_finset] at hi 
+  · rwa [finsum, dif_pos hfin_w] at h₁
+  · rwa [hfin_w.mem_to_finset] at hi
 #align convex.finsum_mem Convex.finsum_mem
 -/
 
@@ -375,12 +375,12 @@ theorem convexHull_eq (s : Set E) :
     rw [Finset.centerMass_segment' _ _ _ _ _ _ hwx₁ hwy₁ _ _ hab]
     refine' ⟨_, _, _, _, _, _, _, rfl⟩
     · rintro i hi
-      rw [Finset.mem_disjSum] at hi 
+      rw [Finset.mem_disjSum] at hi
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> simp only [Sum.elim_inl, Sum.elim_inr] <;>
         apply_rules [mul_nonneg, hwx₀, hwy₀]
     · simp [Finset.sum_sum_elim, finset.mul_sum.symm, *]
     · intro i hi
-      rw [Finset.mem_disjSum] at hi 
+      rw [Finset.mem_disjSum] at hi
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> apply_rules [hzx, hzy]
   · rintro _ ⟨ι, t, w, z, hw₀, hw₁, hz, rfl⟩
     exact t.center_mass_mem_convex_hull hw₀ (hw₁.symm ▸ zero_lt_one) hz
@@ -395,7 +395,7 @@ theorem Finset.convexHull_eq (s : Finset E) :
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
-    rw [Finset.mem_coe] at hx 
+    rw [Finset.mem_coe] at hx
     refine' ⟨_, _, _, Finset.centerMass_ite_eq _ _ _ hx⟩
     · intros; split_ifs; exacts [zero_le_one, le_refl 0]
     · rw [Finset.sum_ite_eq, if_pos hx]
@@ -471,9 +471,9 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
   refine'
     ⟨ι × κ, a ×ˢ b, fun p => w p.1 * v p.2, fun p => (S p.1, T p.2), fun p hp => _, h_sum,
       fun p hp => _, _⟩
-  · rw [mem_product] at hp 
+  · rw [mem_product] at hp
     exact mul_nonneg (hw p.1 hp.1) (hv p.2 hp.2)
-  · rw [mem_product] at hp 
+  · rw [mem_product] at hp
     exact ⟨hS p.1 hp.1, hT p.2 hp.2⟩
   ext
   · rw [← hSp, Finset.centerMass_eq_of_sum_1 _ _ hw', Finset.centerMass_eq_of_sum_1 _ _ h_sum]
@@ -590,7 +590,7 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) :
       haveI := hs.fintype
       ⇑(∑ x : s, (@LinearMap.proj R s _ (fun i => R) _ _ x).smul_right x.1) '' stdSimplex R s :=
   by
-  rw [← convexHull_basis_eq_stdSimplex, ← LinearMap.convexHull_image, ← Set.range_comp, (· ∘ ·)]
+  rw [← convexHull_basis_eq_stdSimplex, ← LinearMap.image_convexHull, ← Set.range_comp, (· ∘ ·)]
   apply congr_arg
   convert subtype.range_coe.symm
   ext x
@@ -624,7 +624,7 @@ theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι
     refine' ⟨s, w, _, hw₁, rfl⟩
     intro i hi
     specialize hx i
-    rw [b.coord_apply_combination_of_mem hi hw₁] at hx 
+    rw [b.coord_apply_combination_of_mem hi hw₁] at hx
     exact hx
 #align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coord
 -/

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

@@ -165,8 +165,8 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
     (hw₁ : 0 < ∑ i in s, w i) :
     s.centerMass w f ≤ s.sup' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f :=
   by
-  rw [center_mass, inv_smul_le_iff hw₁, sum_smul]
-  exact sum_le_sum fun i hi => smul_le_smul_of_nonneg (le_sup' _ hi) <| hw₀ i hi
+  rw [center_mass, inv_smul_le_iff_of_pos hw₁, sum_smul]
+  exact sum_le_sum fun i hi => smul_le_smul_of_nonneg_left (le_sup' _ hi) <| hw₀ i hi
   infer_instance
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
 -/

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

@@ -3,9 +3,9 @@ Copyright (c) 2019 Yury Kudriashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 -/
-import Mathbin.Algebra.BigOperators.Order
-import Mathbin.Analysis.Convex.Hull
-import Mathbin.LinearAlgebra.AffineSpace.Basis
+import Algebra.BigOperators.Order
+import Analysis.Convex.Hull
+import LinearAlgebra.AffineSpace.Basis
 
 #align_import analysis.convex.combination from "leanprover-community/mathlib"@"92bd7b1ffeb306a89f450bee126ddd8a284c259d"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/001ffdc42920050657fd45bd2b8bfbec8eaaeb29

@@ -232,7 +232,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
     exact zero_ne_one h₁
   have hsub : support ((fun i => w i • z i) ∘ PLift.down) ⊆ hfin_w.to_finset :=
     (support_smul_subset_left _ _).trans hfin_w.coe_to_finset.ge
-  rw [finsum_eq_sum_pLift_of_support_subset hsub]
+  rw [finsum_eq_sum_plift_of_support_subset hsub]
   refine' hs.sum_mem (fun _ _ => h₀ _) _ fun i hi => hz _ _
   · rwa [finsum, dif_pos hfin_w] at h₁ 
   · rwa [hfin_w.mem_to_finset] at hi 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2019 Yury Kudriashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
-
-! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 92bd7b1ffeb306a89f450bee126ddd8a284c259d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.BigOperators.Order
 import Mathbin.Analysis.Convex.Hull
 import Mathbin.LinearAlgebra.AffineSpace.Basis
 
+#align_import analysis.convex.combination from "leanprover-community/mathlib"@"92bd7b1ffeb306a89f450bee126ddd8a284c259d"
+
 /-!
 # Convex combinations
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/bf2428c9486c407ca38b5b3fb10b87dad0bc99fa

@@ -519,6 +519,7 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 
 variable (R E)
 
+#print convexHullAddMonoidHom /-
 /-- `convex_hull` is an additive monoid morphism under pointwise addition. -/
 @[simps]
 def convexHullAddMonoidHom : Set E →+ Set E
@@ -527,6 +528,7 @@ def convexHullAddMonoidHom : Set E →+ Set E
   map_add' := convexHull_add
   map_zero' := convexHull_zero
 #align convex_hull_add_monoid_hom convexHullAddMonoidHom
+-/
 
 variable {R E}
 
@@ -536,19 +538,25 @@ theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - c
 #align convex_hull_sub convexHull_sub
 -/
 
+#print convexHull_list_sum /-
 theorem convexHull_list_sum (l : List (Set E)) : convexHull R l.Sum = (l.map <| convexHull R).Sum :=
   map_list_sum (convexHullAddMonoidHom R E) l
 #align convex_hull_list_sum convexHull_list_sum
+-/
 
+#print convexHull_multiset_sum /-
 theorem convexHull_multiset_sum (s : Multiset (Set E)) :
     convexHull R s.Sum = (s.map <| convexHull R).Sum :=
   map_multiset_sum (convexHullAddMonoidHom R E) s
 #align convex_hull_multiset_sum convexHull_multiset_sum
+-/
 
+#print convexHull_sum /-
 theorem convexHull_sum {ι} (s : Finset ι) (t : ι → Set E) :
     convexHull R (∑ i in s, t i) = ∑ i in s, convexHull R (t i) :=
   map_sum (convexHullAddMonoidHom R E) _ _
 #align convex_hull_sum convexHull_sum
+-/
 
 /-! ### `std_simplex` -/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/b01d6eb9d0a308807af54319b264d0994b91774b

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 
 ! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
+! leanprover-community/mathlib commit 92bd7b1ffeb306a89f450bee126ddd8a284c259d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -517,12 +517,39 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 #align convex_hull_add convexHull_add
 -/
 
+variable (R E)
+
+/-- `convex_hull` is an additive monoid morphism under pointwise addition. -/
+@[simps]
+def convexHullAddMonoidHom : Set E →+ Set E
+    where
+  toFun := convexHull R
+  map_add' := convexHull_add
+  map_zero' := convexHull_zero
+#align convex_hull_add_monoid_hom convexHullAddMonoidHom
+
+variable {R E}
+
 #print convexHull_sub /-
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
 #align convex_hull_sub convexHull_sub
 -/
 
+theorem convexHull_list_sum (l : List (Set E)) : convexHull R l.Sum = (l.map <| convexHull R).Sum :=
+  map_list_sum (convexHullAddMonoidHom R E) l
+#align convex_hull_list_sum convexHull_list_sum
+
+theorem convexHull_multiset_sum (s : Multiset (Set E)) :
+    convexHull R s.Sum = (s.map <| convexHull R).Sum :=
+  map_multiset_sum (convexHullAddMonoidHom R E) s
+#align convex_hull_multiset_sum convexHull_multiset_sum
+
+theorem convexHull_sum {ι} (s : Finset ι) (t : ι → Set E) :
+    convexHull R (∑ i in s, t i) = ∑ i in s, convexHull R (t i) :=
+  map_sum (convexHullAddMonoidHom R E) _ _
+#align convex_hull_sum convexHull_sum
+
 /-! ### `std_simplex` -/
 
 

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

@@ -53,17 +53,22 @@ variable (i j : ι) (c : R) (t : Finset ι) (w : ι → R) (z : ι → E)
 
 open Finset
 
+#print Finset.centerMass_empty /-
 theorem Finset.centerMass_empty : (∅ : Finset ι).centerMass w z = 0 := by
   simp only [center_mass, sum_empty, smul_zero]
 #align finset.center_mass_empty Finset.centerMass_empty
+-/
 
+#print Finset.centerMass_pair /-
 theorem Finset.centerMass_pair (hne : i ≠ j) :
     ({i, j} : Finset ι).centerMass w z = (w i / (w i + w j)) • z i + (w j / (w i + w j)) • z j := by
   simp only [center_mass, sum_pair hne, smul_add, (mul_smul _ _ _).symm, div_eq_inv_mul]
 #align finset.center_mass_pair Finset.centerMass_pair
+-/
 
 variable {w}
 
+#print Finset.centerMass_insert /-
 theorem Finset.centerMass_insert (ha : i ∉ t) (hw : ∑ j in t, w j ≠ 0) :
     (insert i t).centerMass w z =
       (w i / (w i + ∑ j in t, w j)) • z i +
@@ -73,20 +78,28 @@ theorem Finset.centerMass_insert (ha : i ∉ t) (hw : ∑ j in t, w j ≠ 0) :
   congr 2
   rw [div_mul_eq_mul_div, mul_inv_cancel hw, one_div]
 #align finset.center_mass_insert Finset.centerMass_insert
+-/
 
+#print Finset.centerMass_singleton /-
 theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerMass w z = z i := by
   rw [center_mass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
+-/
 
+#print Finset.centerMass_eq_of_sum_1 /-
 theorem Finset.centerMass_eq_of_sum_1 (hw : ∑ i in t, w i = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
+-/
 
+#print Finset.centerMass_smul /-
 theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.centerMass w z := by
   simp only [Finset.centerMass, Finset.smul_sum, (mul_smul _ _ _).symm, mul_comm c, mul_assoc]
 #align finset.center_mass_smul Finset.centerMass_smul
+-/
 
+#print Finset.centerMass_segment' /-
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
@@ -100,7 +113,9 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
   · congr with ⟨⟩ <;> simp only [Sum.elim_inl, Sum.elim_inr, mul_smul]
   · rw [sum_sum_elim, ← mul_sum, ← mul_sum, hws, hwt, mul_one, mul_one, hab]
 #align finset.center_mass_segment' Finset.centerMass_segment'
+-/
 
+#print Finset.centerMass_segment /-
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
@@ -111,7 +126,9 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
     simp only [mul_sum.symm, sum_add_distrib, mul_one, *]
   simp only [Finset.centerMass_eq_of_sum_1, smul_sum, sum_add_distrib, add_smul, mul_smul, *]
 #align finset.center_mass_segment Finset.centerMass_segment
+-/
 
+#print Finset.centerMass_ite_eq /-
 theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
     t.centerMass (fun j => if i = j then (1 : R) else 0) z = z i :=
   by
@@ -121,9 +138,11 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
   · rw [sum_ite_eq, if_pos hi]
   · rw [sum_ite_eq, if_pos hi]
 #align finset.center_mass_ite_eq Finset.centerMass_ite_eq
+-/
 
 variable {t w}
 
+#print Finset.centerMass_subset /-
 theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈ t', i ∉ t → w i = 0) :
     t.centerMass w z = t'.centerMass w z :=
   by
@@ -132,15 +151,19 @@ theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈
   intro i hit' hit
   rw [h i hit' hit, zero_smul, smul_zero]
 #align finset.center_mass_subset Finset.centerMass_subset
+-/
 
+#print Finset.centerMass_filter_ne_zero /-
 theorem Finset.centerMass_filter_ne_zero :
     (t.filterₓ fun i => w i ≠ 0).centerMass w z = t.centerMass w z :=
   Finset.centerMass_subset z (filter_subset _ _) fun i hit hit' => by
     simpa only [hit, mem_filter, true_and_iff, Ne.def, Classical.not_not] using hit'
 #align finset.center_mass_filter_ne_zero Finset.centerMass_filter_ne_zero
+-/
 
 namespace Finset
 
+#print Finset.centerMass_le_sup /-
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.centerMass w f ≤ s.sup' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f :=
@@ -149,17 +172,21 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
   exact sum_le_sum fun i hi => smul_le_smul_of_nonneg (le_sup' _ hi) <| hw₀ i hi
   infer_instance
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
+-/
 
+#print Finset.inf_le_centerMass /-
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.inf' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f ≤ s.centerMass w f :=
   @centerMass_le_sup R _ αᵒᵈ _ _ _ _ _ _ _ hw₀ hw₁
 #align finset.inf_le_center_mass Finset.inf_le_centerMass
+-/
 
 end Finset
 
 variable {z}
 
+#print Convex.centerMass_mem /-
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
@@ -183,13 +210,17 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
     · intro j hj; exact hmem j (mem_insert_of_mem hj)
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
+-/
 
+#print Convex.sum_mem /-
 theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : ∑ i in t, w i = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : ∑ i in t, w i • z i ∈ s := by
   simpa only [h₁, center_mass, inv_one, one_smul] using
     hs.center_mass_mem h₀ (h₁.symm ▸ zero_lt_one) hz
 #align convex.sum_mem Convex.sum_mem
+-/
 
+#print Convex.finsum_mem /-
 /-- A version of `convex.sum_mem` for `finsum`s. If `s` is a convex set, `w : ι → R` is a family of
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
 that `z i ∈ s` whenever `w i ≠ 0``, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
@@ -209,7 +240,9 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
   · rwa [finsum, dif_pos hfin_w] at h₁ 
   · rwa [hfin_w.mem_to_finset] at hi 
 #align convex.finsum_mem Convex.finsum_mem
+-/
 
+#print convex_iff_sum_mem /-
 theorem convex_iff_sum_mem :
     Convex R s ↔
       ∀ (t : Finset E) (w : E → R),
@@ -227,20 +260,26 @@ theorem convex_iff_sum_mem :
     · simp_intro i hi
       cases hi <;> subst i <;> simp [hx, hy, if_neg h_cases]
 #align convex_iff_sum_mem convex_iff_sum_mem
+-/
 
+#print Finset.centerMass_mem_convexHull /-
 theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
     (hws : 0 < ∑ i in t, w i) {z : ι → E} (hz : ∀ i ∈ t, z i ∈ s) :
     t.centerMass w z ∈ convexHull R s :=
   (convex_convexHull R s).centerMass_mem hw₀ hws fun i hi => subset_convexHull R s <| hz i hi
 #align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHull
+-/
 
+#print Finset.centerMass_id_mem_convexHull /-
 /-- A refinement of `finset.center_mass_mem_convex_hull` when the indexed family is a `finset` of
 the space. -/
 theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
     (hws : 0 < ∑ i in t, w i) : t.centerMass w id ∈ convexHull R (t : Set E) :=
   t.centerMass_mem_convexHull hw₀ hws fun i => mem_coe.2
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
+-/
 
+#print affineCombination_eq_centerMass /-
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : ∑ i in t, w i = 1) : t.affineCombination R p w = centerMass t w p :=
   by
@@ -248,7 +287,9 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
     Finset.weightedVSubOfPoint_apply, vadd_eq_add, add_zero, t.center_mass_eq_of_sum_1 _ hw₂]
   simp_rw [vsub_eq_sub, sub_zero]
 #align affine_combination_eq_center_mass affineCombination_eq_centerMass
+-/
 
+#print affineCombination_mem_convexHull /-
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
     s.affineCombination R v w ∈ convexHull R (range v) :=
@@ -258,6 +299,7 @@ theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι
   · simp [hw₁]
   · simp
 #align affine_combination_mem_convex_hull affineCombination_mem_convexHull
+-/
 
 #print Finset.centroid_eq_centerMass /-
 /-- The centroid can be regarded as a center of mass. -/
@@ -281,6 +323,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 #align finset.centroid_mem_convex_hull Finset.centroid_mem_convexHull
 -/
 
+#print convexHull_range_eq_exists_affineCombination /-
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
       {x |
@@ -314,7 +357,9 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
   · rintro x ⟨s, w, hw₀, hw₁, rfl⟩
     exact affineCombination_mem_convexHull hw₀ hw₁
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
+-/
 
+#print convexHull_eq /-
 /-- Convex hull of `s` is equal to the set of all centers of masses of `finset`s `t`, `z '' t ⊆ s`.
 This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) :
@@ -343,7 +388,9 @@ theorem convexHull_eq (s : Set E) :
   · rintro _ ⟨ι, t, w, z, hw₀, hw₁, hz, rfl⟩
     exact t.center_mass_mem_convex_hull hw₀ (hw₁.symm ▸ zero_lt_one) hz
 #align convex_hull_eq convexHull_eq
+-/
 
+#print Finset.convexHull_eq /-
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
       {x : E |
@@ -365,13 +412,17 @@ theorem Finset.convexHull_eq (s : Finset E) :
     exact
       s.center_mass_mem_convex_hull (fun x hx => hw₀ _ hx) (hw₁.symm ▸ zero_lt_one) fun x hx => hx
 #align finset.convex_hull_eq Finset.convexHull_eq
+-/
 
+#print Finset.mem_convexHull /-
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
       ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : ∑ y in s, w y = 1), s.centerMass w id = x :=
   by rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
+-/
 
+#print Set.Finite.convexHull_eq /-
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
       {x : E |
@@ -381,6 +432,7 @@ theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
     hs.to_finset.convex_hull_eq
 #align set.finite.convex_hull_eq Set.Finite.convexHull_eq
+-/
 
 #print convexHull_eq_union_convexHull_finite_subsets /-
 /-- A weak version of Carathéodory's theorem. -/
@@ -404,6 +456,7 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print mk_mem_convexHull_prod /-
 theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHull R s)
     (hy : y ∈ convexHull R t) : (x, y) ∈ convexHull R (s ×ˢ t) :=
   by
@@ -442,9 +495,11 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     simp_rw [mul_smul]
     rw [← Finset.sum_smul, hw', one_smul]
 #align mk_mem_convex_hull_prod mk_mem_convexHull_prod
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print convexHull_prod /-
 @[simp]
 theorem convexHull_prod (s : Set E) (t : Set F) :
     convexHull R (s ×ˢ t) = convexHull R s ×ˢ convexHull R t :=
@@ -453,21 +508,27 @@ theorem convexHull_prod (s : Set E) (t : Set F) :
         (convex_convexHull _ _).Prod <| convex_convexHull _ _) <|
     prod_subset_iff.2 fun x hx y => mk_mem_convexHull_prod hx
 #align convex_hull_prod convexHull_prod
+-/
 
+#print convexHull_add /-
 theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + convexHull R t := by
   simp_rw [← image2_add, ← image_prod, is_linear_map.is_linear_map_add.convex_hull_image,
     convexHull_prod]
 #align convex_hull_add convexHull_add
+-/
 
+#print convexHull_sub /-
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
 #align convex_hull_sub convexHull_sub
+-/
 
 /-! ### `std_simplex` -/
 
 
 variable (ι) [Fintype ι] {f : ι → R}
 
+#print convexHull_basis_eq_stdSimplex /-
 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
     convexHull R (range fun i j : ι => if i = j then (1 : R) else 0) = stdSimplex R ι :=
@@ -481,9 +542,11 @@ theorem convexHull_basis_eq_stdSimplex :
       finset.univ.center_mass_mem_convex_hull (fun i hi => hw₀ i) (hw₁.symm ▸ zero_lt_one)
         fun i hi => mem_range_self i
 #align convex_hull_basis_eq_std_simplex convexHull_basis_eq_stdSimplex
+-/
 
 variable {ι}
 
+#print Set.Finite.convexHull_eq_image /-
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.
 
@@ -501,12 +564,16 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) :
   ext x
   simp [LinearMap.sum_apply, ite_smul, Finset.filter_eq]
 #align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_image
+-/
 
+#print mem_Icc_of_mem_stdSimplex /-
 /-- All values of a function `f ∈ std_simplex 𝕜 ι` belong to `[0, 1]`. -/
 theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc (0 : R) 1 :=
   ⟨hf.1 x, hf.2 ▸ Finset.single_le_sum (fun y hy => hf.1 y) (Finset.mem_univ x)⟩
 #align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplex
+-/
 
+#print AffineBasis.convexHull_eq_nonneg_coord /-
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/
 theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι R E) :
@@ -528,4 +595,5 @@ theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι
     rw [b.coord_apply_combination_of_mem hi hw₁] at hx 
     exact hx
 #align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coord
+-/
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

@@ -64,7 +64,7 @@ theorem Finset.centerMass_pair (hne : i ≠ j) :
 
 variable {w}
 
-theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
+theorem Finset.centerMass_insert (ha : i ∉ t) (hw : ∑ j in t, w j ≠ 0) :
     (insert i t).centerMass w z =
       (w i / (w i + ∑ j in t, w j)) • z i +
         ((∑ j in t, w j) / (w i + ∑ j in t, w j)) • t.centerMass w z :=
@@ -78,7 +78,7 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
   rw [center_mass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
 
-theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
+theorem Finset.centerMass_eq_of_sum_1 (hw : ∑ i in t, w i = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
@@ -90,7 +90,7 @@ theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.c
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
-    (wt : ι' → R) (zt : ι' → E) (hws : (∑ i in s, ws i) = 1) (hwt : (∑ i in t, wt i) = 1) (a b : R)
+    (wt : ι' → R) (zt : ι' → E) (hws : ∑ i in s, ws i = 1) (hwt : ∑ i in t, wt i = 1) (a b : R)
     (hab : a + b = 1) :
     a • s.centerMass ws zs + b • t.centerMass wt zt =
       (s.disjSum t).centerMass (Sum.elim (fun i => a * ws i) fun j => b * wt j) (Sum.elim zs zt) :=
@@ -104,10 +104,10 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
-    (hw₁ : (∑ i in s, w₁ i) = 1) (hw₂ : (∑ i in s, w₂ i) = 1) (a b : R) (hab : a + b = 1) :
+    (hw₁ : ∑ i in s, w₁ i = 1) (hw₂ : ∑ i in s, w₂ i = 1) (a b : R) (hab : a + b = 1) :
     a • s.centerMass w₁ z + b • s.centerMass w₂ z = s.centerMass (fun i => a * w₁ i + b * w₂ i) z :=
   by
-  have hw : (∑ i in s, a * w₁ i + b * w₂ i) = 1 := by
+  have hw : ∑ i in s, (a * w₁ i + b * w₂ i) = 1 := by
     simp only [mul_sum.symm, sum_add_distrib, mul_one, *]
   simp only [Finset.centerMass_eq_of_sum_1, smul_sum, sum_add_distrib, add_smul, mul_smul, *]
 #align finset.center_mass_segment Finset.centerMass_segment
@@ -163,16 +163,16 @@ variable {z}
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
-    (∀ i ∈ t, 0 ≤ w i) → (0 < ∑ i in t, w i) → (∀ i ∈ t, z i ∈ s) → t.centerMass w z ∈ s :=
+    (∀ i ∈ t, 0 ≤ w i) → 0 < ∑ i in t, w i → (∀ i ∈ t, z i ∈ s) → t.centerMass w z ∈ s :=
   by
   induction' t using Finset.induction with i t hi ht; · simp [lt_irrefl]
   intro h₀ hpos hmem
   have zi : z i ∈ s := hmem _ (mem_insert_self _ _)
   have hs₀ : ∀ j ∈ t, 0 ≤ w j := fun j hj => h₀ j <| mem_insert_of_mem hj
   rw [sum_insert hi] at hpos 
-  by_cases hsum_t : (∑ j in t, w j) = 0
+  by_cases hsum_t : ∑ j in t, w j = 0
   · have ws : ∀ j ∈ t, w j = 0 := (sum_eq_zero_iff_of_nonneg hs₀).1 hsum_t
-    have wz : (∑ j in t, w j • z j) = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
+    have wz : ∑ j in t, w j • z j = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
     simp only [center_mass, sum_insert hi, wz, hsum_t, add_zero]
     simp only [hsum_t, add_zero] at hpos 
     rw [← mul_smul, inv_mul_cancel (ne_of_gt hpos), one_smul]
@@ -184,8 +184,8 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
 
-theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
-    (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
+theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : ∑ i in t, w i = 1)
+    (hz : ∀ i ∈ t, z i ∈ s) : ∑ i in t, w i • z i ∈ s := by
   simpa only [h₁, center_mass, inv_one, one_smul] using
     hs.center_mass_mem h₀ (h₁.symm ▸ zero_lt_one) hz
 #align convex.sum_mem Convex.sum_mem
@@ -195,8 +195,7 @@ nonnegative weights with sum one and `z : ι → E` is a family of elements of a
 that `z i ∈ s` whenever `w i ≠ 0``, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
 `partition_of_unity.finsum_smul_mem_convex`. -/
 theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E} (hs : Convex R s)
-    (h₀ : ∀ i, 0 ≤ w i) (h₁ : (∑ᶠ i, w i) = 1) (hz : ∀ i, w i ≠ 0 → z i ∈ s) :
-    (∑ᶠ i, w i • z i) ∈ s :=
+    (h₀ : ∀ i, 0 ≤ w i) (h₁ : ∑ᶠ i, w i = 1) (hz : ∀ i, w i ≠ 0 → z i ∈ s) : ∑ᶠ i, w i • z i ∈ s :=
   by
   have hfin_w : (support (w ∘ PLift.down)).Finite :=
     by
@@ -214,7 +213,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
 theorem convex_iff_sum_mem :
     Convex R s ↔
       ∀ (t : Finset E) (w : E → R),
-        (∀ i ∈ t, 0 ≤ w i) → (∑ i in t, w i) = 1 → (∀ x ∈ t, x ∈ s) → (∑ x in t, w x • x) ∈ s :=
+        (∀ i ∈ t, 0 ≤ w i) → ∑ i in t, w i = 1 → (∀ x ∈ t, x ∈ s) → ∑ x in t, w x • x ∈ s :=
   by
   refine' ⟨fun hs t w hw₀ hw₁ hts => hs.sum_mem hw₀ hw₁ hts, _⟩
   intro h x hx y hy a b ha hb hab
@@ -243,7 +242,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
-    (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
+    (hw₂ : ∑ i in t, w i = 1) : t.affineCombination R p w = centerMass t w p :=
   by
   rw [affine_combination_eq_weighted_vsub_of_point_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),
     Finset.weightedVSubOfPoint_apply, vadd_eq_add, add_zero, t.center_mass_eq_of_sum_1 _ hw₂]
@@ -322,7 +321,7 @@ theorem convexHull_eq (s : Set E) :
     convexHull R s =
       {x : E |
         ∃ (ι : Type u') (t : Finset ι) (w : ι → R) (z : ι → E) (hw₀ : ∀ i ∈ t, 0 ≤ w i) (hw₁ :
-          (∑ i in t, w i) = 1) (hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x} :=
+          ∑ i in t, w i = 1) (hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x} :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -348,8 +347,7 @@ theorem convexHull_eq (s : Set E) :
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
       {x : E |
-        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in s, w y) = 1),
-          s.centerMass w id = x} :=
+        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : ∑ y in s, w y = 1), s.centerMass w id = x} :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -370,14 +368,14 @@ theorem Finset.convexHull_eq (s : Finset E) :
 
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
-      ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x :=
+      ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : ∑ y in s, w y = 1), s.centerMass w id = x :=
   by rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
       {x : E |
-        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in hs.toFinset, w y) = 1),
+        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : ∑ y in hs.toFinset, w y = 1),
           hs.toFinset.centerMass w id = x} :=
   by
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
@@ -412,12 +410,12 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
   rw [convexHull_eq] at hx hy ⊢
   obtain ⟨ι, a, w, S, hw, hw', hS, hSp⟩ := hx
   obtain ⟨κ, b, v, T, hv, hv', hT, hTp⟩ := hy
-  have h_sum : (∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd) = 1 :=
+  have h_sum : ∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd = 1 :=
     by
     rw [Finset.sum_product, ← hw']
     congr
     ext i
-    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i := by congr; ext; simp [mul_comm]
+    have : ∑ y : κ in b, w i * v y = ∑ y : κ in b, v y * w i := by congr; ext; simp [mul_comm]
     rw [this, ← Finset.sum_mul, hv']
     simp
   refine'
@@ -433,7 +431,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [Finset.sum_product]
     congr
     ext i
-    have : (∑ j : κ in b, (w i * v j) • S i) = ∑ j : κ in b, v j • w i • S i := by congr; ext;
+    have : ∑ j : κ in b, (w i * v j) • S i = ∑ j : κ in b, v j • w i • S i := by congr; ext;
       rw [mul_smul, smul_comm]
     rw [this, ← Finset.sum_smul, hv', one_smul]
   · rw [← hTp, Finset.centerMass_eq_of_sum_1 _ _ hv', Finset.centerMass_eq_of_sum_1 _ _ h_sum]

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

@@ -284,9 +284,9 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
-      { x |
+      {x |
         ∃ (s : Finset ι) (w : ι → R) (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1),
-          s.affineCombination R v w = x } :=
+          s.affineCombination R v w = x} :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -320,9 +320,9 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
 This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) :
     convexHull R s =
-      { x : E |
+      {x : E |
         ∃ (ι : Type u') (t : Finset ι) (w : ι → R) (z : ι → E) (hw₀ : ∀ i ∈ t, 0 ≤ w i) (hw₁ :
-          (∑ i in t, w i) = 1) (hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } :=
+          (∑ i in t, w i) = 1) (hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x} :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -347,9 +347,9 @@ theorem convexHull_eq (s : Set E) :
 
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
-      { x : E |
+      {x : E |
         ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in s, w y) = 1),
-          s.centerMass w id = x } :=
+          s.centerMass w id = x} :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -376,9 +376,9 @@ theorem Finset.mem_convexHull {s : Finset E} {x : E} :
 
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
-      { x : E |
+      {x : E |
         ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in hs.toFinset, w y) = 1),
-          hs.toFinset.centerMass w id = x } :=
+          hs.toFinset.centerMass w id = x} :=
   by
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
     hs.to_finset.convex_hull_eq
@@ -512,7 +512,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/
 theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι R E) :
-    convexHull R (range b) = { x | ∀ i, 0 ≤ b.Coord i x } :=
+    convexHull R (range b) = {x | ∀ i, 0 ≤ b.Coord i x} :=
   by
   rw [convexHull_range_eq_exists_affineCombination]
   ext x

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

@@ -117,7 +117,7 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
   by
   rw [Finset.centerMass_eq_of_sum_1]
   trans ∑ j in t, if i = j then z i else 0
-  · congr with i; split_ifs; exacts[h ▸ one_smul _ _, zero_smul _ _]
+  · congr with i; split_ifs; exacts [h ▸ one_smul _ _, zero_smul _ _]
   · rw [sum_ite_eq, if_pos hi]
   · rw [sum_ite_eq, if_pos hi]
 #align finset.center_mass_ite_eq Finset.centerMass_ite_eq
@@ -169,12 +169,12 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
   intro h₀ hpos hmem
   have zi : z i ∈ s := hmem _ (mem_insert_self _ _)
   have hs₀ : ∀ j ∈ t, 0 ≤ w j := fun j hj => h₀ j <| mem_insert_of_mem hj
-  rw [sum_insert hi] at hpos
+  rw [sum_insert hi] at hpos 
   by_cases hsum_t : (∑ j in t, w j) = 0
   · have ws : ∀ j ∈ t, w j = 0 := (sum_eq_zero_iff_of_nonneg hs₀).1 hsum_t
     have wz : (∑ j in t, w j • z j) = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
     simp only [center_mass, sum_insert hi, wz, hsum_t, add_zero]
-    simp only [hsum_t, add_zero] at hpos
+    simp only [hsum_t, add_zero] at hpos 
     rw [← mul_smul, inv_mul_cancel (ne_of_gt hpos), one_smul]
     exact zi
   · rw [Finset.centerMass_insert _ _ _ hi hsum_t]
@@ -201,14 +201,14 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
   have hfin_w : (support (w ∘ PLift.down)).Finite :=
     by
     by_contra H
-    rw [finsum, dif_neg H] at h₁
+    rw [finsum, dif_neg H] at h₁ 
     exact zero_ne_one h₁
   have hsub : support ((fun i => w i • z i) ∘ PLift.down) ⊆ hfin_w.to_finset :=
     (support_smul_subset_left _ _).trans hfin_w.coe_to_finset.ge
   rw [finsum_eq_sum_pLift_of_support_subset hsub]
   refine' hs.sum_mem (fun _ _ => h₀ _) _ fun i hi => hz _ _
-  · rwa [finsum, dif_pos hfin_w] at h₁
-  · rwa [hfin_w.mem_to_finset] at hi
+  · rwa [finsum, dif_pos hfin_w] at h₁ 
+  · rwa [hfin_w.mem_to_finset] at hi 
 #align convex.finsum_mem Convex.finsum_mem
 
 theorem convex_iff_sum_mem :
@@ -285,7 +285,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
       { x |
-        ∃ (s : Finset ι)(w : ι → R)(hw₀ : ∀ i ∈ s, 0 ≤ w i)(hw₁ : s.Sum w = 1),
+        ∃ (s : Finset ι) (w : ι → R) (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1),
           s.affineCombination R v w = x } :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
@@ -321,8 +321,8 @@ This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) :
     convexHull R s =
       { x : E |
-        ∃ (ι : Type u')(t : Finset ι)(w : ι → R)(z : ι → E)(hw₀ : ∀ i ∈ t, 0 ≤ w i)(hw₁ :
-          (∑ i in t, w i) = 1)(hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } :=
+        ∃ (ι : Type u') (t : Finset ι) (w : ι → R) (z : ι → E) (hw₀ : ∀ i ∈ t, 0 ≤ w i) (hw₁ :
+          (∑ i in t, w i) = 1) (hz : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -334,12 +334,12 @@ theorem convexHull_eq (s : Set E) :
     rw [Finset.centerMass_segment' _ _ _ _ _ _ hwx₁ hwy₁ _ _ hab]
     refine' ⟨_, _, _, _, _, _, _, rfl⟩
     · rintro i hi
-      rw [Finset.mem_disjSum] at hi
+      rw [Finset.mem_disjSum] at hi 
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> simp only [Sum.elim_inl, Sum.elim_inr] <;>
         apply_rules [mul_nonneg, hwx₀, hwy₀]
     · simp [Finset.sum_sum_elim, finset.mul_sum.symm, *]
     · intro i hi
-      rw [Finset.mem_disjSum] at hi
+      rw [Finset.mem_disjSum] at hi 
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> apply_rules [hzx, hzy]
   · rintro _ ⟨ι, t, w, z, hw₀, hw₁, hz, rfl⟩
     exact t.center_mass_mem_convex_hull hw₀ (hw₁.symm ▸ zero_lt_one) hz
@@ -348,13 +348,14 @@ theorem convexHull_eq (s : Set E) :
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
       { x : E |
-        ∃ (w : E → R)(hw₀ : ∀ y ∈ s, 0 ≤ w y)(hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x } :=
+        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in s, w y) = 1),
+          s.centerMass w id = x } :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx
-    rw [Finset.mem_coe] at hx
+    rw [Finset.mem_coe] at hx 
     refine' ⟨_, _, _, Finset.centerMass_ite_eq _ _ _ hx⟩
-    · intros ; split_ifs; exacts[zero_le_one, le_refl 0]
+    · intros; split_ifs; exacts [zero_le_one, le_refl 0]
     · rw [Finset.sum_ite_eq, if_pos hx]
   · rintro x ⟨wx, hwx₀, hwx₁, rfl⟩ y ⟨wy, hwy₀, hwy₁, rfl⟩ a b ha hb hab
     rw [Finset.centerMass_segment _ _ _ _ hwx₁ hwy₁ _ _ hab]
@@ -369,14 +370,14 @@ theorem Finset.convexHull_eq (s : Finset E) :
 
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
-      ∃ (w : E → R)(hw₀ : ∀ y ∈ s, 0 ≤ w y)(hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x :=
+      ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x :=
   by rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
       { x : E |
-        ∃ (w : E → R)(hw₀ : ∀ y ∈ s, 0 ≤ w y)(hw₁ : (∑ y in hs.toFinset, w y) = 1),
+        ∃ (w : E → R) (hw₀ : ∀ y ∈ s, 0 ≤ w y) (hw₁ : (∑ y in hs.toFinset, w y) = 1),
           hs.toFinset.centerMass w id = x } :=
   by
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
@@ -408,7 +409,7 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
 theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHull R s)
     (hy : y ∈ convexHull R t) : (x, y) ∈ convexHull R (s ×ˢ t) :=
   by
-  rw [convexHull_eq] at hx hy⊢
+  rw [convexHull_eq] at hx hy ⊢
   obtain ⟨ι, a, w, S, hw, hw', hS, hSp⟩ := hx
   obtain ⟨κ, b, v, T, hv, hv', hT, hTp⟩ := hy
   have h_sum : (∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd) = 1 :=
@@ -416,15 +417,15 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [Finset.sum_product, ← hw']
     congr
     ext i
-    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i := by congr ; ext; simp [mul_comm]
+    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i := by congr; ext; simp [mul_comm]
     rw [this, ← Finset.sum_mul, hv']
     simp
   refine'
     ⟨ι × κ, a ×ˢ b, fun p => w p.1 * v p.2, fun p => (S p.1, T p.2), fun p hp => _, h_sum,
       fun p hp => _, _⟩
-  · rw [mem_product] at hp
+  · rw [mem_product] at hp 
     exact mul_nonneg (hw p.1 hp.1) (hv p.2 hp.2)
-  · rw [mem_product] at hp
+  · rw [mem_product] at hp 
     exact ⟨hS p.1 hp.1, hT p.2 hp.2⟩
   ext
   · rw [← hSp, Finset.centerMass_eq_of_sum_1 _ _ hw', Finset.centerMass_eq_of_sum_1 _ _ h_sum]
@@ -432,7 +433,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [Finset.sum_product]
     congr
     ext i
-    have : (∑ j : κ in b, (w i * v j) • S i) = ∑ j : κ in b, v j • w i • S i := by congr ; ext;
+    have : (∑ j : κ in b, (w i * v j) • S i) = ∑ j : κ in b, v j • w i • S i := by congr; ext;
       rw [mul_smul, smul_comm]
     rw [this, ← Finset.sum_smul, hv', one_smul]
   · rw [← hTp, Finset.centerMass_eq_of_sum_1 _ _ hv', Finset.centerMass_eq_of_sum_1 _ _ h_sum]
@@ -526,7 +527,7 @@ theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι
     refine' ⟨s, w, _, hw₁, rfl⟩
     intro i hi
     specialize hx i
-    rw [b.coord_apply_combination_of_mem hi hw₁] at hx
+    rw [b.coord_apply_combination_of_mem hi hw₁] at hx 
     exact hx
 #align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coord
 

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

@@ -34,7 +34,7 @@ lemmas unconditional on the sum of the weights being `1`.
 
 open Set Function
 
-open BigOperators Classical Pointwise
+open scoped BigOperators Classical Pointwise
 
 universe u u'
 

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

@@ -53,19 +53,10 @@ variable (i j : ι) (c : R) (t : Finset ι) (w : ι → R) (z : ι → E)
 
 open Finset
 
-/- warning: finset.center_mass_empty -> Finset.centerMass_empty is a dubious translation:
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-but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (w : ι -> R) (z : ι -> E), Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} ι) (Finset.instEmptyCollectionFinset.{u1} ι)) w z) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_empty Finset.centerMass_emptyₓ'. -/
 theorem Finset.centerMass_empty : (∅ : Finset ι).centerMass w z = 0 := by
   simp only [center_mass, sum_empty, smul_zero]
 #align finset.center_mass_empty Finset.centerMass_empty
 
-/- warning: finset.center_mass_pair -> Finset.centerMass_pair is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_pair Finset.centerMass_pairₓ'. -/
 theorem Finset.centerMass_pair (hne : i ≠ j) :
     ({i, j} : Finset ι).centerMass w z = (w i / (w i + w j)) • z i + (w j / (w i + w j)) • z j := by
   simp only [center_mass, sum_pair hne, smul_add, (mul_smul _ _ _).symm, div_eq_inv_mul]
@@ -73,9 +64,6 @@ theorem Finset.centerMass_pair (hne : i ≠ j) :
 
 variable {w}
 
-/- warning: finset.center_mass_insert -> Finset.centerMass_insert is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_insert Finset.centerMass_insertₓ'. -/
 theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
     (insert i t).centerMass w z =
       (w i / (w i + ∑ j in t, w j)) • z i +
@@ -86,37 +74,19 @@ theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
   rw [div_mul_eq_mul_div, mul_inv_cancel hw, one_div]
 #align finset.center_mass_insert Finset.centerMass_insert
 
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-Case conversion may be inaccurate. Consider using '#align finset.center_mass_singleton Finset.centerMass_singletonₓ'. -/
 theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerMass w z = z i := by
   rw [center_mass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
 
-/- warning: finset.center_mass_eq_of_sum_1 -> Finset.centerMass_eq_of_sum_1 is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1ₓ'. -/
 theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
 
-/- warning: finset.center_mass_smul -> Finset.centerMass_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_smul Finset.centerMass_smulₓ'. -/
 theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.centerMass w z := by
   simp only [Finset.centerMass, Finset.smul_sum, (mul_smul _ _ _).symm, mul_comm c, mul_assoc]
 #align finset.center_mass_smul Finset.centerMass_smul
 
-/- warning: finset.center_mass_segment' -> Finset.centerMass_segment' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment' Finset.centerMass_segment'ₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
@@ -131,9 +101,6 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
   · rw [sum_sum_elim, ← mul_sum, ← mul_sum, hws, hwt, mul_one, mul_one, hab]
 #align finset.center_mass_segment' Finset.centerMass_segment'
 
-/- warning: finset.center_mass_segment -> Finset.centerMass_segment is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment Finset.centerMass_segmentₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
@@ -145,12 +112,6 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
   simp only [Finset.centerMass_eq_of_sum_1, smul_sum, sum_add_distrib, add_smul, mul_smul, *]
 #align finset.center_mass_segment Finset.centerMass_segment
 
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 theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
     t.centerMass (fun j => if i = j then (1 : R) else 0) z = z i :=
   by
@@ -163,12 +124,6 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
 
 variable {t w}
 
-/- warning: finset.center_mass_subset -> Finset.centerMass_subset is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align finset.center_mass_subset Finset.centerMass_subsetₓ'. -/
 theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈ t', i ∉ t → w i = 0) :
     t.centerMass w z = t'.centerMass w z :=
   by
@@ -178,9 +133,6 @@ theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈
   rw [h i hit' hit, zero_smul, smul_zero]
 #align finset.center_mass_subset Finset.centerMass_subset
 
-/- warning: finset.center_mass_filter_ne_zero -> Finset.centerMass_filter_ne_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_filter_ne_zero Finset.centerMass_filter_ne_zeroₓ'. -/
 theorem Finset.centerMass_filter_ne_zero :
     (t.filterₓ fun i => w i ≠ 0).centerMass w z = t.centerMass w z :=
   Finset.centerMass_subset z (filter_subset _ _) fun i hit hit' => by
@@ -189,9 +141,6 @@ theorem Finset.centerMass_filter_ne_zero :
 
 namespace Finset
 
-/- warning: finset.center_mass_le_sup -> Finset.centerMass_le_sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.center_mass_le_sup Finset.centerMass_le_supₓ'. -/
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.centerMass w f ≤ s.sup' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f :=
@@ -201,9 +150,6 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
   infer_instance
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
 
-/- warning: finset.inf_le_center_mass -> Finset.inf_le_centerMass is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.inf_le_center_mass Finset.inf_le_centerMassₓ'. -/
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.inf' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f ≤ s.centerMass w f :=
@@ -214,12 +160,6 @@ end Finset
 
 variable {z}
 
-/- warning: convex.center_mass_mem -> Convex.centerMass_mem is a dubious translation:
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-  forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (LT.lt.{u3} R (Preorder.toLT.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.centerMass.{u3, u2, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
-Case conversion may be inaccurate. Consider using '#align convex.center_mass_mem Convex.centerMass_memₓ'. -/
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
@@ -244,18 +184,12 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
 
-/- warning: convex.sum_mem -> Convex.sum_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex.sum_mem Convex.sum_memₓ'. -/
 theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
   simpa only [h₁, center_mass, inv_one, one_smul] using
     hs.center_mass_mem h₀ (h₁.symm ▸ zero_lt_one) hz
 #align convex.sum_mem Convex.sum_mem
 
-/- warning: convex.finsum_mem -> Convex.finsum_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex.finsum_mem Convex.finsum_memₓ'. -/
 /-- A version of `convex.sum_mem` for `finsum`s. If `s` is a convex set, `w : ι → R` is a family of
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
 that `z i ∈ s` whenever `w i ≠ 0``, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
@@ -277,9 +211,6 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
   · rwa [hfin_w.mem_to_finset] at hi
 #align convex.finsum_mem Convex.finsum_mem
 
-/- warning: convex_iff_sum_mem -> convex_iff_sum_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_iff_sum_mem convex_iff_sum_memₓ'. -/
 theorem convex_iff_sum_mem :
     Convex R s ↔
       ∀ (t : Finset E) (w : E → R),
@@ -298,24 +229,12 @@ theorem convex_iff_sum_mem :
       cases hi <;> subst i <;> simp [hx, hy, if_neg h_cases]
 #align convex_iff_sum_mem convex_iff_sum_mem
 
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-Case conversion may be inaccurate. Consider using '#align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHullₓ'. -/
 theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
     (hws : 0 < ∑ i in t, w i) {z : ι → E} (hz : ∀ i ∈ t, z i ∈ s) :
     t.centerMass w z ∈ convexHull R s :=
   (convex_convexHull R s).centerMass_mem hw₀ hws fun i hi => subset_convexHull R s <| hz i hi
 #align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHull
 
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-Case conversion may be inaccurate. Consider using '#align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHullₓ'. -/
 /-- A refinement of `finset.center_mass_mem_convex_hull` when the indexed family is a `finset` of
 the space. -/
 theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
@@ -323,9 +242,6 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
   t.centerMass_mem_convexHull hw₀ hws fun i => mem_coe.2
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
-/- warning: affine_combination_eq_center_mass -> affineCombination_eq_centerMass is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
   by
@@ -334,9 +250,6 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
   simp_rw [vsub_eq_sub, sub_zero]
 #align affine_combination_eq_center_mass affineCombination_eq_centerMass
 
-/- warning: affine_combination_mem_convex_hull -> affineCombination_mem_convexHull is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
     s.affineCombination R v w ∈ convexHull R (range v) :=
@@ -369,9 +282,6 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 #align finset.centroid_mem_convex_hull Finset.centroid_mem_convexHull
 -/
 
-/- warning: convex_hull_range_eq_exists_affine_combination -> convexHull_range_eq_exists_affineCombination is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
       { x |
@@ -406,9 +316,6 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     exact affineCombination_mem_convexHull hw₀ hw₁
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
 
-/- warning: convex_hull_eq -> convexHull_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_eq convexHull_eqₓ'. -/
 /-- Convex hull of `s` is equal to the set of all centers of masses of `finset`s `t`, `z '' t ⊆ s`.
 This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) :
@@ -438,9 +345,6 @@ theorem convexHull_eq (s : Set E) :
     exact t.center_mass_mem_convex_hull hw₀ (hw₁.symm ▸ zero_lt_one) hz
 #align convex_hull_eq convexHull_eq
 
-/- warning: finset.convex_hull_eq -> Finset.convexHull_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.convex_hull_eq Finset.convexHull_eqₓ'. -/
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
       { x : E |
@@ -463,18 +367,12 @@ theorem Finset.convexHull_eq (s : Finset E) :
       s.center_mass_mem_convex_hull (fun x hx => hw₀ _ hx) (hw₁.symm ▸ zero_lt_one) fun x hx => hx
 #align finset.convex_hull_eq Finset.convexHull_eq
 
-/- warning: finset.mem_convex_hull -> Finset.mem_convexHull is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align finset.mem_convex_hull Finset.mem_convexHullₓ'. -/
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
       ∃ (w : E → R)(hw₀ : ∀ y ∈ s, 0 ≤ w y)(hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x :=
   by rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
-/- warning: set.finite.convex_hull_eq -> Set.Finite.convexHull_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq Set.Finite.convexHull_eqₓ'. -/
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
       { x : E |
@@ -504,9 +402,6 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
 #align convex_hull_eq_union_convex_hull_finite_subsets convexHull_eq_union_convexHull_finite_subsets
 -/
 
-/- warning: mk_mem_convex_hull_prod -> mk_mem_convexHull_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align mk_mem_convex_hull_prod mk_mem_convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -549,9 +444,6 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [← Finset.sum_smul, hw', one_smul]
 #align mk_mem_convex_hull_prod mk_mem_convexHull_prod
 
-/- warning: convex_hull_prod -> convexHull_prod is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_prod convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
@@ -563,17 +455,11 @@ theorem convexHull_prod (s : Set E) (t : Set F) :
     prod_subset_iff.2 fun x hx y => mk_mem_convexHull_prod hx
 #align convex_hull_prod convexHull_prod
 
-/- warning: convex_hull_add -> convexHull_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_add convexHull_addₓ'. -/
 theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + convexHull R t := by
   simp_rw [← image2_add, ← image_prod, is_linear_map.is_linear_map_add.convex_hull_image,
     convexHull_prod]
 #align convex_hull_add convexHull_add
 
-/- warning: convex_hull_sub -> convexHull_sub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align convex_hull_sub convexHull_subₓ'. -/
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
 #align convex_hull_sub convexHull_sub
@@ -583,12 +469,6 @@ theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - c
 
 variable (ι) [Fintype ι] {f : ι → R}
 
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 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
     convexHull R (range fun i j : ι => if i = j then (1 : R) else 0) = stdSimplex R ι :=
@@ -605,9 +485,6 @@ theorem convexHull_basis_eq_stdSimplex :
 
 variable {ι}
 
-/- warning: set.finite.convex_hull_eq_image -> Set.Finite.convexHull_eq_image is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.
 
@@ -626,20 +503,11 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) :
   simp [LinearMap.sum_apply, ite_smul, Finset.filter_eq]
 #align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_image
 
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-Case conversion may be inaccurate. Consider using '#align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplexₓ'. -/
 /-- All values of a function `f ∈ std_simplex 𝕜 ι` belong to `[0, 1]`. -/
 theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc (0 : R) 1 :=
   ⟨hf.1 x, hf.2 ▸ Finset.single_le_sum (fun y hy => hf.1 y) (Finset.mem_univ x)⟩
 #align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplex
 
-/- warning: affine_basis.convex_hull_eq_nonneg_coord -> AffineBasis.convexHull_eq_nonneg_coord is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/
 theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι R E) :

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

@@ -156,9 +156,7 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
   by
   rw [Finset.centerMass_eq_of_sum_1]
   trans ∑ j in t, if i = j then z i else 0
-  · congr with i
-    split_ifs
-    exacts[h ▸ one_smul _ _, zero_smul _ _]
+  · congr with i; split_ifs; exacts[h ▸ one_smul _ _, zero_smul _ _]
   · rw [sum_ite_eq, if_pos hi]
   · rw [sum_ite_eq, if_pos hi]
 #align finset.center_mass_ite_eq Finset.centerMass_ite_eq
@@ -196,12 +194,7 @@ namespace Finset
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_le_sup Finset.centerMass_le_supₓ'. -/
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
-    s.centerMass w f ≤
-      s.sup'
-        (nonempty_of_ne_empty <| by
-          rintro rfl
-          simpa using hw₁)
-        f :=
+    s.centerMass w f ≤ s.sup' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f :=
   by
   rw [center_mass, inv_smul_le_iff hw₁, sum_smul]
   exact sum_le_sum fun i hi => smul_le_smul_of_nonneg (le_sup' _ hi) <| hw₀ i hi
@@ -213,12 +206,7 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
 Case conversion may be inaccurate. Consider using '#align finset.inf_le_center_mass Finset.inf_le_centerMassₓ'. -/
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
-    s.inf'
-        (nonempty_of_ne_empty <| by
-          rintro rfl
-          simpa using hw₁)
-        f ≤
-      s.centerMass w f :=
+    s.inf' (nonempty_of_ne_empty <| by rintro rfl; simpa using hw₁) f ≤ s.centerMass w f :=
   @centerMass_le_sup R _ αᵒᵈ _ _ _ _ _ _ _ hw₀ hw₁
 #align finset.inf_le_center_mass Finset.inf_le_centerMass
 
@@ -237,8 +225,7 @@ provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
     (∀ i ∈ t, 0 ≤ w i) → (0 < ∑ i in t, w i) → (∀ i ∈ t, z i ∈ s) → t.centerMass w z ∈ s :=
   by
-  induction' t using Finset.induction with i t hi ht
-  · simp [lt_irrefl]
+  induction' t using Finset.induction with i t hi ht; · simp [lt_irrefl]
   intro h₀ hpos hmem
   have zi : z i ∈ s := hmem _ (mem_insert_self _ _)
   have hs₀ : ∀ j ∈ t, 0 ≤ w j := fun j hj => h₀ j <| mem_insert_of_mem hj
@@ -253,8 +240,7 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
   · rw [Finset.centerMass_insert _ _ _ hi hsum_t]
     refine' convex_iff_div.1 hs zi (ht hs₀ _ _) _ (sum_nonneg hs₀) hpos
     · exact lt_of_le_of_ne (sum_nonneg hs₀) (Ne.symm hsum_t)
-    · intro j hj
-      exact hmem j (mem_insert_of_mem hj)
+    · intro j hj; exact hmem j (mem_insert_of_mem hj)
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
 
@@ -302,8 +288,7 @@ theorem convex_iff_sum_mem :
   refine' ⟨fun hs t w hw₀ hw₁ hts => hs.sum_mem hw₀ hw₁ hts, _⟩
   intro h x hx y hy a b ha hb hab
   by_cases h_cases : x = y
-  · rw [h_cases, ← add_smul, hab, one_smul]
-    exact hy
+  · rw [h_cases, ← add_smul, hab, one_smul]; exact hy
   · convert h {x, y} (fun z => if z = y then b else a) _ _ _
     · simp only [sum_pair h_cases, if_neg h_cases, if_pos rfl]
     · simp_intro i hi
@@ -415,10 +400,8 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
         affine_combination_eq_linear_combination s' v w' hw₁', add_smul, sum_add_distrib]
       rw [← sum_subset (subset_union_left s s'), ← sum_subset (subset_union_right s s')]
       · simp only [ite_smul, sum_ite_of_true _ _ fun i hi => hi, mul_smul, ← smul_sum]
-      · intro i hi hi'
-        simp [hi']
-      · intro i hi hi'
-        simp [hi']
+      · intro i hi hi'; simp [hi']
+      · intro i hi hi'; simp [hi']
   · rintro x ⟨s, w, hw₀, hw₁, rfl⟩
     exact affineCombination_mem_convexHull hw₀ hw₁
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
@@ -467,9 +450,7 @@ theorem Finset.convexHull_eq (s : Finset E) :
   · intro x hx
     rw [Finset.mem_coe] at hx
     refine' ⟨_, _, _, Finset.centerMass_ite_eq _ _ _ hx⟩
-    · intros
-      split_ifs
-      exacts[zero_le_one, le_refl 0]
+    · intros ; split_ifs; exacts[zero_le_one, le_refl 0]
     · rw [Finset.sum_ite_eq, if_pos hx]
   · rintro x ⟨wx, hwx₀, hwx₁, rfl⟩ y ⟨wy, hwy₀, hwy₁, rfl⟩ a b ha hb hab
     rw [Finset.centerMass_segment _ _ _ _ hwx₁ hwy₁ _ _ hab]
@@ -540,11 +521,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [Finset.sum_product, ← hw']
     congr
     ext i
-    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i :=
-      by
-      congr
-      ext
-      simp [mul_comm]
+    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i := by congr ; ext; simp [mul_comm]
     rw [this, ← Finset.sum_mul, hv']
     simp
   refine'
@@ -560,10 +537,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [Finset.sum_product]
     congr
     ext i
-    have : (∑ j : κ in b, (w i * v j) • S i) = ∑ j : κ in b, v j • w i • S i :=
-      by
-      congr
-      ext
+    have : (∑ j : κ in b, (w i * v j) • S i) = ∑ j : κ in b, v j • w i • S i := by congr ; ext;
       rw [mul_smul, smul_comm]
     rw [this, ← Finset.sum_smul, hv', one_smul]
   · rw [← hTp, Finset.centerMass_eq_of_sum_1 _ _ hv', Finset.centerMass_eq_of_sum_1 _ _ h_sum]
@@ -679,9 +653,7 @@ theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι
     · rw [b.coord_apply_combination_of_mem hi hw₁]
       exact hw₀ i hi
     · rw [b.coord_apply_combination_of_not_mem hi hw₁]
-  · have hx' : x ∈ affineSpan R (range b) := by
-      rw [b.tot]
-      exact AffineSubspace.mem_top R E x
+  · have hx' : x ∈ affineSpan R (range b) := by rw [b.tot]; exact AffineSubspace.mem_top R E x
     obtain ⟨s, w, hw₁, rfl⟩ := (mem_affineSpan_iff_eq_affineCombination R E).mp hx'
     refine' ⟨s, w, _, hw₁, rfl⟩
     intro i hi

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

@@ -64,10 +64,7 @@ theorem Finset.centerMass_empty : (∅ : Finset ι).centerMass w z = 0 := by
 #align finset.center_mass_empty Finset.centerMass_empty
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_pair Finset.centerMass_pairₓ'. -/
 theorem Finset.centerMass_pair (hne : i ≠ j) :
     ({i, j} : Finset ι).centerMass w z = (w i / (w i + w j)) • z i + (w j / (w i + w j)) • z j := by
@@ -77,10 +74,7 @@ theorem Finset.centerMass_pair (hne : i ≠ j) :
 variable {w}
 
 /- warning: finset.center_mass_insert -> Finset.centerMass_insert is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_insert Finset.centerMass_insertₓ'. -/
 theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
     (insert i t).centerMass w z =
@@ -114,20 +108,14 @@ theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_smul Finset.centerMass_smulₓ'. -/
 theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.centerMass w z := by
   simp only [Finset.centerMass, Finset.smul_sum, (mul_smul _ _ _).symm, mul_comm c, mul_assoc]
 #align finset.center_mass_smul Finset.centerMass_smul
 
 /- warning: finset.center_mass_segment' -> Finset.centerMass_segment' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment' Finset.centerMass_segment'ₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
@@ -144,10 +132,7 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
 #align finset.center_mass_segment' Finset.centerMass_segment'
 
 /- warning: finset.center_mass_segment -> Finset.centerMass_segment is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment Finset.centerMass_segmentₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
@@ -196,10 +181,7 @@ theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈
 #align finset.center_mass_subset Finset.centerMass_subset
 
 /- warning: finset.center_mass_filter_ne_zero -> Finset.centerMass_filter_ne_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_filter_ne_zero Finset.centerMass_filter_ne_zeroₓ'. -/
 theorem Finset.centerMass_filter_ne_zero :
     (t.filterₓ fun i => w i ≠ 0).centerMass w z = t.centerMass w z :=
@@ -210,10 +192,7 @@ theorem Finset.centerMass_filter_ne_zero :
 namespace Finset
 
 /- warning: finset.center_mass_le_sup -> Finset.centerMass_le_sup is a dubious translation:
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α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toHasLe.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u3, u2} α ι (Lattice.toSemilatticeSup.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f)
-but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u1, u3} α ι (Lattice.toSemilatticeSup.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053) hw₀ hw₁)) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_le_sup Finset.centerMass_le_supₓ'. -/
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
@@ -230,10 +209,7 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
 
 /- warning: finset.inf_le_center_mass -> Finset.inf_le_centerMass is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toHasLe.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.inf'.{u3, u2} α ι (Lattice.toSemilatticeInf.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f)
-but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.inf'.{u1, u3} α ι (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214) hw₀ hw₁)) f) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.inf_le_center_mass Finset.inf_le_centerMassₓ'. -/
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
@@ -283,10 +259,7 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
 #align convex.center_mass_mem Convex.centerMass_mem
 
 /- warning: convex.sum_mem -> Convex.sum_mem is a dubious translation:
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R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex.sum_mem Convex.sum_memₓ'. -/
 theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
@@ -295,10 +268,7 @@ theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ :
 #align convex.sum_mem Convex.sum_mem
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex.finsum_mem Convex.finsum_memₓ'. -/
 /-- A version of `convex.sum_mem` for `finsum`s. If `s` is a convex set, `w : ι → R` is a family of
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
@@ -322,10 +292,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
 #align convex.finsum_mem Convex.finsum_mem
 
 /- warning: convex_iff_sum_mem -> convex_iff_sum_mem is a dubious translation:
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(OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u1} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R 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(LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w x) x)) s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_iff_sum_mem convex_iff_sum_memₓ'. -/
 theorem convex_iff_sum_mem :
     Convex R s ↔
@@ -372,10 +339,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
@@ -386,10 +350,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 #align affine_combination_eq_center_mass affineCombination_eq_centerMass
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
@@ -424,10 +385,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 -/
 
 /- warning: convex_hull_range_eq_exists_affine_combination -> convexHull_range_eq_exists_affineCombination is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
@@ -466,10 +424,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
 
 /- warning: convex_hull_eq -> convexHull_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_hull_eq convexHull_eqₓ'. -/
 /-- Convex hull of `s` is equal to the set of all centers of masses of `finset`s `t`, `z '' t ⊆ s`.
 This version allows finsets in any type in any universe. -/
@@ -501,10 +456,7 @@ theorem convexHull_eq (s : Set E) :
 #align convex_hull_eq convexHull_eq
 
 /- warning: finset.convex_hull_eq -> Finset.convexHull_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.convex_hull_eq Finset.convexHull_eqₓ'. -/
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
@@ -531,10 +483,7 @@ theorem Finset.convexHull_eq (s : Finset E) :
 #align finset.convex_hull_eq Finset.convexHull_eq
 
 /- warning: finset.mem_convex_hull -> Finset.mem_convexHull is a dubious translation:
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x))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.mem_convex_hull Finset.mem_convexHullₓ'. -/
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
@@ -543,10 +492,7 @@ theorem Finset.mem_convexHull {s : Finset E} {x : E} :
 #align finset.mem_convex_hull Finset.mem_convexHull
 
 /- warning: set.finite.convex_hull_eq -> Set.Finite.convexHull_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq Set.Finite.convexHull_eqₓ'. -/
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
@@ -578,10 +524,7 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
 -/
 
 /- warning: mk_mem_convex_hull_prod -> mk_mem_convexHull_prod is a dubious translation:
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(AddCommGroup.toAddCommMonoid.{u3} F _inst_3)) (Prod.module.{u1, u2, u3} R E F (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_5 _inst_6)) (Set.prod.{u2, u3} E F s t)))
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-  forall {R : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_6 : Module.{u1, u3} R F (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)] {s : Set.{u2} E} {t : Set.{u3} F} {x : E} {y : F}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s)) -> (Membership.mem.{u3, u3} F (Set.{u3} F) (Set.instMembershipSet.{u3} F) y (OrderHom.toFun.{u3, u3} (Set.{u3} F) (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (convexHull.{u1, u3} R F (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_6)) t)) -> (Membership.mem.{max u3 u2, max u3 u2} (Prod.{u2, u3} E F) (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instMembershipSet.{max u2 u3} (Prod.{u2, u3} E F)) (Prod.mk.{u2, u3} E F x y) (OrderHom.toFun.{max u3 u2, max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.{max u3 u2} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (ClosureOperator.toOrderHom.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (convexHull.{u1, max u3 u2} R (Prod.{u2, u3} E F) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)) (Prod.module.{u1, u2, u3} R E F (OrderedSemiring.toSemiring.{u1} R (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_5 _inst_6))) (Set.prod.{u2, u3} E F s t)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mk_mem_convex_hull_prod mk_mem_convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -633,10 +576,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
 #align mk_mem_convex_hull_prod mk_mem_convexHull_prod
 
 /- warning: convex_hull_prod -> convexHull_prod is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_hull_prod convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -650,10 +590,7 @@ theorem convexHull_prod (s : Set E) (t : Set F) :
 #align convex_hull_prod convexHull_prod
 
 /- warning: convex_hull_add -> convexHull_add is a dubious translation:
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E _inst_2) _inst_5)) t))
+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_hull_add convexHull_addₓ'. -/
 theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + convexHull R t := by
   simp_rw [← image2_add, ← image_prod, is_linear_map.is_linear_map_add.convex_hull_image,
@@ -661,10 +598,7 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 #align convex_hull_add convexHull_add
 
 /- warning: convex_hull_sub -> convexHull_sub is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align convex_hull_sub convexHull_subₓ'. -/
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
@@ -698,10 +632,7 @@ theorem convexHull_basis_eq_stdSimplex :
 variable {ι}
 
 /- warning: set.finite.convex_hull_eq_image -> Set.Finite.convexHull_eq_image is a dubious translation:
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(Set.Finite.fintype.{u2} E s hs)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.
@@ -733,10 +664,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 #align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplex
 
 /- warning: affine_basis.convex_hull_eq_nonneg_coord -> AffineBasis.convexHull_eq_nonneg_coord is a dubious translation:
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_inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => E -> R) (AffineMap.hasCoeToFun.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AffineBasis.coord.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5 b i) x)))
-but is expected to have type
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(CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun 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(a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/

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

@@ -701,7 +701,7 @@ variable {ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) _inst_5 (IsScalarTower.left.{u1, u2} R E (Ring.toMonoid.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (StrictOrderedRing.toOrderedAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedRing.toStrictOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedCommRing.toLinearOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedField.toLinearOrderedCommRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) _inst_1)))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (LinearMap.addCommMonoid.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (LinearMap.addCommMonoid.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.

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

@@ -701,7 +701,7 @@ variable {ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) 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(x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (LinearMap.addCommMonoid.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (LinearMap.addCommMonoid.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.

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

@@ -375,7 +375,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι t p) w) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
@@ -389,7 +389,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
@@ -427,7 +427,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
@@ -679,7 +679,7 @@ variable (ι) [Fintype ι] {f : ι → R}
 lean 3 declaration is
   forall {R : Type.{u1}} (ι : Type.{u2}) [_inst_1 : LinearOrderedField.{u1} R] [_inst_9 : Fintype.{u2} ι], Eq.{succ (max u2 u1)} (Set.{max u2 u1} (ι -> R)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (fun (_x : ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) => (Set.{max u2 u1} (ι -> R)) -> (Set.{max u2 u1} (ι -> R))) (ClosureOperator.hasCoeToFun.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (convexHull.{u1, max u2 u1} R (ι -> R) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} ι (fun (j : ι) => R) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.Function.module.{u2, u1, u1} ι R R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Semiring.toModule.{u1} R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (Set.range.{max u2 u1, succ u2} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u1} R (Eq.{succ u2} ι i j) (Classical.propDecidable (Eq.{succ u2} ι i j)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) (stdSimplex.{u1, u2} R ι (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_9)
 but is expected to have type
-  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
+  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => Semiring.toModule.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
 Case conversion may be inaccurate. Consider using '#align convex_hull_basis_eq_std_simplex convexHull_basis_eq_stdSimplexₓ'. -/
 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
@@ -701,7 +701,7 @@ variable {ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (Set.image.{max u2 u1, u2} (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (coeFn.{succ (max u2 u1), max (succ (max u2 u1)) (succ u2)} (LinearMap.{u1, u1, max u2 u1, u2} R R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (Pi.addCommMonoid.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) 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(x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (LinearMap.addCommMonoid.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.
@@ -736,7 +736,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) (fun (_x : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u2), succ u3, succ u2} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) ι (fun (_x : ι) => E) (AffineBasis.funLike.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5)) b))) (setOf.{u2} E (fun (x : E) => forall (i : ι), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (_x : AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => E -> R) (AffineMap.hasCoeToFun.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AffineBasis.coord.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5 b i) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
 Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/

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

@@ -211,7 +211,7 @@ namespace Finset
 
 /- warning: finset.center_mass_le_sup -> Finset.centerMass_le_sup is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toLE.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u3, u2} α ι (Lattice.toSemilatticeSup.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f)
+  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toHasLe.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u3, u2} α ι (Lattice.toSemilatticeSup.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f)
 but is expected to have type
   forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u1, u3} α ι (Lattice.toSemilatticeSup.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053) hw₀ hw₁)) f)
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_le_sup Finset.centerMass_le_supₓ'. -/
@@ -231,7 +231,7 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
 
 /- warning: finset.inf_le_center_mass -> Finset.inf_le_centerMass is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toLE.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.inf'.{u3, u2} α ι (Lattice.toSemilatticeInf.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f)
+  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toHasLe.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.inf'.{u3, u2} α ι (Lattice.toSemilatticeInf.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f)
 but is expected to have type
   forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.inf'.{u1, u3} α ι (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214) hw₀ hw₁)) f) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f)
 Case conversion may be inaccurate. Consider using '#align finset.inf_le_center_mass Finset.inf_le_centerMassₓ'. -/
@@ -252,7 +252,7 @@ variable {z}
 
 /- warning: convex.center_mass_mem -> Convex.centerMass_mem is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
 but is expected to have type
   forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (LT.lt.{u3} R (Preorder.toLT.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.centerMass.{u3, u2, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
 Case conversion may be inaccurate. Consider using '#align convex.center_mass_mem Convex.centerMass_memₓ'. -/
@@ -284,7 +284,7 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
 
 /- warning: convex.sum_mem -> Convex.sum_mem is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
 but is expected to have type
   forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (Eq.{succ u3} R (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} R E E (instHSMul.{u3, u2} R E (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
 Case conversion may be inaccurate. Consider using '#align convex.sum_mem Convex.sum_memₓ'. -/
@@ -296,7 +296,7 @@ theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ :
 
 /- warning: convex.finsum_mem -> Convex.finsum_mem is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => HSMul.hSMul.{u1, u2, u2} R E E (instHSMul.{u1, u2} R E (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
 Case conversion may be inaccurate. Consider using '#align convex.finsum_mem Convex.finsum_memₓ'. -/
@@ -323,7 +323,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
 
 /- warning: convex_iff_sum_mem -> convex_iff_sum_mem is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E}, Iff (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u2} E) (w : E -> R), (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) x t) -> (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) (Finset.sum.{u2, u2} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (x : E) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w x) x)) s))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E}, Iff (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u2} E) (w : E -> R), (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) x t) -> (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) (Finset.sum.{u2, u2} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (x : E) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w x) x)) s))
 but is expected to have type
   forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E}, Iff (Convex.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u1} E) (w : E -> R), (forall (i : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u1} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (forall (x : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) x t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.sum.{u1, u1} E E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (x : E) => HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w x) x)) s))
 Case conversion may be inaccurate. Consider using '#align convex_iff_sum_mem convex_iff_sum_memₓ'. -/
@@ -348,7 +348,7 @@ theorem convex_iff_sum_mem :
 
 /- warning: finset.center_mass_mem_convex_hull -> Finset.centerMass_mem_convexHull is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (t : Finset.{u3} ι) {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall {z : ι -> E}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s)))
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (t : Finset.{u3} ι) {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall {z : ι -> E}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s)))
 but is expected to have type
   forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E} (t : Finset.{u3} ι) {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall {z : ι -> E}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (z i) s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) s)))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHullₓ'. -/
@@ -360,7 +360,7 @@ theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ :
 
 /- warning: finset.center_mass_id_mem_convex_hull -> Finset.centerMass_id_mem_convexHull is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u2} E) {w : E -> R}, (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 t w (id.{succ u2} E)) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) t)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u2} E) {w : E -> R}, (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 t w (id.{succ u2} E)) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) t)))
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u2} E) {w : E -> R}, (forall (i : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : E) => w i))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 t w (id.{succ u2} E)) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E t)))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHullₓ'. -/
@@ -387,7 +387,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 
 /- warning: affine_combination_mem_convex_hull -> affineCombination_mem_convexHull is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
 but is expected to have type
   forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
@@ -425,7 +425,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 
 /- warning: convex_hull_range_eq_exists_affine_combination -> convexHull_range_eq_exists_affineCombination is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
 but is expected to have type
   forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
@@ -467,7 +467,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
 
 /- warning: convex_hull_eq -> convexHull_eq is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u2}} {E : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (s : Set.{u3} E), Eq.{succ u3} (Set.{u3} E) (coeFn.{succ u3, succ u3} (ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (fun (_x : ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) => (Set.{u3} E) -> (Set.{u3} E)) (ClosureOperator.hasCoeToFun.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (convexHull.{u2, u3} R E (StrictOrderedSemiring.toOrderedSemiring.{u2} R (StrictOrderedRing.toStrictOrderedSemiring.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5) s) (setOf.{u3} E (fun (x : E) => Exists.{succ (succ u1)} Type.{u1} (fun (ι : Type.{u1}) => Exists.{succ u1} (Finset.{u1} ι) (fun (t : Finset.{u1} ι) => Exists.{max (succ u1) (succ u2)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u1) (succ u3)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) => Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
+  forall {R : Type.{u2}} {E : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (s : Set.{u3} E), Eq.{succ u3} (Set.{u3} E) (coeFn.{succ u3, succ u3} (ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (fun (_x : ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) => (Set.{u3} E) -> (Set.{u3} E)) (ClosureOperator.hasCoeToFun.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (convexHull.{u2, u3} R E (StrictOrderedSemiring.toOrderedSemiring.{u2} R (StrictOrderedRing.toStrictOrderedSemiring.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5) s) (setOf.{u3} E (fun (x : E) => Exists.{succ (succ u1)} Type.{u1} (fun (ι : Type.{u1}) => Exists.{succ u1} (Finset.{u1} ι) (fun (t : Finset.{u1} ι) => Exists.{max (succ u1) (succ u2)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u1) (succ u3)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toHasLe.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toHasLe.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) => Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{succ (succ u3)} Type.{u3} (fun (ι : Type.{u3}) => Exists.{succ u3} (Finset.{u3} ι) (fun (t : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u3) (succ u2)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_eq convexHull_eqₓ'. -/
@@ -502,7 +502,7 @@ theorem convexHull_eq (s : Set E) :
 
 /- warning: finset.convex_hull_eq -> Finset.convexHull_eq is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
 Case conversion may be inaccurate. Consider using '#align finset.convex_hull_eq Finset.convexHull_eqₓ'. -/
@@ -532,7 +532,7 @@ theorem Finset.convexHull_eq (s : Finset E) :
 
 /- warning: finset.mem_convex_hull -> Finset.mem_convexHull is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s))) (Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s))) (Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s))) (Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
 Case conversion may be inaccurate. Consider using '#align finset.mem_convex_hull Finset.mem_convexHullₓ'. -/
@@ -544,7 +544,7 @@ theorem Finset.mem_convexHull {s : Finset E} {x : E} :
 
 /- warning: set.finite.convex_hull_eq -> Set.Finite.convexHull_eq is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
 but is expected to have type
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq Set.Finite.convexHull_eqₓ'. -/
@@ -734,7 +734,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 
 /- warning: affine_basis.convex_hull_eq_nonneg_coord -> AffineBasis.convexHull_eq_nonneg_coord is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) (fun (_x : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u2), succ u3, succ u2} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) ι (fun (_x : ι) => E) (AffineBasis.funLike.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5)) b))) (setOf.{u2} E (fun (x : E) => forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (_x : AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => E -> R) (AffineMap.hasCoeToFun.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AffineBasis.coord.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5 b i) x)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) (fun (_x : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u2), succ u3, succ u2} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) ι (fun (_x : ι) => E) (AffineBasis.funLike.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5)) b))) (setOf.{u2} E (fun (x : E) => forall (i : ι), LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (_x : AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => E -> R) (AffineMap.hasCoeToFun.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AffineBasis.coord.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5 b i) x)))
 but is expected to have type
   forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
 Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/

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

@@ -375,7 +375,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι t p) w) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
@@ -389,7 +389,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
@@ -427,7 +427,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3598 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
@@ -679,7 +679,7 @@ variable (ι) [Fintype ι] {f : ι → R}
 lean 3 declaration is
   forall {R : Type.{u1}} (ι : Type.{u2}) [_inst_1 : LinearOrderedField.{u1} R] [_inst_9 : Fintype.{u2} ι], Eq.{succ (max u2 u1)} (Set.{max u2 u1} (ι -> R)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (fun (_x : ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) => (Set.{max u2 u1} (ι -> R)) -> (Set.{max u2 u1} (ι -> R))) (ClosureOperator.hasCoeToFun.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (convexHull.{u1, max u2 u1} R (ι -> R) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} ι (fun (j : ι) => R) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.Function.module.{u2, u1, u1} ι R R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Semiring.toModule.{u1} R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (Set.range.{max u2 u1, succ u2} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u1} R (Eq.{succ u2} ι i j) (Classical.propDecidable (Eq.{succ u2} ι i j)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) (stdSimplex.{u1, u2} R ι (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_9)
 but is expected to have type
-  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => Semiring.toModule.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
+  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
 Case conversion may be inaccurate. Consider using '#align convex_hull_basis_eq_std_simplex convexHull_basis_eq_stdSimplexₓ'. -/
 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
@@ -701,7 +701,7 @@ variable {ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (Set.image.{max u2 u1, u2} (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (coeFn.{succ (max u2 u1), max (succ (max u2 u1)) (succ u2)} (LinearMap.{u1, u1, max u2 u1, u2} R R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (Pi.addCommMonoid.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (StrictOrderedRing.toOrderedAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedRing.toStrictOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedCommRing.toLinearOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedField.toLinearOrderedCommRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) _inst_1)))))) i)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (StrictOrderedRing.toOrderedAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedRing.toStrictOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedCommRing.toLinearOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedField.toLinearOrderedCommRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) _inst_1)))))) i) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) i)) _inst_5) (fun (_x : LinearMap.{u1, u1, max u2 u1, u2} R R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (Pi.addCommMonoid.{u2, u1} (coeSort.{succ u2, succ (succ u2)} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) _inst_5 (IsScalarTower.left.{u1, u2} R E (Ring.toMonoid.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (StrictOrderedRing.toOrderedAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedRing.toStrictOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedCommRing.toLinearOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedField.toLinearOrderedCommRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) _inst_1)))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : 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_inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun 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(LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.

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

@@ -106,7 +106,7 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u3} ι) {w : ι -> R} (z : ι -> E), (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))))
 but is expected to have type
-  forall {R : Type.{u3}} {E : Type.{u1}} {ι : Type.{u2}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (t : Finset.{u2} ι) {w : ι -> R} (z : ι -> E), (Eq.{succ u3} R (Finset.sum.{u3, u2} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (NonAssocRing.toOne.{u3} R (Ring.toNonAssocRing.{u3} R (StrictOrderedRing.toRing.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1))))))))) -> (Eq.{succ u1} E (Finset.centerMass.{u3, u1, u2} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.sum.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R E E (instHSMul.{u3, u1} R E (SMulZeroClass.toSMul.{u3, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w i) (z i))))
+  forall {R : Type.{u3}} {E : Type.{u1}} {ι : Type.{u2}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (t : Finset.{u2} ι) {w : ι -> R} (z : ι -> E), (Eq.{succ u3} R (Finset.sum.{u3, u2} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))))) -> (Eq.{succ u1} E (Finset.centerMass.{u3, u1, u2} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.sum.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R E E (instHSMul.{u3, u1} R E (SMulZeroClass.toSMul.{u3, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w i) (z i))))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1ₓ'. -/
 theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
@@ -127,7 +127,7 @@ theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.c
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} {ι' : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u3} ι) (t : Finset.{u4} ι') (ws : ι -> R) (zs : ι -> E) (wt : ι' -> R) (zt : ι' -> E), (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => ws i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u1} R (Finset.sum.{u1, u4} R ι' (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι') => wt i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (a : R) (b : R), (Eq.{succ u1} R (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a b) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) a (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s ws zs)) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) b (Finset.centerMass.{u1, u2, u4} R E ι' _inst_1 _inst_2 _inst_5 t wt zt))) (Finset.centerMass.{u1, u2, max u3 u4} R E (Sum.{u3, u4} ι ι') _inst_1 _inst_2 _inst_5 (Finset.disjSum.{u3, u4} ι ι' s t) (Sum.elim.{u3, u4, succ u1} ι ι' R (fun (i : ι) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a (ws i)) (fun (j : ι') => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) b (wt j))) (Sum.elim.{u3, u4, succ u2} ι ι' E zs zt))))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u4}} {ι' : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u4} ι) (t : Finset.{u3} ι') (ws : ι -> R) (zs : ι -> E) (wt : ι' -> R) (zt : ι' -> E), (Eq.{succ u2} R (Finset.sum.{u2, u4} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => ws i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι' (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι') => wt i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ u2} R (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) a b) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u4} R E ι _inst_1 _inst_2 _inst_5 s ws zs)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι' _inst_1 _inst_2 _inst_5 t wt zt))) (Finset.centerMass.{u2, u1, max u4 u3} R E (Sum.{u4, u3} ι ι') _inst_1 _inst_2 _inst_5 (Finset.disjSum.{u4, u3} ι ι' s t) (Sum.elim.{u4, u3, succ u2} ι ι' R (fun (i : ι) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (ws i)) (fun (j : ι') => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (wt j))) (Sum.elim.{u4, u3, succ u1} ι ι' E zs zt))))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u4}} {ι' : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u4} ι) (t : Finset.{u3} ι') (ws : ι -> R) (zs : ι -> E) (wt : ι' -> R) (zt : ι' -> E), (Eq.{succ u2} R (Finset.sum.{u2, u4} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => ws i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι' (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι') => wt i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ u2} R (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) a b) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u4} R E ι _inst_1 _inst_2 _inst_5 s ws zs)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι' _inst_1 _inst_2 _inst_5 t wt zt))) (Finset.centerMass.{u2, u1, max u4 u3} R E (Sum.{u4, u3} ι ι') _inst_1 _inst_2 _inst_5 (Finset.disjSum.{u4, u3} ι ι' s t) (Sum.elim.{u4, u3, succ u2} ι ι' R (fun (i : ι) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (ws i)) (fun (j : ι') => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (wt j))) (Sum.elim.{u4, u3, succ u1} ι ι' E zs zt))))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment' Finset.centerMass_segment'ₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
@@ -147,7 +147,7 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u3} ι) (w₁ : ι -> R) (w₂ : ι -> R) (z : ι -> E), (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w₁ i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w₂ i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (a : R) (b : R), (Eq.{succ u1} R (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a b) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) a (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s w₁ z)) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) b (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s w₂ z))) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s (fun (i : ι) => HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a (w₁ i)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) b (w₂ i))) z)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u3} ι) (w₁ : ι -> R) (w₂ : ι -> R) (z : ι -> E), (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₁ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₂ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ u2} R (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) a b) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₁ z)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₂ z))) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s (fun (i : ι) => HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (w₁ i)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (w₂ i))) z)))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u3} ι) (w₁ : ι -> R) (w₂ : ι -> R) (z : ι -> E), (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₁ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₂ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ u2} R (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) a b) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₁ z)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₂ z))) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s (fun (i : ι) => HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (w₁ i)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (w₂ i))) z)))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment Finset.centerMass_segmentₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
@@ -164,7 +164,7 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) (z : ι -> E), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t (fun (j : ι) => ite.{succ u1} R (Eq.{succ u3} ι i j) (Classical.propDecidable (Eq.{succ u3} ι i j)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) z) (z i))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) (z : ι -> E), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t (fun (j : ι) => ite.{succ u1} R (Eq.{succ u3} ι i j) (Classical.propDecidable (Eq.{succ u3} ι i j)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) z) (z i))
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) (z : ι -> E), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t (fun (j : ι) => ite.{succ u1} R (Eq.{succ u3} ι i j) (Classical.propDecidable (Eq.{succ u3} ι i j)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) z) (z i))
 Case conversion may be inaccurate. Consider using '#align finset.center_mass_ite_eq Finset.centerMass_ite_eqₓ'. -/
 theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
     t.centerMass (fun j => if i = j then (1 : R) else 0) z = z i :=
@@ -286,7 +286,7 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
 but is expected to have type
-  forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (Eq.{succ u3} R (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (NonAssocRing.toOne.{u3} R (Ring.toNonAssocRing.{u3} R (StrictOrderedRing.toRing.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1))))))))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} R E E (instHSMul.{u3, u2} R E (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
+  forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (Eq.{succ u3} R (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (Semiring.toOne.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} R E E (instHSMul.{u3, u2} R E (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
 Case conversion may be inaccurate. Consider using '#align convex.sum_mem Convex.sum_memₓ'. -/
 theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
@@ -298,7 +298,7 @@ theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => HSMul.hSMul.{u1, u2, u2} R E E (instHSMul.{u1, u2} R E (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => HSMul.hSMul.{u1, u2, u2} R E E (instHSMul.{u1, u2} R E (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
 Case conversion may be inaccurate. Consider using '#align convex.finsum_mem Convex.finsum_memₓ'. -/
 /-- A version of `convex.sum_mem` for `finsum`s. If `s` is a convex set, `w : ι → R` is a family of
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
@@ -325,7 +325,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E}, Iff (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u2} E) (w : E -> R), (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) x t) -> (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) (Finset.sum.{u2, u2} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (x : E) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w x) x)) s))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E}, Iff (Convex.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u1} E) (w : E -> R), (forall (i : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u1} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (x : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) x t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.sum.{u1, u1} E E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (x : E) => HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w x) x)) s))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E}, Iff (Convex.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u1} E) (w : E -> R), (forall (i : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u1} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (forall (x : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) x t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.sum.{u1, u1} E E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (x : E) => HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w x) x)) s))
 Case conversion may be inaccurate. Consider using '#align convex_iff_sum_mem convex_iff_sum_memₓ'. -/
 theorem convex_iff_sum_mem :
     Convex R s ↔
@@ -375,7 +375,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι t p) w) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
@@ -389,7 +389,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
@@ -427,7 +427,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
@@ -469,7 +469,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
 lean 3 declaration is
   forall {R : Type.{u2}} {E : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (s : Set.{u3} E), Eq.{succ u3} (Set.{u3} E) (coeFn.{succ u3, succ u3} (ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (fun (_x : ClosureOperator.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) => (Set.{u3} E) -> (Set.{u3} E)) (ClosureOperator.hasCoeToFun.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.completeBooleanAlgebra.{u3} E)))))))) (convexHull.{u2, u3} R E (StrictOrderedSemiring.toOrderedSemiring.{u2} R (StrictOrderedRing.toStrictOrderedSemiring.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5) s) (setOf.{u3} E (fun (x : E) => Exists.{succ (succ u1)} Type.{u1} (fun (ι : Type.{u1}) => Exists.{succ u1} (Finset.{u1} ι) (fun (t : Finset.{u1} ι) => Exists.{max (succ u1) (succ u2)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u1) (succ u3)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedAddCommGroup.toPartialOrder.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (AddCommGroup.toAddCommMonoid.{u2} R (OrderedAddCommGroup.toAddCommGroup.{u2} R (StrictOrderedRing.toOrderedAddCommGroup.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))))) => Exists.{0} (forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.Mem.{u1, u1} ι (Finset.{u1} ι) (Finset.hasMem.{u1} ι) i t) -> (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) (z i) s)) => Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{succ (succ u3)} Type.{u3} (fun (ι : Type.{u3}) => Exists.{succ u3} (Finset.{u3} ι) (fun (t : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u3) (succ u2)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{succ (succ u3)} Type.{u3} (fun (ι : Type.{u3}) => Exists.{succ u3} (Finset.{u3} ι) (fun (t : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{max (succ u3) (succ u2)} (ι -> E) (fun (z : ι -> E) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Exists.{0} (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) (fun (hz : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) x)))))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_eq convexHull_eqₓ'. -/
 /-- Convex hull of `s` is equal to the set of all centers of masses of `finset`s `t`, `z '' t ⊆ s`.
 This version allows finsets in any type in any universe. -/
@@ -504,7 +504,7 @@ theorem convexHull_eq (s : Set E) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s)) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
 Case conversion may be inaccurate. Consider using '#align finset.convex_hull_eq Finset.convexHull_eqₓ'. -/
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
@@ -534,7 +534,7 @@ theorem Finset.convexHull_eq (s : Finset E) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s))) (Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s))) (Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u2} E} {x : E}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E s))) (Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
 Case conversion may be inaccurate. Consider using '#align finset.mem_convex_hull Finset.mem_convexHullₓ'. -/
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
@@ -546,7 +546,7 @@ theorem Finset.mem_convexHull {s : Finset E} {x : E} :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq Set.Finite.convexHull_eqₓ'. -/
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
@@ -679,7 +679,7 @@ variable (ι) [Fintype ι] {f : ι → R}
 lean 3 declaration is
   forall {R : Type.{u1}} (ι : Type.{u2}) [_inst_1 : LinearOrderedField.{u1} R] [_inst_9 : Fintype.{u2} ι], Eq.{succ (max u2 u1)} (Set.{max u2 u1} (ι -> R)) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (fun (_x : ClosureOperator.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) => (Set.{max u2 u1} (ι -> R)) -> (Set.{max u2 u1} (ι -> R))) (ClosureOperator.hasCoeToFun.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.completeBooleanAlgebra.{max u2 u1} (ι -> R))))))))) (convexHull.{u1, max u2 u1} R (ι -> R) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} ι (fun (j : ι) => R) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.Function.module.{u2, u1, u1} ι R R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Semiring.toModule.{u1} R (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (Set.range.{max u2 u1, succ u2} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u1} R (Eq.{succ u2} ι i j) (Classical.propDecidable (Eq.{succ u2} ι i j)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) (stdSimplex.{u1, u2} R ι (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_9)
 but is expected to have type
-  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => Semiring.toModule.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
+  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => Semiring.toModule.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
 Case conversion may be inaccurate. Consider using '#align convex_hull_basis_eq_std_simplex convexHull_basis_eq_stdSimplexₓ'. -/
 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
@@ -725,7 +725,7 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_9 : Fintype.{u2} ι] {f : ι -> R}, (Membership.Mem.{max u2 u1, max u2 u1} (ι -> R) (Set.{max u2 u1} (ι -> R)) (Set.hasMem.{max u2 u1} (ι -> R)) f (stdSimplex.{u1, u2} R ι (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_9)) -> (forall (x : ι), Membership.Mem.{u1, u1} R (Set.{u1} R) (Set.hasMem.{u1} R) (f x) (Set.Icc.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι] {f : ι -> R}, (Membership.mem.{max u2 u1, max u2 u1} (ι -> R) (Set.{max u2 u1} (ι -> R)) (Set.instMembershipSet.{max u2 u1} (ι -> R)) f (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)) -> (forall (x : ι), Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) (f x) (Set.Icc.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))))
+  forall {R : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι] {f : ι -> R}, (Membership.mem.{max u2 u1, max u2 u1} (ι -> R) (Set.{max u2 u1} (ι -> R)) (Set.instMembershipSet.{max u2 u1} (ι -> R)) f (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)) -> (forall (x : ι), Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) (f x) (Set.Icc.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))))
 Case conversion may be inaccurate. Consider using '#align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplexₓ'. -/
 /-- All values of a function `f ∈ std_simplex 𝕜 ι` belong to `[0, 1]`. -/
 theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc (0 : R) 1 :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -375,7 +375,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι t p) w) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
 Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
@@ -389,7 +389,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
 Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
@@ -427,7 +427,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (v : ι -> E), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)) (setOf.{u2} E (fun (x : E) => Exists.{succ u3} (Finset.{u3} ι) (fun (s : Finset.{u3} ι) => Exists.{max (succ u3) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) x))))))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (v : ι -> E), Eq.{succ u3} (Set.{u3} E) (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u2, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) (Set.range.{u3, succ u1} E ι v)) (setOf.{u3} E (fun (x : E) => Exists.{succ u1} (Finset.{u1} ι) (fun (s : Finset.{u1} ι) => Exists.{max (succ u2) (succ u1)} (ι -> R) (fun (w : ι -> R) => Exists.{0} (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (fun (hw₀ : forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) => Exists.{0} (Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u2} R (Finset.sum.{u2, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) => Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u1)) (succ u3), succ (max u2 u1), succ u3} (AffineMap.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3599 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u1, max u2 u1, u3, u3} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u1, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u1, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u1} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (Finset.affineCombination.{u2, u3, u3, u1} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) ι s v) w) x))))))
 Case conversion may be inaccurate. Consider using '#align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
@@ -701,7 +701,7 @@ variable {ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (Set.image.{max u2 u1, u2} (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (coeFn.{succ (max u2 u1), max (succ (max u2 u1)) (succ u2)} (LinearMap.{u1, u1, max u2 u1, u2} R R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (forall (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s), (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) E (Pi.addCommMonoid.{u2, u1} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) 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(x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 but is expected to have type
-  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8267 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
 Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 
 ! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 2de9c37fa71dde2f1c6feff19876dd6a7b1519f0
+! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
 ! 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.AffineSpace.Basis
 /-!
 # Convex combinations
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines convex combinations of points in a vector space.
 
 ## Main declarations

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

@@ -733,7 +733,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 lean 3 declaration is
   forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) (fun (_x : AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) => ι -> E) (FunLike.hasCoeToFun.{max (succ u3) (succ u2), succ u3, succ u2} (AffineBasis.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5) ι (fun (_x : ι) => E) (AffineBasis.funLike.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5)) b))) (setOf.{u2} E (fun (x : E) => forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (_x : AffineMap.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => E -> R) (AffineMap.hasCoeToFun.{u1, u2, u2, u1, u1} R E E R R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AffineBasis.coord.{u3, u1, u2, u2} ι R E E _inst_2 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_5 b i) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
 Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

@@ -38,20 +38,34 @@ universe u u'
 variable {R E F ι ι' α : Type _} [LinearOrderedField R] [AddCommGroup E] [AddCommGroup F]
   [LinearOrderedAddCommGroup α] [Module R E] [Module R F] [Module R α] [OrderedSMul R α] {s : Set E}
 
+#print Finset.centerMass /-
 /-- Center of mass of a finite collection of points with prescribed weights.
 Note that we require neither `0 ≤ w i` nor `∑ w = 1`. -/
 def Finset.centerMass (t : Finset ι) (w : ι → R) (z : ι → E) : E :=
   (∑ i in t, w i)⁻¹ • ∑ i in t, w i • z i
 #align finset.center_mass Finset.centerMass
+-/
 
 variable (i j : ι) (c : R) (t : Finset ι) (w : ι → R) (z : ι → E)
 
 open Finset
 
+/- warning: finset.center_mass_empty -> Finset.centerMass_empty is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (w : ι -> R) (z : ι -> E), Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.hasEmptyc.{u3} ι)) w z) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (w : ι -> R) (z : ι -> E), Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 (EmptyCollection.emptyCollection.{u1} (Finset.{u1} ι) (Finset.instEmptyCollectionFinset.{u1} ι)) w z) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_empty Finset.centerMass_emptyₓ'. -/
 theorem Finset.centerMass_empty : (∅ : Finset ι).centerMass w z = 0 := by
   simp only [center_mass, sum_empty, smul_zero]
 #align finset.center_mass_empty Finset.centerMass_empty
 
+/- warning: finset.center_mass_pair -> Finset.centerMass_pair is a dubious translation:
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R (instHAdd.{u1} R (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))) (w i) (w j))) (z i)) (HSMul.hSMul.{u1, u2, u2} R E E (instHSMul.{u1, u2} R E (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (LinearOrderedField.toDiv.{u1} R _inst_1)) (w j) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))) (w i) (w j))) (z j))))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_pair Finset.centerMass_pairₓ'. -/
 theorem Finset.centerMass_pair (hne : i ≠ j) :
     ({i, j} : Finset ι).centerMass w z = (w i / (w i + w j)) • z i + (w j / (w i + w j)) • z j := by
   simp only [center_mass, sum_pair hne, smul_add, (mul_smul _ _ _).symm, div_eq_inv_mul]
@@ -59,6 +73,12 @@ theorem Finset.centerMass_pair (hne : i ≠ j) :
 
 variable {w}
 
+/- warning: finset.center_mass_insert -> Finset.centerMass_insert is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) {w : ι -> R} (z : ι -> E), (Not (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t)) -> (Ne.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (j : ι) => w j)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} 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_inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (HDiv.hDiv.{u1, u1, u1} R R R (instHDiv.{u1} R (DivInvMonoid.toHasDiv.{u1} R (DivisionRing.toDivInvMonoid.{u1} R (Field.toDivisionRing.{u1} R (LinearOrderedField.toField.{u1} R _inst_1))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (j : ι) => w j)) (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (w i) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (j : ι) => w j)))) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z))))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (i : ι) (t : Finset.{u3} ι) {w : ι -> R} (z : ι -> E), (Not (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t)) -> (Ne.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (j : ι) => w j)) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) -> (Eq.{succ u1} E (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 (Insert.insert.{u3, u3} ι (Finset.{u3} ι) (Finset.instInsertFinset.{u3} ι (fun (a : ι) (b : ι) => Classical.propDecidable (Eq.{succ u3} ι a b))) i t) w z) (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_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} R R R (instHDiv.{u2} R (LinearOrderedField.toDiv.{u2} R _inst_1)) (w i) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) (w i) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (j : ι) => w j)))) (z i)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (HDiv.hDiv.{u2, u2, u2} R R R (instHDiv.{u2} R (LinearOrderedField.toDiv.{u2} R _inst_1)) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (j : ι) => w j)) (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) (w i) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (j : ι) => w j)))) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w z))))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_insert Finset.centerMass_insertₓ'. -/
 theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
     (insert i t).centerMass w z =
       (w i / (w i + ∑ j in t, w j)) • z i +
@@ -69,19 +89,43 @@ theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
   rw [div_mul_eq_mul_div, mul_inv_cancel hw, one_div]
 #align finset.center_mass_insert Finset.centerMass_insert
 
+/- warning: finset.center_mass_singleton -> Finset.centerMass_singleton is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) {w : ι -> R} (z : ι -> E), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 (Singleton.singleton.{u3, u3} ι (Finset.{u3} ι) (Finset.hasSingleton.{u3} ι) i) w z) (z i))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align finset.center_mass_singleton Finset.centerMass_singletonₓ'. -/
 theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerMass w z = z i := by
   rw [center_mass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
 
+/- warning: finset.center_mass_eq_of_sum_1 -> Finset.centerMass_eq_of_sum_1 is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u3}} {E : Type.{u1}} {ι : Type.{u2}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (t : Finset.{u2} ι) {w : ι -> R} (z : ι -> E), (Eq.{succ u3} R (Finset.sum.{u3, u2} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (NonAssocRing.toOne.{u3} R (Ring.toNonAssocRing.{u3} R (StrictOrderedRing.toRing.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1))))))))) -> (Eq.{succ u1} E (Finset.centerMass.{u3, u1, u2} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.sum.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u1, u1} R E E (instHSMul.{u3, u1} R E (SMulZeroClass.toSMul.{u3, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u3, u1} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w i) (z i))))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1ₓ'. -/
 theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
 
+/- warning: finset.center_mass_smul -> Finset.centerMass_smul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (c : R) (t : Finset.{u3} ι) {w : ι -> R} (z : ι -> E), Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) c (z i))) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) c (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] (c : R) (t : Finset.{u1} ι) {w : ι -> R} (z : ι -> E), Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w (fun (i : ι) => HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5))))) c (z i))) (HSMul.hSMul.{u2, u3, u3} R E E (instHSMul.{u2, u3} R E (SMulZeroClass.toSMul.{u2, u3} R E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5))))) c (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w z))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_smul Finset.centerMass_smulₓ'. -/
 theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.centerMass w z := by
   simp only [Finset.centerMass, Finset.smul_sum, (mul_smul _ _ _).symm, mul_comm c, mul_assoc]
 #align finset.center_mass_smul Finset.centerMass_smul
 
+/- warning: finset.center_mass_segment' -> Finset.centerMass_segment' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} {ι' : Type.{u4}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u3} ι) (t : Finset.{u4} ι') (ws : ι -> R) (zs : ι -> E) (wt : ι' -> R) (zt : ι' -> E), (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => ws i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u1} R (Finset.sum.{u1, u4} R ι' (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι') => wt i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (a : R) (b : R), (Eq.{succ u1} R (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a b) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) a (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s ws zs)) (SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) b (Finset.centerMass.{u1, u2, u4} R E ι' _inst_1 _inst_2 _inst_5 t wt zt))) (Finset.centerMass.{u1, u2, max u3 u4} R E (Sum.{u3, u4} ι ι') _inst_1 _inst_2 _inst_5 (Finset.disjSum.{u3, u4} ι ι' s t) (Sum.elim.{u3, u4, succ u1} ι ι' R (fun (i : ι) => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a (ws i)) (fun (j : ι') => HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) b (wt j))) (Sum.elim.{u3, u4, succ u2} ι ι' E zs zt))))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u4}} {ι' : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u4} ι) (t : Finset.{u3} ι') (ws : ι -> R) (zs : ι -> E) (wt : ι' -> R) (zt : ι' -> E), (Eq.{succ u2} R (Finset.sum.{u2, u4} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => ws i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι' (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι') => wt i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ u2} R (HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) a b) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u4} R E ι _inst_1 _inst_2 _inst_5 s ws zs)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι' _inst_1 _inst_2 _inst_5 t wt zt))) (Finset.centerMass.{u2, u1, max u4 u3} R E (Sum.{u4, u3} ι ι') _inst_1 _inst_2 _inst_5 (Finset.disjSum.{u4, u3} ι ι' s t) (Sum.elim.{u4, u3, succ u2} ι ι' R (fun (i : ι) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (ws i)) (fun (j : ι') => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (wt j))) (Sum.elim.{u4, u3, succ u1} ι ι' E zs zt))))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment' Finset.centerMass_segment'ₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
@@ -96,6 +140,12 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
   · rw [sum_sum_elim, ← mul_sum, ← mul_sum, hws, hwt, mul_one, mul_one, hab]
 #align finset.center_mass_segment' Finset.centerMass_segment'
 
+/- warning: finset.center_mass_segment -> Finset.centerMass_segment is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Finset.{u3} ι) (w₁ : ι -> R) (w₂ : ι -> R) (z : ι -> E), (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w₁ i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R 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(LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (a : R) (b : R), (Eq.{succ u1} R (HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a b) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E 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(MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) b (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s w₂ z))) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 s (fun (i : ι) => HAdd.hAdd.{u1, u1, u1} R R R (instHAdd.{u1} R (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) a (w₁ i)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) b (w₂ i))) z)))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (s : Finset.{u3} ι) (w₁ : ι -> R) (w₂ : ι -> R) (z : ι -> E), (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₁ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w₂ i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (a : R) (b : R), (Eq.{succ 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(LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) a (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₁ z)) (HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) b (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s w₂ z))) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 s (fun (i : ι) => HAdd.hAdd.{u2, u2, u2} R R R (instHAdd.{u2} R (Distrib.toAdd.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))))) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) a (w₁ i)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocRing.toMul.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) b (w₂ i))) z)))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_segment Finset.centerMass_segmentₓ'. -/
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
@@ -107,6 +157,12 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
   simp only [Finset.centerMass_eq_of_sum_1, smul_sum, sum_add_distrib, add_smul, mul_smul, *]
 #align finset.center_mass_segment Finset.centerMass_segment
 
+/- warning: finset.center_mass_ite_eq -> Finset.centerMass_ite_eq is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) (z : ι -> E), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t (fun (j : ι) => ite.{succ u1} R (Eq.{succ u3} ι i j) (Classical.propDecidable (Eq.{succ u3} ι i j)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) z) (z i))
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (i : ι) (t : Finset.{u3} ι) (z : ι -> E), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t (fun (j : ι) => ite.{succ u1} R (Eq.{succ u3} ι i j) (Classical.propDecidable (Eq.{succ u3} ι i j)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) z) (z i))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_ite_eq Finset.centerMass_ite_eqₓ'. -/
 theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
     t.centerMass (fun j => if i = j then (1 : R) else 0) z = z i :=
   by
@@ -121,6 +177,12 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
 
 variable {t w}
 
+/- warning: finset.center_mass_subset -> Finset.centerMass_subset is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {t : Finset.{u3} ι} {w : ι -> R} (z : ι -> E) {t' : Finset.{u3} ι}, (HasSubset.Subset.{u3} (Finset.{u3} ι) (Finset.hasSubset.{u3} ι) t t') -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t') -> (Not (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t)) -> (Eq.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))))) -> (Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t' w z))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {t : Finset.{u3} ι} {w : ι -> R} (z : ι -> E) {t' : Finset.{u3} ι}, (HasSubset.Subset.{u3} (Finset.{u3} ι) (Finset.instHasSubsetFinset.{u3} ι) t t') -> (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t') -> (Not (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t)) -> (Eq.{succ u2} R (w i) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) -> (Eq.{succ u1} E (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t' w z))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_subset Finset.centerMass_subsetₓ'. -/
 theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈ t', i ∉ t → w i = 0) :
     t.centerMass w z = t'.centerMass w z :=
   by
@@ -130,6 +192,12 @@ theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈
   rw [h i hit' hit, zero_smul, smul_zero]
 #align finset.center_mass_subset Finset.centerMass_subset
 
+/- warning: finset.center_mass_filter_ne_zero -> Finset.centerMass_filter_ne_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {t : Finset.{u3} ι} {w : ι -> R} (z : ι -> E), Eq.{succ u2} E (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 (Finset.filter.{u3} ι (fun (i : ι) => Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (fun (a : ι) => Ne.decidable.{succ u1} R (fun (a : R) (b : R) => Classical.propDecidable (Eq.{succ u1} R a b)) (w a) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) t) w z) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z)
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u3}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_5 : Module.{u2, u3} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] {t : Finset.{u1} ι} {w : ι -> R} (z : ι -> E), Eq.{succ u3} E (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 (Finset.filter.{u1} ι (fun (i : ι) => Ne.{succ u2} R (w i) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (fun (a : ι) => instDecidableNot (Eq.{succ u2} R (w a) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) (instDecidableEq.{u2} R (LinearOrderedRing.toLinearOrder.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))) (w a) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))))) t) w z) (Finset.centerMass.{u2, u3, u1} R E ι _inst_1 _inst_2 _inst_5 t w z)
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_filter_ne_zero Finset.centerMass_filter_ne_zeroₓ'. -/
 theorem Finset.centerMass_filter_ne_zero :
     (t.filterₓ fun i => w i ≠ 0).centerMass w z = t.centerMass w z :=
   Finset.centerMass_subset z (filter_subset _ _) fun i hit hit' => by
@@ -138,6 +206,12 @@ theorem Finset.centerMass_filter_ne_zero :
 
 namespace Finset
 
+/- warning: finset.center_mass_le_sup -> Finset.centerMass_le_sup is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R 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_inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R 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(AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f)
+but is expected to have type
+  forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f) (Finset.sup'.{u1, u3} α ι (Lattice.toSemilatticeSup.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2053) hw₀ hw₁)) f)
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_le_sup Finset.centerMass_le_supₓ'. -/
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.centerMass w f ≤
@@ -152,6 +226,12 @@ theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀
   infer_instance
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
 
+/- warning: finset.inf_le_center_mass -> Finset.inf_le_centerMass is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {ι : Type.{u2}} {α : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_4 : LinearOrderedAddCommGroup.{u3} α] [_inst_7 : Module.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))] [_inst_8 : OrderedSMul.{u1, u3} R α (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R α (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u3} α (AddMonoid.toAddZeroClass.{u3} α (AddCommMonoid.toAddMonoid.{u3} α (OrderedAddCommMonoid.toAddCommMonoid.{u3} α (OrderedCancelAddCommMonoid.toOrderedAddCommMonoid.{u3} α (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))))))) (Module.toMulActionWithZero.{u1, u3} R α (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} α (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4))) _inst_7))] {s : Finset.{u2} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u3} α (Preorder.toLE.{u3} α (PartialOrder.toPreorder.{u3} α (OrderedAddCommGroup.toPartialOrder.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)))) (Finset.inf'.{u3, u2} α ι (Lattice.toSemilatticeInf.{u3} α (LinearOrder.toLattice.{u3} α (LinearOrderedAddCommGroup.toLinearOrder.{u3} α _inst_4))) s (Finset.nonempty_of_ne_empty.{u2} ι s (id.{0} (Ne.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) (fun (ᾰ : Eq.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) => Eq.ndrec.{0, succ u2} (Finset.{u2} ι) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun {s : Finset.{u2} ι} => (forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.Mem.{u2, u2} ι (Finset.{u2} ι) (Finset.hasMem.{u2} ι) i (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι))) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) (hw₁ : LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) => Eq.mpr.{0} False False (id_tag Tactic.IdTag.simp (Eq.{1} Prop False False) (rfl.{1} Prop False)) (Eq.mp.{0} (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) False (Eq.trans.{1} Prop (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i))) (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False ((fun [self : LT.{u1} R] (ᾰ : R) (ᾰ_1 : R) (e_2 : Eq.{succ u1} R ᾰ ᾰ_1) (ᾰ_2 : R) (ᾰ_3 : R) (e_3 : Eq.{succ u1} R ᾰ_2 ᾰ_3) => congr.{succ u1, 1} R Prop (LT.lt.{u1} R self ᾰ) (LT.lt.{u1} R self ᾰ_1) ᾰ_2 ᾰ_3 (congr_arg.{succ u1, succ u1} R (R -> Prop) ᾰ ᾰ_1 (LT.lt.{u1} R self) e_2) e_3) (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (rfl.{succ u1} R (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) (Finset.sum.{u1, u2} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum_empty.{u1, u2} R ι (fun (x : ι) => w x) (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (propext (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) False (lt_self_iff_false.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))))) hw₁)) s (Eq.symm.{succ u2} (Finset.{u2} ι) s (EmptyCollection.emptyCollection.{u2} (Finset.{u2} ι) (Finset.hasEmptyc.{u2} ι)) ᾰ) hw₀ hw₁))) f) (Finset.centerMass.{u1, u3, u2} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u3} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u3} α _inst_4)) _inst_7 s w f)
+but is expected to have type
+  forall {R : Type.{u2}} {ι : Type.{u3}} {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_4 : LinearOrderedAddCommGroup.{u1} α] [_inst_7 : Module.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))] [_inst_8 : OrderedSMul.{u2, u1} R α (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u1} R α (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (AddMonoid.toZero.{u1} α (AddCommMonoid.toAddMonoid.{u1} α (OrderedAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4)))))) (Module.toMulActionWithZero.{u2, u1} R α (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} α (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} α _inst_4))) _inst_7))] {s : Finset.{u3} ι} {f : ι -> α} {w : ι -> R} (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)))) (Finset.inf'.{u1, u3} α ι (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α (LinearOrderedAddCommGroup.toLinearOrder.{u1} α _inst_4)))) s (Finset.nonempty_of_ne_empty.{u3} ι s (fun (a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214 : Eq.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) => Eq.ndrec.{0, succ u3} (Finset.{u3} ι) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun {s : Finset.{u3} ι} => (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s (fun (i : ι) => w i))) -> False) (fun (hw₀ : forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι))) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) (hw₁ : LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) (fun (i : ι) => w i))) => False.elim.{0} False (Eq.mp.{0} (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) False (Mathlib.Order.Basic._auxLemma.2.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))) hw₁)) s (Eq.symm.{succ u3} (Finset.{u3} ι) s (EmptyCollection.emptyCollection.{u3} (Finset.{u3} ι) (Finset.instEmptyCollectionFinset.{u3} ι)) a._@.Init.Prelude.139.Mathlib.Analysis.Convex.Combination._hyg.2214) hw₀ hw₁)) f) (Finset.centerMass.{u2, u1, u3} R α ι _inst_1 (OrderedAddCommGroup.toAddCommGroup.{u1} α (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} α _inst_4)) _inst_7 s w f)
+Case conversion may be inaccurate. Consider using '#align finset.inf_le_center_mass Finset.inf_le_centerMassₓ'. -/
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.inf'
@@ -167,6 +247,12 @@ end Finset
 
 variable {z}
 
+/- warning: convex.center_mass_mem -> Convex.centerMass_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
+but is expected to have type
+  forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (LT.lt.{u3} R (Preorder.toLT.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.centerMass.{u3, u2, u1} R E ι _inst_1 _inst_2 _inst_5 t w z) s)
+Case conversion may be inaccurate. Consider using '#align convex.center_mass_mem Convex.centerMass_memₓ'. -/
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
@@ -193,12 +279,24 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
 
+/- warning: convex.sum_mem -> Convex.sum_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u3} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.sum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
+but is expected to have type
+  forall {R : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u3} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} {t : Finset.{u1} ι} {w : ι -> R} {z : ι -> E}, (Convex.{u3, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u3} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u3} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (LE.le.{u3} R (Preorder.toLE.{u3} R (PartialOrder.toPreorder.{u3} R (StrictOrderedRing.toPartialOrder.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1)))))) (OfNat.ofNat.{u3} R 0 (Zero.toOfNat0.{u3} R (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))))) (w i))) -> (Eq.{succ u3} R (Finset.sum.{u3, u1} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u3} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u3} R 1 (One.toOfNat1.{u3} R (NonAssocRing.toOne.{u3} R (Ring.toNonAssocRing.{u3} R (StrictOrderedRing.toRing.{u3} R (LinearOrderedRing.toStrictOrderedRing.{u3} R (LinearOrderedCommRing.toLinearOrderedRing.{u3} R (LinearOrderedField.toLinearOrderedCommRing.{u3} R _inst_1))))))))) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i t) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.sum.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (i : ι) => HSMul.hSMul.{u3, u2, u2} R E E (instHSMul.{u3, u2} R E (SMulZeroClass.toSMul.{u3, u2} R 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.{u3, u2} R E (CommMonoidWithZero.toZero.{u3} R (CommGroupWithZero.toCommMonoidWithZero.{u3} R (Semifield.toCommGroupWithZero.{u3} R (LinearOrderedSemifield.toSemifield.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (Semiring.toMonoidWithZero.{u3} R (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _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.{u3, u2} R E (StrictOrderedSemiring.toSemiring.{u3} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u3} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u3} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u3} R (LinearOrderedField.toLinearOrderedSemifield.{u3} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
+Case conversion may be inaccurate. Consider using '#align convex.sum_mem Convex.sum_memₓ'. -/
 theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
   simpa only [h₁, center_mass, inv_one, one_smul] using
     hs.center_mass_mem h₀ (h₁.symm ▸ zero_lt_one) hz
 #align convex.sum_mem Convex.sum_mem
 
+/- warning: convex.finsum_mem -> Convex.finsum_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w i) (z i))) s)
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Sort.{u3}} {w : ι -> R} {z : ι -> E} {s : Set.{u2} E}, (Convex.{u1, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) -> (forall (i : ι), LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i)) -> (Eq.{succ u1} R (finsum.{u1, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) -> (forall (i : ι), (Ne.{succ u1} R (w i) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (z i) s)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (finsum.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (fun (i : ι) => HSMul.hSMul.{u1, u2, u2} R E E (instHSMul.{u1, u2} R E (SMulZeroClass.toSMul.{u1, u2} R 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} R E (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))))) (w i) (z i))) s)
+Case conversion may be inaccurate. Consider using '#align convex.finsum_mem Convex.finsum_memₓ'. -/
 /-- A version of `convex.sum_mem` for `finsum`s. If `s` is a convex set, `w : ι → R` is a family of
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
 that `z i ∈ s` whenever `w i ≠ 0``, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
@@ -220,6 +318,12 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
   · rwa [hfin_w.mem_to_finset] at hi
 #align convex.finsum_mem Convex.finsum_mem
 
+/- warning: convex_iff_sum_mem -> convex_iff_sum_mem is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E}, Iff (Convex.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u2} E) (w : E -> R), (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) x t) -> (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) (Finset.sum.{u2, u2} E E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) t (fun (x : E) => SMul.smul.{u1, u2} R E (SMulZeroClass.toHasSmul.{u1, u2} R E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R E (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)))) (w x) x)) s))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E}, Iff (Convex.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)))) s) (forall (t : Finset.{u1} E) (w : E -> R), (forall (i : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u1} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : E) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (forall (x : E), (Membership.mem.{u1, u1} E (Finset.{u1} E) (Finset.instMembershipFinset.{u1} E) x t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.sum.{u1, u1} E E (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) t (fun (x : E) => HSMul.hSMul.{u2, u1, u1} R E E (instHSMul.{u2, u1} R E (SMulZeroClass.toSMul.{u2, u1} R E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R E (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R E (Semiring.toMonoidWithZero.{u2} R (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5))))) (w x) x)) s))
+Case conversion may be inaccurate. Consider using '#align convex_iff_sum_mem convex_iff_sum_memₓ'. -/
 theorem convex_iff_sum_mem :
     Convex R s ↔
       ∀ (t : Finset E) (w : E → R),
@@ -239,12 +343,24 @@ theorem convex_iff_sum_mem :
       cases hi <;> subst i <;> simp [hx, hy, if_neg h_cases]
 #align convex_iff_sum_mem convex_iff_sum_mem
 
+/- warning: finset.center_mass_mem_convex_hull -> Finset.centerMass_mem_convexHull is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (t : Finset.{u3} ι) {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall {z : ι -> E}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i t) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (z i) s)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s)))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Set.{u1} E} (t : Finset.{u3} ι) {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i))) -> (forall {z : ι -> E}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i t) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (z i) s)) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w z) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) s)))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHullₓ'. -/
 theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
     (hws : 0 < ∑ i in t, w i) {z : ι → E} (hz : ∀ i ∈ t, z i ∈ s) :
     t.centerMass w z ∈ convexHull R s :=
   (convex_convexHull R s).centerMass_mem hw₀ hws fun i hi => subset_convexHull R s <| hz i hi
 #align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHull
 
+/- warning: finset.center_mass_id_mem_convex_hull -> Finset.centerMass_id_mem_convexHull is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u2} E) {w : E -> R}, (forall (i : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : E) => w i))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 t w (id.{succ u2} E)) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) t)))
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (t : Finset.{u2} E) {w : E -> R}, (forall (i : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) i t) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w i))) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) t (fun (i : E) => w i))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 t w (id.{succ u2} E)) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (Finset.toSet.{u2} E t)))
+Case conversion may be inaccurate. Consider using '#align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHullₓ'. -/
 /-- A refinement of `finset.center_mass_mem_convex_hull` when the indexed family is a `finset` of
 the space. -/
 theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
@@ -252,6 +368,12 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
   t.centerMass_mem_convexHull hw₀ hws fun i => mem_coe.2
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
+/- warning: affine_combination_eq_center_mass -> affineCombination_eq_centerMass is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Eq.{succ u2} E (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι t p) w) (Finset.centerMass.{u1, u2, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {t : Finset.{u3} ι} {p : ι -> E} {w : ι -> R}, (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) t (fun (i : ι) => w i)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Eq.{succ u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R 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(LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι t p) w) (Finset.centerMass.{u2, u1, u3} R E ι _inst_1 _inst_2 _inst_5 t w p))
+Case conversion may be inaccurate. Consider using '#align affine_combination_eq_center_mass affineCombination_eq_centerMassₓ'. -/
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
   by
@@ -260,6 +382,12 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
   simp_rw [vsub_eq_sub, sub_zero]
 #align affine_combination_eq_center_mass affineCombination_eq_centerMass
 
+/- warning: affine_combination_mem_convex_hull -> affineCombination_mem_convexHull is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (w i))) -> (Eq.{succ u1} R (Finset.sum.{u1, u3} R ι (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s w) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (coeFn.{max (succ (max u3 u1)) (succ u2), max (succ (max u3 u1)) (succ u2)} (AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => (ι -> R) -> E) (AffineMap.hasCoeToFun.{u1, max u3 u1, max u3 u1, u2, u2} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u3, u1} ι (fun (i : ι) => R) (fun (i : ι) => NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (Pi.module.{u3, u1, u1} ι (fun (i : ι) => R) R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toAddCommGroup.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))) (fun (i : ι) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (Pi.addTorsor.{u3, u1, u1} ι (fun (i : ι) => R) (fun (i : ι) => AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (fun (ᾰ : ι) => R) (fun (i : ι) => addGroupIsAddTorsor.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (Finset.affineCombination.{u1, u2, u2, u3} R E E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) ι s v) w) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) (Set.range.{u2, succ u3} E ι v)))
+but is expected to have type
+  forall {R : Type.{u2}} {E : Type.{u1}} {ι : Type.{u3}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {s : Finset.{u3} ι} {v : ι -> E} {w : ι -> R}, (forall (i : ι), (Membership.mem.{u3, u3} ι (Finset.{u3} ι) (Finset.instMembershipFinset.{u3} ι) i s) -> (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (w i))) -> (Eq.{succ u2} R (Finset.sum.{u2, u3} R ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) s w) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))) -> (Membership.mem.{u1, u1} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) w) (Set.{u1} E) (Set.instMembershipSet.{u1} E) (FunLike.coe.{max (succ (max u2 u3)) (succ u1), succ (max u2 u3), succ u1} (AffineMap.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.Combination._hyg.3609 : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (ι -> R) (fun (_x : ι -> R) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : ι -> R) => E) _x) (AffineMap.funLike.{u2, max u2 u3, max u2 u3, u1, u1} R (ι -> R) (ι -> R) E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) (Pi.addCommGroup.{u3, u2} ι (fun (i : ι) => R) (fun (i : ι) => Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Pi.module.{u3, u2, u2} ι (fun (i : ι) => R) R (Ring.toSemiring.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (fun (i : ι) => AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))) (Finset.instAddTorsorForAllAddGroupToAddGroupToAddGroupWithOne.{u2, u3} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) ι) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))) (Finset.affineCombination.{u2, u1, u1, u3} R E E (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) ι s v) w) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι v)))
+Case conversion may be inaccurate. Consider using '#align affine_combination_mem_convex_hull affineCombination_mem_convexHullₓ'. -/
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
     s.affineCombination R v w ∈ convexHull R (range v) :=
@@ -270,13 +398,16 @@ theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι
   · simp
 #align affine_combination_mem_convex_hull affineCombination_mem_convexHull
 
+#print Finset.centroid_eq_centerMass /-
 /-- The centroid can be regarded as a center of mass. -/
 @[simp]
 theorem Finset.centroid_eq_centerMass (s : Finset ι) (hs : s.Nonempty) (p : ι → E) :
     s.centroid R p = s.centerMass (s.centroidWeights R) p :=
   affineCombination_eq_centerMass (s.sum_centroidWeights_eq_one_of_nonempty R hs)
 #align finset.centroid_eq_center_mass Finset.centroid_eq_centerMass
+-/
 
+#print Finset.centroid_mem_convexHull /-
 theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
     s.centroid R id ∈ convexHull R (s : Set E) :=
   by
@@ -287,7 +418,14 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
     simp only [hs_card, Finset.sum_const, nsmul_eq_mul, mul_inv_cancel, Ne.def, not_false_iff,
       Finset.centroidWeights_apply, zero_lt_one]
 #align finset.centroid_mem_convex_hull Finset.centroid_mem_convexHull
+-/
 
+/- warning: convex_hull_range_eq_exists_affine_combination -> convexHull_range_eq_exists_affineCombination 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_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombinationₓ'. -/
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
       { x |
@@ -324,6 +462,12 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     exact affineCombination_mem_convexHull hw₀ hw₁
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
 
+/- warning: convex_hull_eq -> convexHull_eq is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align convex_hull_eq convexHull_eqₓ'. -/
 /-- Convex hull of `s` is equal to the set of all centers of masses of `finset`s `t`, `z '' t ⊆ s`.
 This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) :
@@ -353,6 +497,12 @@ theorem convexHull_eq (s : Set E) :
     exact t.center_mass_mem_convex_hull hw₀ (hw₁.symm ▸ zero_lt_one) hz
 #align convex_hull_eq convexHull_eq
 
+/- warning: finset.convex_hull_eq -> Finset.convexHull_eq is a dubious translation:
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x)))))
+but is expected to have type
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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x)))))
+Case conversion may be inaccurate. Consider using '#align finset.convex_hull_eq Finset.convexHull_eqₓ'. -/
 theorem Finset.convexHull_eq (s : Finset E) :
     convexHull R ↑s =
       { x : E |
@@ -377,12 +527,24 @@ theorem Finset.convexHull_eq (s : Finset E) :
       s.center_mass_mem_convex_hull (fun x hx => hw₀ _ hx) (hw₁.symm ▸ zero_lt_one) fun x hx => hx
 #align finset.convex_hull_eq Finset.convexHull_eq
 
+/- warning: finset.mem_convex_hull -> Finset.mem_convexHull is a dubious translation:
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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} E) (Set.{u2} E) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} E) (Set.{u2} E) (Finset.Set.hasCoeT.{u2} E))) s))) (Exists.{max (succ u2) (succ u1)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) s (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
+but is expected to have type
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(fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 s w (id.{succ u2} E)) x))))
+Case conversion may be inaccurate. Consider using '#align finset.mem_convex_hull Finset.mem_convexHullₓ'. -/
 theorem Finset.mem_convexHull {s : Finset E} {x : E} :
     x ∈ convexHull R (s : Set E) ↔
       ∃ (w : E → R)(hw₀ : ∀ y ∈ s, 0 ≤ w y)(hw₁ : (∑ y in s, w y) = 1), s.centerMass w id = x :=
   by rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
+/- warning: set.finite.convex_hull_eq -> Set.Finite.convexHull_eq is a dubious translation:
+lean 3 declaration is
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_inst_1)))))))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (AddCommGroup.toAddCommMonoid.{u1} R (OrderedAddCommGroup.toAddCommGroup.{u1} R 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+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (setOf.{u2} E (fun (x : E) => Exists.{max (succ u1) (succ u2)} (E -> R) (fun (w : E -> R) => Exists.{0} (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) (fun (hw₀ : forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (StrictOrderedRing.toPartialOrder.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommGroupWithZero.toCommMonoidWithZero.{u1} R (Semifield.toCommGroupWithZero.{u1} R (LinearOrderedSemifield.toSemifield.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (w y))) => Exists.{0} (Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) (fun (hw₁ : Eq.{succ u1} R (Finset.sum.{u1, u2} R E (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (Set.Finite.toFinset.{u2} E s hs) (fun (y : E) => w y)) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (NonAssocRing.toOne.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))))))) => Eq.{succ u2} E (Finset.centerMass.{u1, u2, u2} R E E _inst_1 _inst_2 _inst_5 (Set.Finite.toFinset.{u2} E s hs) w (id.{succ u2} E)) x)))))
+Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq Set.Finite.convexHull_eqₓ'. -/
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     convexHull R s =
       { x : E |
@@ -393,6 +555,7 @@ theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) :
     hs.to_finset.convex_hull_eq
 #align set.finite.convex_hull_eq Set.Finite.convexHull_eq
 
+#print convexHull_eq_union_convexHull_finite_subsets /-
 /-- A weak version of Carathéodory's theorem. -/
 theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
     convexHull R s = ⋃ (t : Finset E) (w : ↑t ⊆ s), convexHull R ↑t :=
@@ -409,7 +572,14 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
       · exact fun i hi => Finset.mem_coe.2 (Finset.mem_image_of_mem _ hi)
   · exact Union_subset fun i => Union_subset convexHull_mono
 #align convex_hull_eq_union_convex_hull_finite_subsets convexHull_eq_union_convexHull_finite_subsets
+-/
 
+/- warning: mk_mem_convex_hull_prod -> mk_mem_convexHull_prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_6 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)] {s : Set.{u2} E} {t : Set.{u3} F} {x : E} {y : F}, (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (coeFn.{succ u2, succ u2} (ClosureOperator.{u2} (Set.{u2} E) (PartialOrder.toPreorder.{u2} (Set.{u2} E) 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+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_6 : Module.{u1, u3} R F (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)] {s : Set.{u2} E} {t : Set.{u3} F} {x : E} {y : F}, (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s)) -> (Membership.mem.{u3, u3} F (Set.{u3} F) (Set.instMembershipSet.{u3} F) y (OrderHom.toFun.{u3, u3} (Set.{u3} F) (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.instCompleteBooleanAlgebraSet.{u3} F))))))) (convexHull.{u1, u3} R F (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_6)) t)) -> (Membership.mem.{max u3 u2, max u3 u2} (Prod.{u2, u3} E F) (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instMembershipSet.{max u2 u3} (Prod.{u2, u3} E F)) (Prod.mk.{u2, u3} E F x y) (OrderHom.toFun.{max u3 u2, max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.{max u3 u2} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (ClosureOperator.toOrderHom.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u3 u2} (Set.{max u3 u2} (Prod.{u2, u3} E F)) (Set.instCompleteBooleanAlgebraSet.{max u3 u2} (Prod.{u2, u3} E F)))))))) (convexHull.{u1, max u3 u2} R (Prod.{u2, u3} E F) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Prod.instAddCommMonoidSum.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)) (Prod.module.{u1, u2, u3} R E F (OrderedSemiring.toSemiring.{u1} R (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_5 _inst_6))) (Set.prod.{u2, u3} E F s t)))
+Case conversion may be inaccurate. Consider using '#align mk_mem_convex_hull_prod mk_mem_convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -459,6 +629,12 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
     rw [← Finset.sum_smul, hw', one_smul]
 #align mk_mem_convex_hull_prod mk_mem_convexHull_prod
 
+/- warning: convex_hull_prod -> convexHull_prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : AddCommGroup.{u3} F] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_6 : Module.{u1, u3} R F (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)] (s : Set.{u2} E) (t : Set.{u3} F), Eq.{succ (max u2 u3)} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (coeFn.{succ (max u2 u3), succ (max u2 u3)} (ClosureOperator.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Set.completeBooleanAlgebra.{max u2 u3} (Prod.{u2, u3} E F))))))))) (fun (_x : ClosureOperator.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Set.completeBooleanAlgebra.{max u2 u3} (Prod.{u2, u3} E F))))))))) => (Set.{max u2 u3} (Prod.{u2, u3} E F)) -> (Set.{max u2 u3} (Prod.{u2, u3} E F))) (ClosureOperator.hasCoeToFun.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteSemilatticeInf.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteLattice.toCompleteSemilatticeInf.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u2, u3} E F)) (Set.completeBooleanAlgebra.{max u2 u3} (Prod.{u2, u3} E F))))))))) (convexHull.{u1, max u2 u3} R (Prod.{u2, u3} E F) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Prod.addCommMonoid.{u2, u3} E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3)) (Prod.module.{u1, u2, u3} R E F (OrderedSemiring.toSemiring.{u1} R (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_5 _inst_6)) (Set.prod.{u2, u3} E F s t)) (Set.prod.{u2, u3} E F (coeFn.{succ u2, succ u2} (ClosureOperator.{u2} (Set.{u2} E) 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(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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (coeFn.{succ u3, succ u3} (ClosureOperator.{u3} (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.completeBooleanAlgebra.{u3} F)))))))) (fun (_x : ClosureOperator.{u3} (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.completeBooleanAlgebra.{u3} F)))))))) => (Set.{u3} F) -> (Set.{u3} F)) (ClosureOperator.hasCoeToFun.{u3} (Set.{u3} F) (PartialOrder.toPreorder.{u3} (Set.{u3} F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} F) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} F) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} F) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} F) (Set.completeBooleanAlgebra.{u3} F)))))))) (convexHull.{u1, u3} R F (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_3) _inst_6) t))
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : AddCommGroup.{u2} F] [_inst_5 : Module.{u1, u3} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_6 : Module.{u1, u2} R F (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_3)] (s : Set.{u3} E) (t : Set.{u2} F), Eq.{max (succ u3) (succ u2)} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (OrderHom.toFun.{max u2 u3, max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Set.{max u2 u3} (Prod.{u3, u2} E F)) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Set.instCompleteBooleanAlgebraSet.{max u2 u3} (Prod.{u3, u2} E F)))))))) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Set.instCompleteBooleanAlgebraSet.{max u2 u3} (Prod.{u3, u2} E F)))))))) (ClosureOperator.toOrderHom.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (PartialOrder.toPreorder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Order.Coframe.toCompleteLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteDistribLattice.toCoframe.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u3} (Set.{max u2 u3} (Prod.{u3, u2} E F)) (Set.instCompleteBooleanAlgebraSet.{max u2 u3} (Prod.{u3, u2} E F)))))))) (convexHull.{u1, max u2 u3} R (Prod.{u3, u2} E F) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Prod.instAddCommMonoidSum.{u3, u2} E F (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_3)) (Prod.module.{u1, u3, u2} R E F (OrderedSemiring.toSemiring.{u1} R (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u2} F _inst_3) _inst_5 _inst_6))) (Set.prod.{u3, u2} E F s t)) (Set.prod.{u3, u2} E F (OrderHom.toFun.{u3, u3} (Set.{u3} E) (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (ClosureOperator.toOrderHom.{u3} (Set.{u3} E) (PartialOrder.toPreorder.{u3} (Set.{u3} E) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Set.{u3} E) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Set.{u3} E) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} E) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} E) (Set.instCompleteBooleanAlgebraSet.{u3} E))))))) (convexHull.{u1, u3} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_5)) s) (OrderHom.toFun.{u2, u2} (Set.{u2} F) (Set.{u2} F) (PartialOrder.toPreorder.{u2} (Set.{u2} F) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} F) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} F) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} F) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} F) (Set.instCompleteBooleanAlgebraSet.{u2} F))))))) (PartialOrder.toPreorder.{u2} (Set.{u2} F) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} F) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} F) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} F) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} F) (Set.instCompleteBooleanAlgebraSet.{u2} F))))))) (ClosureOperator.toOrderHom.{u2} (Set.{u2} F) (PartialOrder.toPreorder.{u2} (Set.{u2} F) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Set.{u2} F) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Set.{u2} F) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} F) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} F) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} F) (Set.instCompleteBooleanAlgebraSet.{u2} F))))))) (convexHull.{u1, u2} R F (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_3) _inst_6)) t))
+Case conversion may be inaccurate. Consider using '#align convex_hull_prod convexHull_prodₓ'. -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
 @[simp]
@@ -470,11 +646,23 @@ theorem convexHull_prod (s : Set E) (t : Set F) :
     prod_subset_iff.2 fun x hx y => mk_mem_convexHull_prod hx
 #align convex_hull_prod convexHull_prod
 
+/- warning: convex_hull_add -> convexHull_add is a dubious translation:
+lean 3 declaration is
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(Set.completeBooleanAlgebra.{u2} E)))))))) (convexHull.{u1, u2} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) s) (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) 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_inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5) t))
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E) (t : Set.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} 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(LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) (HAdd.hAdd.{u2, u2, u2} (Set.{u2} E) (Set.{u2} E) (Set.{u2} E) (instHAdd.{u2} (Set.{u2} E) (Set.add.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))) s t)) (HAdd.hAdd.{u2, u2, u2} (Set.{u2} E) (Set.{u2} E) (Set.{u2} E) (instHAdd.{u2} (Set.{u2} E) (Set.add.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))) (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} 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(convexHull.{u1, u2} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) t))
+Case conversion may be inaccurate. Consider using '#align convex_hull_add convexHull_addₓ'. -/
 theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + convexHull R t := by
   simp_rw [← image2_add, ← image_prod, is_linear_map.is_linear_map_add.convex_hull_image,
     convexHull_prod]
 #align convex_hull_add convexHull_add
 
+/- warning: convex_hull_sub -> convexHull_sub is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (s : Set.{u2} E) (t : Set.{u2} E), Eq.{succ u2} (Set.{u2} E) (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} 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(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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) t))
+Case conversion may be inaccurate. Consider using '#align convex_hull_sub convexHull_subₓ'. -/
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
 #align convex_hull_sub convexHull_sub
@@ -484,6 +672,12 @@ theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - c
 
 variable (ι) [Fintype ι] {f : ι → R}
 
+/- warning: convex_hull_basis_eq_std_simplex -> convexHull_basis_eq_stdSimplex is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u2}} (ι : Type.{u1}) [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι], Eq.{max (succ u2) (succ u1)} (Set.{max u2 u1} (ι -> R)) (OrderHom.toFun.{max u2 u1, max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (ClosureOperator.toOrderHom.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (PartialOrder.toPreorder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (OmegaCompletePartialOrder.toPartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteLattice.instOmegaCompletePartialOrder.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Order.Coframe.toCompleteLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteDistribLattice.toCoframe.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (CompleteBooleanAlgebra.toCompleteDistribLattice.{max u2 u1} (Set.{max u2 u1} (ι -> R)) (Set.instCompleteBooleanAlgebraSet.{max u2 u1} (ι -> R)))))))) (convexHull.{u2, max u2 u1} R (ι -> R) (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (Pi.addCommMonoid.{u1, u2} ι (fun (j : ι) => R) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (Pi.module.{u1, u2, u2} ι (fun (j : ι) => R) R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))) (fun (i : ι) => Semiring.toModule.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (Set.range.{max u2 u1, succ u1} (ι -> R) ι (fun (i : ι) (j : ι) => ite.{succ u2} R (Eq.{succ u1} ι i j) (Classical.propDecidable (Eq.{succ u1} ι i j)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1)))))))))) (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)
+Case conversion may be inaccurate. Consider using '#align convex_hull_basis_eq_std_simplex convexHull_basis_eq_stdSimplexₓ'. -/
 /-- `std_simplex 𝕜 ι` is the convex hull of the canonical basis in `ι → 𝕜`. -/
 theorem convexHull_basis_eq_stdSimplex :
     convexHull R (range fun i j : ι => if i = j then (1 : R) else 0) = stdSimplex R ι :=
@@ -500,6 +694,12 @@ theorem convexHull_basis_eq_stdSimplex :
 
 variable {ι}
 
+/- warning: set.finite.convex_hull_eq_image -> Set.Finite.convexHull_eq_image is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} 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(LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) _inst_5 (IsScalarTower.left.{u1, u2} R E (Ring.toMonoid.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R E (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => AddCommGroup.toAddCommMonoid.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (OrderedAddCommGroup.toAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (StrictOrderedRing.toOrderedAddCommGroup.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedRing.toStrictOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedCommRing.toLinearOrderedRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) (LinearOrderedField.toLinearOrderedCommRing.{u1} ((fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => R) i) _inst_1)))))) (fun (i : coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) => Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Set.{u2} E) Type.{u2} (Set.hasCoeToSort.{u2} E) s) (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+but is expected to have type
+  forall {R : Type.{u1}} {E : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_2 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} E} (hs : Set.Finite.{u2} E s), Eq.{succ u2} (Set.{u2} E) (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} R E (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5)) s) (Set.image.{max u1 u2, u2} ((Set.Elem.{u2} E s) -> R) E (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R 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_inst_5) ((Set.Elem.{u2} E s) -> R) (fun (_x : (Set.Elem.{u2} E s) -> R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : (Set.Elem.{u2} E s) -> R) => E) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u2} R R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun 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(LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))))) (Finset.sum.{max u1 u2, u2} (LinearMap.{u1, u1, max u1 u2, u2} R R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) ((Set.Elem.{u2} E s) -> R) E (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Set.Elem.{u2} E s) (AffineMap.instAddCommMonoidLinearMapToSemiringIdToNonAssocSemiringToAddCommMonoidToAddCommMonoid.{u1, max u1 u2, u2} R ((Set.Elem.{u2} E s) -> R) E (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))) (Pi.addCommGroup.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedAddCommGroup.toAddCommGroup.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) _inst_2 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) _inst_5) (Finset.univ.{u2} (Set.Elem.{u2} E s) (Set.Finite.fintype.{u2} E s hs)) (fun (x : Set.Elem.{u2} E s) => LinearMap.smulRight.{u1, u1, u2, max u1 u2} R R E ((Set.Elem.{u2} E s) -> R) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (Pi.addCommMonoid.{u2, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1))))))) _inst_5 (Pi.module.{u2, u1, u1} (Set.Elem.{u2} E s) (fun (i : Set.Elem.{u2} E s) => R) R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (x._@.Mathlib.Analysis.Convex.Combination._hyg.8281 : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) _inst_5 (IsScalarTower.left.{u1, u2} R E (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))))) (MulActionWithZero.toMulAction.{u1, u2} R E (Semiring.toMonoidWithZero.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _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} R E (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_5))) (LinearMap.proj.{u1, u2, u1} R (Set.Elem.{u2} E s) (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (fun (i : Set.Elem.{u2} E s) => R) (fun (i : Set.Elem.{u2} E s) => OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) (LinearOrderedField.toLinearOrderedSemifield.{u1} ((fun (i : Set.Elem.{u2} E s) => R) i) _inst_1)))))) (fun (i : Set.Elem.{u2} E s) => Semiring.toModule.{u1} R (StrictOrderedSemiring.toSemiring.{u1} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1)))))) x) (Subtype.val.{succ u2} E (fun (x : E) => Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) x)))) (stdSimplex.{u1, u2} R (Set.Elem.{u2} E s) (OrderedCommSemiring.toOrderedSemiring.{u1} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} R (LinearOrderedField.toLinearOrderedSemifield.{u1} R _inst_1))))) (Set.Finite.fintype.{u2} E s hs)))
+Case conversion may be inaccurate. Consider using '#align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_imageₓ'. -/
 /-- The convex hull of a finite set is the image of the standard simplex in `s → ℝ`
 under the linear map sending each function `w` to `∑ x in s, w x • x`.
 
@@ -518,11 +718,23 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) :
   simp [LinearMap.sum_apply, ite_smul, Finset.filter_eq]
 #align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_image
 
+/- warning: mem_Icc_of_mem_std_simplex -> mem_Icc_of_mem_stdSimplex is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {ι : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} R] [_inst_9 : Fintype.{u2} ι] {f : ι -> R}, (Membership.Mem.{max u2 u1, max u2 u1} (ι -> R) (Set.{max u2 u1} (ι -> R)) (Set.hasMem.{max u2 u1} (ι -> R)) f (stdSimplex.{u1, u2} R ι (StrictOrderedSemiring.toOrderedSemiring.{u1} R (StrictOrderedRing.toStrictOrderedSemiring.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1))))) _inst_9)) -> (forall (x : ι), Membership.Mem.{u1, u1} R (Set.{u1} R) (Set.hasMem.{u1} R) (f x) (Set.Icc.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (StrictOrderedRing.toOrderedAddCommGroup.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (StrictOrderedRing.toRing.{u1} R (LinearOrderedRing.toStrictOrderedRing.{u1} R (LinearOrderedCommRing.toLinearOrderedRing.{u1} R (LinearOrderedField.toLinearOrderedCommRing.{u1} R _inst_1)))))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} {ι : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_9 : Fintype.{u1} ι] {f : ι -> R}, (Membership.mem.{max u2 u1, max u2 u1} (ι -> R) (Set.{max u2 u1} (ι -> R)) (Set.instMembershipSet.{max u2 u1} (ι -> R)) f (stdSimplex.{u2, u1} R ι (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) _inst_9)) -> (forall (x : ι), Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) (f x) (Set.Icc.{u2} R (PartialOrder.toPreorder.{u2} R (StrictOrderedRing.toPartialOrder.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommGroupWithZero.toCommMonoidWithZero.{u2} R (Semifield.toCommGroupWithZero.{u2} R (LinearOrderedSemifield.toSemifield.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))))) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (NonAssocRing.toOne.{u2} R (Ring.toNonAssocRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))))))))
+Case conversion may be inaccurate. Consider using '#align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplexₓ'. -/
 /-- All values of a function `f ∈ std_simplex 𝕜 ι` belong to `[0, 1]`. -/
 theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc (0 : R) 1 :=
   ⟨hf.1 x, hf.2 ▸ Finset.single_le_sum (fun y hy => hf.1 y) (Finset.mem_univ x)⟩
 #align mem_Icc_of_mem_std_simplex mem_Icc_of_mem_stdSimplex
 
+/- warning: affine_basis.convex_hull_eq_nonneg_coord -> AffineBasis.convexHull_eq_nonneg_coord is a dubious translation:
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+  forall {R : Type.{u2}} {E : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} R] [_inst_2 : AddCommGroup.{u1} E] [_inst_5 : Module.{u2, u1} R E (StrictOrderedSemiring.toSemiring.{u2} R (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} R (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} (b : AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5), Eq.{succ u1} (Set.{u1} E) (OrderHom.toFun.{u1, u1} (Set.{u1} E) (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (ClosureOperator.toOrderHom.{u1} (Set.{u1} E) (PartialOrder.toPreorder.{u1} (Set.{u1} E) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} E) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} E) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} E) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} E) (Set.instCompleteBooleanAlgebraSet.{u1} E))))))) (convexHull.{u2, u1} R E (OrderedCommSemiring.toOrderedSemiring.{u2} R (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} R (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} R (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} R (LinearOrderedField.toLinearOrderedSemifield.{u2} R _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_5)) (Set.range.{u1, succ u3} E ι (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AffineBasis.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.AffineSpace.Basis._hyg.252 : ι) => E) _x) (AffineBasis.funLike.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5) b))) (setOf.{u1} E (fun (x : E) => forall (i : ι), LE.le.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Preorder.toLE.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (PartialOrder.toPreorder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (StrictOrderedRing.toPartialOrder.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedRing.toStrictOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedCommRing.toLinearOrderedRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedCommRing.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1)))))) (OfNat.ofNat.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) 0 (Zero.toOfNat0.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommMonoidWithZero.toZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (CommGroupWithZero.toCommMonoidWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (Semifield.toCommGroupWithZero.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedSemifield.toSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) (LinearOrderedField.toLinearOrderedSemifield.{u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) x) _inst_1))))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (AffineMap.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) E (fun (_x : E) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : E) => R) _x) (AffineMap.funLike.{u2, u1, u1, u2, u2} R E E R R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_2 _inst_5 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (Ring.toAddCommGroup.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1))))) (addGroupIsAddTorsor.{u2} R (AddGroupWithOne.toAddGroup.{u2} R (Ring.toAddGroupWithOne.{u2} R (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))))))) (AffineBasis.coord.{u3, u2, u1, u1} ι R E E _inst_2 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (StrictOrderedRing.toRing.{u2} R (LinearOrderedRing.toStrictOrderedRing.{u2} R (LinearOrderedCommRing.toLinearOrderedRing.{u2} R (LinearOrderedField.toLinearOrderedCommRing.{u2} R _inst_1)))) _inst_5 b i) x)))
+Case conversion may be inaccurate. Consider using '#align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coordₓ'. -/
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/
 theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι R E) :

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

@@ -256,7 +256,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
     (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
   by
   rw [affine_combination_eq_weighted_vsub_of_point_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),
-    Finset.weightedVsubOfPoint_apply, vadd_eq_add, add_zero, t.center_mass_eq_of_sum_1 _ hw₂]
+    Finset.weightedVSubOfPoint_apply, vadd_eq_add, add_zero, t.center_mass_eq_of_sum_1 _ hw₂]
   simp_rw [vsub_eq_sub, sub_zero]
 #align affine_combination_eq_center_mass affineCombination_eq_centerMass
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/b685f506164f8d17a6404048bc4d696739c5d976

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 
 ! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 2f4cdce0c2f2f3b8cd58f05d556d03b468e1eb2e
+! leanprover-community/mathlib commit 2de9c37fa71dde2f1c6feff19876dd6a7b1519f0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -253,7 +253,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
-    (hw₂ : (∑ i in t, w i) = 1) : affineCombination t p w = centerMass t w p :=
+    (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p :=
   by
   rw [affine_combination_eq_weighted_vsub_of_point_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),
     Finset.weightedVsubOfPoint_apply, vadd_eq_add, add_zero, t.center_mass_eq_of_sum_1 _ hw₂]
@@ -262,7 +262,7 @@ theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι 
 
 theorem affineCombination_mem_convexHull {s : Finset ι} {v : ι → E} {w : ι → R}
     (hw₀ : ∀ i ∈ s, 0 ≤ w i) (hw₁ : s.Sum w = 1) :
-    s.affineCombination v w ∈ convexHull R (range v) :=
+    s.affineCombination R v w ∈ convexHull R (range v) :=
   by
   rw [affineCombination_eq_centerMass hw₁]
   apply s.center_mass_mem_convex_hull hw₀
@@ -292,7 +292,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) :
     convexHull R (range v) =
       { x |
         ∃ (s : Finset ι)(w : ι → R)(hw₀ : ∀ i ∈ s, 0 ≤ w i)(hw₁ : s.Sum w = 1),
-          s.affineCombination v w = x } :=
+          s.affineCombination R v w = x } :=
   by
   refine' subset.antisymm (convexHull_min _ _) _
   · intro x hx

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

A PR analogous to #12338 and #12361: reformatting proofs following the multiple goals linter of #12339.

@@ -115,11 +115,11 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
 theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
     t.centerMass (fun j => if i = j then (1 : R) else 0) z = z i := by
   rw [Finset.centerMass_eq_of_sum_1]
-  trans ∑ j in t, if i = j then z i else 0
-  · congr with i
-    split_ifs with h
-    exacts [h ▸ one_smul _ _, zero_smul _ _]
-  · rw [sum_ite_eq, if_pos hi]
+  · trans ∑ j in t, if i = j then z i else 0
+    · congr with i
+      split_ifs with h
+      exacts [h ▸ one_smul _ _, zero_smul _ _]
+    · rw [sum_ite_eq, if_pos hi]
   · rw [sum_ite_eq, if_pos hi]
 #align finset.center_mass_ite_eq Finset.centerMass_ite_eq
 

Take the content of

• some of Algebra.BigOperators.List.Basic
• some of Algebra.BigOperators.List.Lemmas
• some of Algebra.BigOperators.Multiset.Basic
• some of Algebra.BigOperators.Multiset.Lemmas
• Algebra.BigOperators.Multiset.Order
• Algebra.BigOperators.Order

and sort it into six files:

• Algebra.Order.BigOperators.Group.List. I credit Yakov for https://github.com/leanprover-community/mathlib/pull/8543.
• Algebra.Order.BigOperators.Group.Multiset. Copyright inherited from Algebra.BigOperators.Multiset.Order.
• Algebra.Order.BigOperators.Group.Finset. Copyright inherited from Algebra.BigOperators.Order.
• Algebra.Order.BigOperators.Ring.List. I credit Stuart for https://github.com/leanprover-community/mathlib/pull/10184.
• Algebra.Order.BigOperators.Ring.Multiset. I credit Ruben for https://github.com/leanprover-community/mathlib/pull/8787.
• Algebra.Order.BigOperators.Ring.Finset. I credit Floris for https://github.com/leanprover-community/mathlib/pull/1294.

Here are the design decisions at play:

• Pure algebra and big operators algebra shouldn't import (algebraic) order theory. This PR makes that better, but not perfect because we still import Data.Nat.Order.Basic in a few List files.
• It's Algebra.Order.BigOperators instead of Algebra.BigOperators.Order because algebraic order theory is more of a theory than big operators algebra. Another reason is that algebraic order theory is the only way to mix pure order and pure algebra, while there are more ways to mix pure finiteness and pure algebra than just big operators.
• There are separate files for group/monoid lemmas vs ring lemmas. Groups/monoids are the natural setup for big operators, so their lemmas shouldn't be mixed with ring lemmas that involves both addition and multiplication. As a result, everything under Algebra.Order.BigOperators.Group should be additivisable (except a few Nat- or Int-specific lemmas). In contrast, things under Algebra.Order.BigOperators.Ring are more prone to having heavy imports.
• Lemmas are separated according to List vs Multiset vs Finset. This is not strictly necessary, and can be relaxed in cases where there aren't that many lemmas to be had. As an example, I could split out the AbsoluteValue lemmas from Algebra.Order.BigOperators.Ring.Finset to a file Algebra.Order.BigOperators.Ring.AbsoluteValue and it could stay this way until too many lemmas are in this file (or a split is needed for import reasons), in which case we would need files Algebra.Order.BigOperators.Ring.AbsoluteValue.Finset, Algebra.Order.BigOperators.Ring.AbsoluteValue.Multiset, etc...
• Finsupp big operator and finprod/finsum order lemmas also belong in Algebra.Order.BigOperators. I haven't done so in this PR because the diff is big enough like that.

@@ -3,7 +3,7 @@ Copyright (c) 2019 Yury Kudriashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 -/
-import Mathlib.Algebra.BigOperators.Order
+import Mathlib.Algebra.Order.BigOperators.Ring.Finset
 import Mathlib.Analysis.Convex.Hull
 import Mathlib.LinearAlgebra.AffineSpace.Basis
 

@@ -136,7 +136,7 @@ theorem Finset.centerMass_subset {t' : Finset ι} (ht : t ⊆ t') (h : ∀ i ∈
 theorem Finset.centerMass_filter_ne_zero :
     (t.filter fun i => w i ≠ 0).centerMass w z = t.centerMass w z :=
   Finset.centerMass_subset z (filter_subset _ _) fun i hit hit' => by
-    simpa only [hit, mem_filter, true_and_iff, Ne.def, Classical.not_not] using hit'
+    simpa only [hit, mem_filter, true_and_iff, Ne, Classical.not_not] using hit'
 #align finset.center_mass_filter_ne_zero Finset.centerMass_filter_ne_zero
 
 namespace Finset
@@ -286,7 +286,7 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
   apply s.centerMass_id_mem_convexHull
   · simp only [inv_nonneg, imp_true_iff, Nat.cast_nonneg, Finset.centroidWeights_apply]
   · have hs_card : (s.card : R) ≠ 0 := by simp [Finset.nonempty_iff_ne_empty.mp hs]
-    simp only [hs_card, Finset.sum_const, nsmul_eq_mul, mul_inv_cancel, Ne.def, not_false_iff,
+    simp only [hs_card, Finset.sum_const, nsmul_eq_mul, mul_inv_cancel, Ne, not_false_iff,
       Finset.centroidWeights_apply, zero_lt_one]
 #align finset.centroid_mem_convex_hull Finset.centroid_mem_convexHull
 

• flip LinearMap.convexHull_image and rename to image_convexHull

• while at it, also flip the direction of convexHull_smul and convexHull_neg to match this

• fix argument order of AffineMap.convexHull_image: have the AffineMap argument come first; there's no good reason not to and this enables dot notation

• inline variable (s : Set E) to achieve this; this is slightly clearer anyway

zulip discussion

@@ -459,7 +459,7 @@ theorem convexHull_prod (s : Set E) (t : Set F) :
 #align convex_hull_prod convexHull_prod
 
 theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + convexHull R t := by
-  simp_rw [← image2_add, ← image_prod, IsLinearMap.isLinearMap_add.convexHull_image,
+  simp_rw [← image2_add, ← image_prod, ← IsLinearMap.isLinearMap_add.image_convexHull,
     convexHull_prod]
 #align convex_hull_add convexHull_add
 
@@ -476,7 +476,7 @@ def convexHullAddMonoidHom : Set E →+ Set E where
 variable {R E}
 
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
-  simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
+  simp_rw [sub_eq_add_neg, convexHull_add, ← convexHull_neg]
 #align convex_hull_sub convexHull_sub
 
 theorem convexHull_list_sum (l : List (Set E)) : convexHull R l.sum = (l.map <| convexHull R).sum :=
@@ -522,7 +522,7 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) : convexHull
     haveI := hs.fintype
     (⇑(∑ x : s, (@LinearMap.proj R s _ (fun _ => R) _ _ x).smulRight x.1)) '' stdSimplex R s := by
   letI := hs.fintype
-  rw [← convexHull_basis_eq_stdSimplex, ← LinearMap.convexHull_image, ← Set.range_comp]
+  rw [← convexHull_basis_eq_stdSimplex, LinearMap.image_convexHull, ← Set.range_comp]
   apply congr_arg
   simp_rw [Function.comp]
   convert Subtype.range_coe.symm

It started with the one in Convex/Combination and spiralled into revisiting all notes with needs in them. The ToLin changes overlap with #11171.

@@ -465,10 +465,9 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 
 variable (R E)
 
--- Porting note: needs `noncomputable` due to `OrderHom.toFun`!?
 /-- `convexHull` is an additive monoid morphism under pointwise addition. -/
 @[simps]
-noncomputable def convexHullAddMonoidHom : Set E →+ Set E where
+def convexHullAddMonoidHom : Set E →+ Set E where
   toFun := convexHull R
   map_add' := convexHull_add
   map_zero' := convexHull_zero

Per the style guidelines, λ is disallowed in mathlib. This is close to exhaustive; I left some tactic code alone when it seemed to me that tactic could be upstreamed soon.

Notes

• In lines I was modifying anyway, I also converted => to ↦.
• Also contains some mild in-passing indentation fixes in Mathlib/Order/SupClosed.
• Some doc comments still contained Lean 3 syntax λ x, , which I also replaced.

@@ -242,7 +242,7 @@ theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ :
 lemma Finset.centerMass_mem_convexHull_of_nonpos (t : Finset ι) (hw₀ : ∀ i ∈ t, w i ≤ 0)
     (hws : ∑ i in t, w i < 0) (hz : ∀ i ∈ t, z i ∈ s) : t.centerMass w z ∈ convexHull R s := by
   rw [← centerMass_neg_left]
-  exact Finset.centerMass_mem_convexHull _ (λ _i hi ↦ neg_nonneg.2 <| hw₀ _ hi) (by simpa) hz
+  exact Finset.centerMass_mem_convexHull _ (fun _i hi ↦ neg_nonneg.2 <| hw₀ _ hi) (by simpa) hz
 
 /-- A refinement of `Finset.centerMass_mem_convexHull` when the indexed family is a `Finset` of
 the space. -/

@@ -527,8 +527,7 @@ theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) : convexHull
   apply congr_arg
   simp_rw [Function.comp]
   convert Subtype.range_coe.symm
-  -- Porting note: Original proof didn't need to specify `(1 : R)`
-  simp [LinearMap.sum_apply, ite_smul _ _ (1 : R), Finset.filter_eq, Finset.mem_univ]
+  simp [LinearMap.sum_apply, ite_smul, Finset.filter_eq, Finset.mem_univ]
 #align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_image
 
 /-- All values of a function `f ∈ stdSimplex 𝕜 ι` belong to `[0, 1]`. -/

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.

@@ -28,7 +28,8 @@ lemmas unconditional on the sum of the weights being `1`.
 
 open Set Function
 
-open BigOperators Classical Pointwise
+open scoped Classical
+open BigOperators Pointwise
 
 universe u u'
 

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".

@@ -464,7 +464,7 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 
 variable (R E)
 
--- porting note: needs `noncomputable` due to `OrderHom.toFun`!?
+-- Porting note: needs `noncomputable` due to `OrderHom.toFun`!?
 /-- `convexHull` is an additive monoid morphism under pointwise addition. -/
 @[simps]
 noncomputable def convexHullAddMonoidHom : Set E →+ Set E where

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

@@ -306,7 +306,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull
     refine' ⟨s ∪ s', W, _, hW₁, _⟩
     · rintro i -
       by_cases hi : i ∈ s <;> by_cases hi' : i ∈ s' <;>
-        simp [hi, hi', add_nonneg, mul_nonneg ha (hw₀ i _), mul_nonneg hb (hw₀' i _)]
+        simp [W, hi, hi', add_nonneg, mul_nonneg ha (hw₀ i _), mul_nonneg hb (hw₀' i _)]
     · simp_rw [affineCombination_eq_linear_combination (s ∪ s') v _ hW₁,
         affineCombination_eq_linear_combination s v w hw₁,
         affineCombination_eq_linear_combination s' v w' hw₁', add_smul, sum_add_distrib]
@@ -569,13 +569,13 @@ lemma AffineIndependent.convexHull_inter (hs : AffineIndependent R ((↑) : s 
   simp_rw [Set.subset_def, mem_inter_iff, Set.inf_eq_inter, ← coe_inter, mem_convexHull']
   rintro x ⟨⟨w₁, h₁w₁, h₂w₁, h₃w₁⟩, w₂, -, h₂w₂, h₃w₂⟩
   let w (x : E) : R := (if x ∈ t₁ then w₁ x else 0) - if x ∈ t₂ then w₂ x else 0
-  have h₁w : ∑ i in s, w i = 0 := by simp [Finset.inter_eq_right.2, *]
+  have h₁w : ∑ i in s, w i = 0 := by simp [w, Finset.inter_eq_right.2, *]
   replace hs := hs.eq_zero_of_sum_eq_zero_subtype h₁w $ by
-    simp only [sub_smul, zero_smul, ite_smul, Finset.sum_sub_distrib, ← Finset.sum_filter, h₃w₁,
+    simp only [w, sub_smul, zero_smul, ite_smul, Finset.sum_sub_distrib, ← Finset.sum_filter, h₃w₁,
       Finset.filter_mem_eq_inter, Finset.inter_eq_right.2 ht₁, Finset.inter_eq_right.2 ht₂, h₃w₂,
       sub_self]
   have ht (x) (hx₁ : x ∈ t₁) (hx₂ : x ∉ t₂) : w₁ x = 0 := by
-    simpa [hx₁, hx₂] using hs _ (ht₁ hx₁)
+    simpa [w, hx₁, hx₂] using hs _ (ht₁ hx₁)
   refine ⟨w₁, ?_, ?_, ?_⟩
   · simp only [and_imp, Finset.mem_inter]
     exact fun y hy₁ _ ↦ h₁w₁ y hy₁

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -295,7 +295,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
     obtain ⟨i, hi⟩ := Set.mem_range.mp hx
-    refine' ⟨{i}, Function.const ι (1 : R), by simp, by simp, by simp [hi]⟩
+    exact ⟨{i}, Function.const ι (1 : R), by simp, by simp, by simp [hi]⟩
   · rintro x ⟨s, w, hw₀, hw₁, rfl⟩ y ⟨s', w', hw₀', hw₁', rfl⟩ a b ha hb hab
     let W : ι → R := fun i => (if i ∈ s then a * w i else 0) + if i ∈ s' then b * w' i else 0
     have hW₁ : (s ∪ s').sum W = 1 := by

when everything is affine independent. Also a related affine span lemma.

From LeanCamCombi

@@ -375,6 +375,14 @@ theorem Finset.mem_convexHull {s : Finset E} {x : E} : x ∈ convexHull R (s : S
   rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
+/-- This is a version of `Finset.mem_convexHull` stated without `Finset.centerMass`. -/
+lemma Finset.mem_convexHull' {s : Finset E} {x : E} :
+    x ∈ convexHull R (s : Set E) ↔
+      ∃ w : E → R, (∀ y ∈ s, 0 ≤ w y) ∧ ∑ y in s, w y = 1 ∧ ∑ y in s, w y • y = x := by
+  rw [mem_convexHull]
+  refine exists_congr fun w ↦ and_congr_right' $ and_congr_right fun hw ↦ ?_
+  simp_rw [centerMass_eq_of_sum_1 _ _ hw, id_eq]
+
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) : convexHull R s =
     { x : E | ∃ w : E → R, (∀ y ∈ s, 0 ≤ w y) ∧ ∑ y in hs.toFinset, w y = 1 ∧
       hs.toFinset.centerMass w id = x } := by
@@ -549,3 +557,37 @@ theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type*} (b : AffineBasis ι
     rw [b.coord_apply_combination_of_mem hi hw₁] at hx
     exact hx
 #align affine_basis.convex_hull_eq_nonneg_coord AffineBasis.convexHull_eq_nonneg_coord
+
+variable {s t t₁ t₂ : Finset E}
+
+/-- Two simplices glue nicely if the union of their vertices is affine independent. -/
+lemma AffineIndependent.convexHull_inter (hs : AffineIndependent R ((↑) : s → E))
+    (ht₁ : t₁ ⊆ s) (ht₂ : t₂ ⊆ s) :
+    convexHull R (t₁ ∩ t₂ : Set E) = convexHull R t₁ ∩ convexHull R t₂ := by
+  refine (Set.subset_inter (convexHull_mono inf_le_left) $
+    convexHull_mono inf_le_right).antisymm ?_
+  simp_rw [Set.subset_def, mem_inter_iff, Set.inf_eq_inter, ← coe_inter, mem_convexHull']
+  rintro x ⟨⟨w₁, h₁w₁, h₂w₁, h₃w₁⟩, w₂, -, h₂w₂, h₃w₂⟩
+  let w (x : E) : R := (if x ∈ t₁ then w₁ x else 0) - if x ∈ t₂ then w₂ x else 0
+  have h₁w : ∑ i in s, w i = 0 := by simp [Finset.inter_eq_right.2, *]
+  replace hs := hs.eq_zero_of_sum_eq_zero_subtype h₁w $ by
+    simp only [sub_smul, zero_smul, ite_smul, Finset.sum_sub_distrib, ← Finset.sum_filter, h₃w₁,
+      Finset.filter_mem_eq_inter, Finset.inter_eq_right.2 ht₁, Finset.inter_eq_right.2 ht₂, h₃w₂,
+      sub_self]
+  have ht (x) (hx₁ : x ∈ t₁) (hx₂ : x ∉ t₂) : w₁ x = 0 := by
+    simpa [hx₁, hx₂] using hs _ (ht₁ hx₁)
+  refine ⟨w₁, ?_, ?_, ?_⟩
+  · simp only [and_imp, Finset.mem_inter]
+    exact fun y hy₁ _ ↦ h₁w₁ y hy₁
+  all_goals
+  · rwa [sum_subset $ inter_subset_left _ _]
+    rintro x
+    simp_intro hx₁ hx₂
+    simp [ht x hx₁ hx₂]
+
+/-- Two simplices glue nicely if the union of their vertices is affine independent.
+
+Note that `AffineIndependent.convexHull_inter` should be more versatile in most use cases. -/
+lemma AffineIndependent.convexHull_inter' (hs : AffineIndependent R ((↑) : ↑(t₁ ∪ t₂) → E)) :
+    convexHull R (t₁ ∩ t₂ : Set E) = convexHull R t₁ ∩ convexHull R t₂ :=
+  hs.convexHull_inter (subset_union_left _ _) (subset_union_right _ _)

A bunch of lemmas in Algebra.BigOperators.Ring were not about rings. This PR moves them along with some lemmas from Data.Fintype.BigOperators to their correct place.

I create a new file with the content from #6605 to avoid importing Fin material in finset files as a result.

From LeanAPAP

@@ -106,7 +106,7 @@ theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι
     a • s.centerMass w₁ z + b • s.centerMass w₂ z =
     s.centerMass (fun i => a * w₁ i + b * w₂ i) z := by
   have hw : (∑ i in s, (a * w₁ i + b * w₂ i)) = 1 := by
-    simp only [mul_sum.symm, sum_add_distrib, mul_one, *]
+    simp only [← mul_sum, sum_add_distrib, mul_one, *]
   simp only [Finset.centerMass_eq_of_sum_1, Finset.centerMass_eq_of_sum_1 _ _ hw,
     smul_sum, sum_add_distrib, add_smul, mul_smul, *]
 #align finset.center_mass_segment Finset.centerMass_segment
@@ -341,7 +341,7 @@ theorem convexHull_eq (s : Set E) : convexHull R s =
       rw [Finset.mem_disjSum] at hi
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> simp only [Sum.elim_inl, Sum.elim_inr] <;>
         apply_rules [mul_nonneg, hwx₀, hwy₀]
-    · simp [Finset.sum_sum_elim, Finset.mul_sum.symm, *]
+    · simp [Finset.sum_sum_elim, ← mul_sum, *]
     · intro i hi
       rw [Finset.mem_disjSum] at hi
       rcases hi with (⟨j, hj, rfl⟩ | ⟨j, hj, rfl⟩) <;> apply_rules [hzx, hzy]
@@ -364,7 +364,7 @@ theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
     refine' ⟨_, _, _, rfl⟩
     · rintro i hi
       apply_rules [add_nonneg, mul_nonneg, hwx₀, hwy₀]
-    · simp only [Finset.sum_add_distrib, Finset.mul_sum.symm, mul_one, *]
+    · simp only [Finset.sum_add_distrib, ← mul_sum, mul_one, *]
   · rintro _ ⟨w, hw₀, hw₁, rfl⟩
     exact
       s.centerMass_mem_convexHull (fun x hx => hw₀ _ hx) (hw₁.symm ▸ zero_lt_one) fun x hx => hx

Generalise pow_ite/ite_pow and give a version of pow_add_pow_le that doesn't require the exponent to be nonzero.

From LeanAPAP

@@ -513,15 +513,13 @@ to prove that this map is linear. -/
 theorem Set.Finite.convexHull_eq_image {s : Set E} (hs : s.Finite) : convexHull R s =
     haveI := hs.fintype
     (⇑(∑ x : s, (@LinearMap.proj R s _ (fun _ => R) _ _ x).smulRight x.1)) '' stdSimplex R s := by
-  -- Porting note: Original proof didn't need to specify `hs.fintype`
-  rw [← @convexHull_basis_eq_stdSimplex _ _ _ hs.fintype, ← LinearMap.convexHull_image,
-    ← Set.range_comp]
-  simp_rw [Function.comp]
+  letI := hs.fintype
+  rw [← convexHull_basis_eq_stdSimplex, ← LinearMap.convexHull_image, ← Set.range_comp]
   apply congr_arg
+  simp_rw [Function.comp]
   convert Subtype.range_coe.symm
-  -- Porting note: Original proof didn't need to specify `hs.fintype` and `(1 : R)`
-  simp [LinearMap.sum_apply, ite_smul _ (1 : R), Finset.filter_eq,
-    @Finset.mem_univ _ hs.fintype _]
+  -- Porting note: Original proof didn't need to specify `(1 : R)`
+  simp [LinearMap.sum_apply, ite_smul _ _ (1 : R), Finset.filter_eq, Finset.mem_univ]
 #align set.finite.convex_hull_eq_image Set.Finite.convexHull_eq_image
 
 /-- All values of a function `f ∈ stdSimplex 𝕜 ι` belong to `[0, 1]`. -/

See Zulip thread for the discussion.

@@ -241,7 +241,7 @@ theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ :
 lemma Finset.centerMass_mem_convexHull_of_nonpos (t : Finset ι) (hw₀ : ∀ i ∈ t, w i ≤ 0)
     (hws : ∑ i in t, w i < 0) (hz : ∀ i ∈ t, z i ∈ s) : t.centerMass w z ∈ convexHull R s := by
   rw [← centerMass_neg_left]
-  exact Finset.centerMass_mem_convexHull _ (λ _i hi ↦ neg_nonneg.2 $ hw₀ _ hi) (by simpa) hz
+  exact Finset.centerMass_mem_convexHull _ (λ _i hi ↦ neg_nonneg.2 <| hw₀ _ hi) (by simpa) hz
 
 /-- A refinement of `Finset.centerMass_mem_convexHull` when the indexed family is a `Finset` of
 the space. -/

Remove the duplicates introduced in #8869 by sorting the lemmas in Algebra.Order.SMul into three files:

• Algebra.Order.Module.Defs for the order isomorphism induced by scalar multiplication by a positivity element
• Algebra.Order.Module.Pointwise for the order properties of scalar multiplication of sets. This file is new. I credit myself for https://github.com/leanprover-community/mathlib/pull/9078
• Algebra.Order.Module.OrderedSMul: The material about OrderedSMul per se. Inherits the copyright header from Algebra.Order.SMul. This file should eventually be deleted.

I move each #align to the correct file. On top of that, I delete unused redundant OrderedSMul instances (they were useful in Lean 3, but not anymore) and eq_of_smul_eq_smul_of_pos_of_le/eq_of_smul_eq_smul_of_neg_of_le since those lemmas are weird and unused.

@@ -143,8 +143,8 @@ namespace Finset
 theorem centerMass_le_sup {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)
     (hw₁ : 0 < ∑ i in s, w i) :
     s.centerMass w f ≤ s.sup' (nonempty_of_ne_empty <| by rintro rfl; simp at hw₁) f := by
-  rw [centerMass, inv_smul_le_iff hw₁, sum_smul]
-  exact sum_le_sum fun i hi => smul_le_smul_of_nonneg (le_sup' _ hi) <| hw₀ i hi
+  rw [centerMass, inv_smul_le_iff_of_pos hw₁, sum_smul]
+  exact sum_le_sum fun i hi => smul_le_smul_of_nonneg_left (le_sup' _ hi) <| hw₀ i hi
 #align finset.center_mass_le_sup Finset.centerMass_le_sup
 
 theorem inf_le_centerMass {s : Finset ι} {f : ι → α} {w : ι → R} (hw₀ : ∀ i ∈ s, 0 ≤ w i)

Search for [∀∃].*(_ and manually replace some occurrences with more readable versions. In case of ∀, the new expressions are defeq to the old ones. In case of ∃, they differ by exists_prop.

In some rare cases, golf proofs that needed fixing.

@@ -290,8 +290,8 @@ theorem Finset.centroid_mem_convexHull (s : Finset E) (hs : s.Nonempty) :
 #align finset.centroid_mem_convex_hull Finset.centroid_mem_convexHull
 
 theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull R (range v) =
-    { x | ∃ (s : Finset ι) (w : ι → R) (_ : ∀ i ∈ s, 0 ≤ w i) (_ : s.sum w = 1),
-    s.affineCombination R v w = x } := by
+    { x | ∃ (s : Finset ι) (w : ι → R), (∀ i ∈ s, 0 ≤ w i) ∧ s.sum w = 1 ∧
+      s.affineCombination R v w = x } := by
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
     obtain ⟨i, hi⟩ := Set.mem_range.mp hx
@@ -326,8 +326,8 @@ For universe reasons, you shouldn't use this lemma to prove that a given center
 to the convex hull. Use convexity of the convex hull instead.
 -/
 theorem convexHull_eq (s : Set E) : convexHull R s =
-    { x : E | ∃ (ι : Type) (t : Finset ι) (w : ι → R) (z : ι → E) (_ : ∀ i ∈ t, 0 ≤ w i)
-    (_ : ∑ i in t, w i = 1) (_ : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } := by
+    { x : E | ∃ (ι : Type) (t : Finset ι) (w : ι → R) (z : ι → E), (∀ i ∈ t, 0 ≤ w i) ∧
+      ∑ i in t, w i = 1 ∧ (∀ i ∈ t, z i ∈ s) ∧ t.centerMass w z = x } := by
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
     use PUnit, {PUnit.unit}, fun _ => 1, fun _ => x, fun _ _ => zero_le_one, sum_singleton _ _,
@@ -350,8 +350,7 @@ theorem convexHull_eq (s : Set E) : convexHull R s =
 #align convex_hull_eq convexHull_eq
 
 theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
-    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in s, w y = 1),
-    s.centerMass w id = x } := by
+    { x : E | ∃ w : E → R, (∀ y ∈ s, 0 ≤ w y) ∧ ∑ y in s, w y = 1 ∧ s.centerMass w id = x } := by
   refine' Set.Subset.antisymm (convexHull_min _ _) _
   · intro x hx
     rw [Finset.mem_coe] at hx
@@ -372,13 +371,13 @@ theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
 #align finset.convex_hull_eq Finset.convexHull_eq
 
 theorem Finset.mem_convexHull {s : Finset E} {x : E} : x ∈ convexHull R (s : Set E) ↔
-    ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in s, w y = 1), s.centerMass w id = x := by
+    ∃ w : E → R, (∀ y ∈ s, 0 ≤ w y) ∧ ∑ y in s, w y = 1 ∧ s.centerMass w id = x := by
   rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) : convexHull R s =
-    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in hs.toFinset, w y = 1),
-    hs.toFinset.centerMass w id = x } := by
+    { x : E | ∃ w : E → R, (∀ y ∈ s, 0 ≤ w y) ∧ ∑ y in hs.toFinset, w y = 1 ∧
+      hs.toFinset.centerMass w id = x } := by
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
     hs.toFinset.convexHull_eq
 #align set.finite.convex_hull_eq Set.Finite.convexHull_eq

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

@@ -76,7 +76,7 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
 lemma Finset.centerMass_smul_left {c : R'} [Module R' R] [Module R' E] [SMulCommClass R' R R]
     [IsScalarTower R' R R] [SMulCommClass R R' E] [IsScalarTower R' R E] (hc : c ≠ 0) :
     t.centerMass (c • w) z = t.centerMass w z := by
-  simp [centerMass, -smul_assoc, smul_assoc c, ←smul_sum, smul_inv₀, smul_smul_smul_comm, hc]
+  simp [centerMass, -smul_assoc, smul_assoc c, ← smul_sum, smul_inv₀, smul_smul_smul_comm, hc]
 
 theorem Finset.centerMass_eq_of_sum_1 (hw : ∑ i in t, w i = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
@@ -160,7 +160,7 @@ variable {z}
 lemma Finset.centerMass_of_sum_add_sum_eq_zero {s t : Finset ι}
     (hw : ∑ i in s, w i + ∑ i in t, w i = 0) (hz : ∑ i in s, w i • z i + ∑ i in t, w i • z i = 0) :
     s.centerMass w z = t.centerMass w z := by
-  simp [centerMass, eq_neg_of_add_eq_zero_right hw, eq_neg_of_add_eq_zero_left hz, ←neg_inv]
+  simp [centerMass, eq_neg_of_add_eq_zero_right hw, eq_neg_of_add_eq_zero_left hz, ← neg_inv]
 
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
@@ -240,7 +240,7 @@ theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ :
 /-- A version of `Finset.centerMass_mem_convexHull` for when the weights are nonpositive. -/
 lemma Finset.centerMass_mem_convexHull_of_nonpos (t : Finset ι) (hw₀ : ∀ i ∈ t, w i ≤ 0)
     (hws : ∑ i in t, w i < 0) (hz : ∀ i ∈ t, z i ∈ s) : t.centerMass w z ∈ convexHull R s := by
-  rw [←centerMass_neg_left]
+  rw [← centerMass_neg_left]
   exact Finset.centerMass_mem_convexHull _ (λ _i hi ↦ neg_nonneg.2 $ hw₀ _ hi) (by simpa) hz
 
 /-- A refinement of `Finset.centerMass_mem_convexHull` when the indexed family is a `Finset` of

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

@@ -74,7 +74,7 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
   simp [centerMass, inv_neg]
 
 lemma Finset.centerMass_smul_left {c : R'} [Module R' R] [Module R' E] [SMulCommClass R' R R]
-  [IsScalarTower R' R R] [SMulCommClass R R' E] [IsScalarTower R' R E] (hc : c ≠ 0) :
+    [IsScalarTower R' R R] [SMulCommClass R R' E] [IsScalarTower R' R E] (hc : c ≠ 0) :
     t.centerMass (c • w) z = t.centerMass w z := by
   simp [centerMass, -smul_assoc, smul_assoc c, ←smul_sum, smul_inv₀, smul_smul_smul_comm, hc]
 
@@ -252,7 +252,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 
 /-- A version of `Finset.centerMass_mem_convexHull` for when the weights are nonpositive. -/
 lemma Finset.centerMass_id_mem_convexHull_of_nonpos (t : Finset E) {w : E → R}
-  (hw₀ : ∀ i ∈ t, w i ≤ 0) (hws : ∑ i in t, w i < 0) :
+    (hw₀ : ∀ i ∈ t, w i ≤ 0) (hws : ∑ i in t, w i < 0) :
     t.centerMass w id ∈ convexHull R (t : Set E) :=
   t.centerMass_mem_convexHull_of_nonpos hw₀ hws fun _ ↦ mem_coe.2
 

Also fix implicitness of arguments to Finset.sum_singleton.

@@ -330,7 +330,7 @@ theorem convexHull_eq (s : Set E) : convexHull R s =
     (_ : ∑ i in t, w i = 1) (_ : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } := by
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
-    use PUnit, {PUnit.unit}, fun _ => 1, fun _ => x, fun _ _ => zero_le_one, Finset.sum_singleton,
+    use PUnit, {PUnit.unit}, fun _ => 1, fun _ => x, fun _ _ => zero_le_one, sum_singleton _ _,
       fun _ _ => hx
     simp only [Finset.centerMass, Finset.sum_singleton, inv_one, one_smul]
   · rintro x ⟨ι, sx, wx, zx, hwx₀, hwx₁, hzx, rfl⟩ y ⟨ι', sy, wy, zy, hwy₀, hwy₁, hzy, rfl⟩ a b ha

Add Radon's theorem on convex sets

Co-authored-by: Vasily Nesterov <118051017+vasnesterov@users.noreply.github.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

@@ -32,8 +32,9 @@ open BigOperators Classical Pointwise
 
 universe u u'
 
-variable {R E F ι ι' α : Type*} [LinearOrderedField R] [AddCommGroup E] [AddCommGroup F]
-  [LinearOrderedAddCommGroup α] [Module R E] [Module R F] [Module R α] [OrderedSMul R α] {s : Set E}
+variable {R R' E F ι ι' α : Type*} [LinearOrderedField R] [LinearOrderedField R'] [AddCommGroup E]
+  [AddCommGroup F] [LinearOrderedAddCommGroup α] [Module R E] [Module R F] [Module R α]
+  [OrderedSMul R α] {s : Set E}
 
 /-- Center of mass of a finite collection of points with prescribed weights.
 Note that we require neither `0 ≤ w i` nor `∑ w = 1`. -/
@@ -69,6 +70,14 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
   rw [centerMass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
 
+@[simp] lemma Finset.centerMass_neg_left : t.centerMass (-w) z = t.centerMass w z := by
+  simp [centerMass, inv_neg]
+
+lemma Finset.centerMass_smul_left {c : R'} [Module R' R] [Module R' E] [SMulCommClass R' R R]
+  [IsScalarTower R' R R] [SMulCommClass R R' E] [IsScalarTower R' R E] (hc : c ≠ 0) :
+    t.centerMass (c • w) z = t.centerMass w z := by
+  simp [centerMass, -smul_assoc, smul_assoc c, ←smul_sum, smul_inv₀, smul_smul_smul_comm, hc]
+
 theorem Finset.centerMass_eq_of_sum_1 (hw : ∑ i in t, w i = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
@@ -148,6 +157,11 @@ end Finset
 
 variable {z}
 
+lemma Finset.centerMass_of_sum_add_sum_eq_zero {s t : Finset ι}
+    (hw : ∑ i in s, w i + ∑ i in t, w i = 0) (hz : ∑ i in s, w i • z i + ∑ i in t, w i • z i = 0) :
+    s.centerMass w z = t.centerMass w z := by
+  simp [centerMass, eq_neg_of_add_eq_zero_right hw, eq_neg_of_add_eq_zero_left hz, ←neg_inv]
+
 /-- The center of mass of a finite subset of a convex set belongs to the set
 provided that all weights are non-negative, and the total weight is positive. -/
 theorem Convex.centerMass_mem (hs : Convex R s) :
@@ -223,6 +237,12 @@ theorem Finset.centerMass_mem_convexHull (t : Finset ι) {w : ι → R} (hw₀ :
   (convex_convexHull R s).centerMass_mem hw₀ hws fun i hi => subset_convexHull R s <| hz i hi
 #align finset.center_mass_mem_convex_hull Finset.centerMass_mem_convexHull
 
+/-- A version of `Finset.centerMass_mem_convexHull` for when the weights are nonpositive. -/
+lemma Finset.centerMass_mem_convexHull_of_nonpos (t : Finset ι) (hw₀ : ∀ i ∈ t, w i ≤ 0)
+    (hws : ∑ i in t, w i < 0) (hz : ∀ i ∈ t, z i ∈ s) : t.centerMass w z ∈ convexHull R s := by
+  rw [←centerMass_neg_left]
+  exact Finset.centerMass_mem_convexHull _ (λ _i hi ↦ neg_nonneg.2 $ hw₀ _ hi) (by simpa) hz
+
 /-- A refinement of `Finset.centerMass_mem_convexHull` when the indexed family is a `Finset` of
 the space. -/
 theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀ : ∀ i ∈ t, 0 ≤ w i)
@@ -230,6 +250,12 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
   t.centerMass_mem_convexHull hw₀ hws fun _ => mem_coe.2
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
+/-- A version of `Finset.centerMass_mem_convexHull` for when the weights are nonpositive. -/
+lemma Finset.centerMass_id_mem_convexHull_of_nonpos (t : Finset E) {w : E → R}
+  (hw₀ : ∀ i ∈ t, w i ≤ 0) (hws : ∑ i in t, w i < 0) :
+    t.centerMass w id ∈ convexHull R (t : Set E) :=
+  t.centerMass_mem_convexHull_of_nonpos hw₀ hws fun _ ↦ mem_coe.2
+
 theorem affineCombination_eq_centerMass {ι : Type*} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : ∑ i in t, w i = 1) : t.affineCombination R p w = centerMass t w p := by
   rw [affineCombination_eq_weightedVSubOfPoint_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),

@@ -192,7 +192,7 @@ theorem Convex.finsum_mem {ι : Sort*} {w : ι → R} {z : ι → E} {s : Set E}
     exact zero_ne_one h₁
   have hsub : support ((fun i => w i • z i) ∘ PLift.down) ⊆ hfin_w.toFinset :=
     (support_smul_subset_left _ _).trans hfin_w.coe_toFinset.ge
-  rw [finsum_eq_sum_pLift_of_support_subset hsub]
+  rw [finsum_eq_sum_plift_of_support_subset hsub]
   refine' hs.sum_mem (fun _ _ => h₀ _) _ fun i hi => hz _ _
   · rwa [finsum, dif_pos hfin_w] at h₁
   · rwa [hfin_w.mem_toFinset] at hi

@@ -432,7 +432,7 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
 variable (R E)
 
 -- porting note: needs `noncomputable` due to `OrderHom.toFun`!?
-/-- `convex_hull` is an additive monoid morphism under pointwise addition. -/
+/-- `convexHull` is an additive monoid morphism under pointwise addition. -/
 @[simps]
 noncomputable def convexHullAddMonoidHom : Set E →+ Set E where
   toFun := convexHull R

@@ -296,7 +296,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull
 
 /--
 Convex hull of `s` is equal to the set of all centers of masses of `Finset`s `t`, `z '' t ⊆ s`.
-For universe reasons, you shouldn't use this lemma to prove that a given center of mass belongs 
+For universe reasons, you shouldn't use this lemma to prove that a given center of mass belongs
 to the convex hull. Use convexity of the convex hull instead.
 -/
 theorem convexHull_eq (s : Set E) : convexHull R s =

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

@@ -294,10 +294,13 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull
     exact affineCombination_mem_convexHull hw₀ hw₁
 #align convex_hull_range_eq_exists_affine_combination convexHull_range_eq_exists_affineCombination
 
-/-- Convex hull of `s` is equal to the set of all centers of masses of `Finset`s `t`, `z '' t ⊆ s`.
-This version allows finsets in any type in any universe. -/
+/--
+Convex hull of `s` is equal to the set of all centers of masses of `Finset`s `t`, `z '' t ⊆ s`.
+For universe reasons, you shouldn't use this lemma to prove that a given center of mass belongs 
+to the convex hull. Use convexity of the convex hull instead.
+-/
 theorem convexHull_eq (s : Set E) : convexHull R s =
-    { x : E | ∃ (ι : Type u') (t : Finset ι) (w : ι → R) (z : ι → E) (_ : ∀ i ∈ t, 0 ≤ w i)
+    { x : E | ∃ (ι : Type) (t : Finset ι) (w : ι → R) (z : ι → E) (_ : ∀ i ∈ t, 0 ≤ w i)
     (_ : ∑ i in t, w i = 1) (_ : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } := by
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -359,8 +362,7 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
     convexHull R s = ⋃ (t : Finset E) (w : ↑t ⊆ s), convexHull R ↑t := by
   refine' Subset.antisymm _ _
   · rw [_root_.convexHull_eq]
-    -- Porting note: We have to specify the universe of `ι`
-    rintro x ⟨ι : Type u_1, t, w, z, hw₀, hw₁, hz, rfl⟩
+    rintro x ⟨ι, t, w, z, hw₀, hw₁, hz, rfl⟩
     simp only [mem_iUnion]
     refine' ⟨t.image z, _, _⟩
     · rw [coe_image, Set.image_subset_iff]
@@ -374,9 +376,8 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
 theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHull R s)
     (hy : y ∈ convexHull R t) : (x, y) ∈ convexHull R (s ×ˢ t) := by
   rw [_root_.convexHull_eq] at hx hy ⊢
-  -- Porting note: We have to specify the universe of `ι` and `κ`
-  obtain ⟨ι : Type u_1, a, w, S, hw, hw', hS, hSp⟩ := hx
-  obtain ⟨κ : Type u_1, b, v, T, hv, hv', hT, hTp⟩ := hy
+  obtain ⟨ι, a, w, S, hw, hw', hS, hSp⟩ := hx
+  obtain ⟨κ, b, v, T, hv, hv', hT, hTp⟩ := hy
   have h_sum : ∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd = 1 := by
     rw [Finset.sum_product, ← hw']
     congr

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

This has nice performance benefits.

@@ -32,7 +32,7 @@ open BigOperators Classical Pointwise
 
 universe u u'
 
-variable {R E F ι ι' α : Type _} [LinearOrderedField R] [AddCommGroup E] [AddCommGroup F]
+variable {R E F ι ι' α : Type*} [LinearOrderedField R] [AddCommGroup E] [AddCommGroup F]
   [LinearOrderedAddCommGroup α] [Module R E] [Module R F] [Module R α] [OrderedSMul R α] {s : Set E}
 
 /-- Center of mass of a finite collection of points with prescribed weights.
@@ -183,7 +183,7 @@ theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ :
 nonnegative weights with sum one and `z : ι → E` is a family of elements of a module over `R` such
 that `z i ∈ s` whenever `w i ≠ 0`, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
 `PartitionOfUnity.finsum_smul_mem_convex`. -/
-theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E} (hs : Convex R s)
+theorem Convex.finsum_mem {ι : Sort*} {w : ι → R} {z : ι → E} {s : Set E} (hs : Convex R s)
     (h₀ : ∀ i, 0 ≤ w i) (h₁ : ∑ᶠ i, w i = 1) (hz : ∀ i, w i ≠ 0 → z i ∈ s) :
     (∑ᶠ i, w i • z i) ∈ s := by
   have hfin_w : (support (w ∘ PLift.down)).Finite := by
@@ -230,7 +230,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
   t.centerMass_mem_convexHull hw₀ hws fun _ => mem_coe.2
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
-theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
+theorem affineCombination_eq_centerMass {ι : Type*} {t : Finset ι} {p : ι → E} {w : ι → R}
     (hw₂ : ∑ i in t, w i = 1) : t.affineCombination R p w = centerMass t w p := by
   rw [affineCombination_eq_weightedVSubOfPoint_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),
     Finset.weightedVSubOfPoint_apply, vadd_eq_add, add_zero, t.centerMass_eq_of_sum_1 _ hw₂]
@@ -505,7 +505,7 @@ theorem mem_Icc_of_mem_stdSimplex (hf : f ∈ stdSimplex R ι) (x) : f x ∈ Icc
 
 /-- The convex hull of an affine basis is the intersection of the half-spaces defined by the
 corresponding barycentric coordinates. -/
-theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type _} (b : AffineBasis ι R E) :
+theorem AffineBasis.convexHull_eq_nonneg_coord {ι : Type*} (b : AffineBasis ι R E) :
     convexHull R (range b) = { x | ∀ i, 0 ≤ b.coord i x } := by
   rw [convexHull_range_eq_exists_affineCombination]
   ext x

• 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) 2019 Yury Kudriashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
-
-! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 92bd7b1ffeb306a89f450bee126ddd8a284c259d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.BigOperators.Order
 import Mathlib.Analysis.Convex.Hull
 import Mathlib.LinearAlgebra.AffineSpace.Basis
 
+#align_import analysis.convex.combination from "leanprover-community/mathlib"@"92bd7b1ffeb306a89f450bee126ddd8a284c259d"
+
 /-!
 # Convex combinations
 

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudriashov
 
 ! This file was ported from Lean 3 source module analysis.convex.combination
-! leanprover-community/mathlib commit 2de9c37fa71dde2f1c6feff19876dd6a7b1519f0
+! leanprover-community/mathlib commit 92bd7b1ffeb306a89f450bee126ddd8a284c259d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -431,10 +431,37 @@ theorem convexHull_add (s t : Set E) : convexHull R (s + t) = convexHull R s + c
     convexHull_prod]
 #align convex_hull_add convexHull_add
 
+variable (R E)
+
+-- porting note: needs `noncomputable` due to `OrderHom.toFun`!?
+/-- `convex_hull` is an additive monoid morphism under pointwise addition. -/
+@[simps]
+noncomputable def convexHullAddMonoidHom : Set E →+ Set E where
+  toFun := convexHull R
+  map_add' := convexHull_add
+  map_zero' := convexHull_zero
+#align convex_hull_add_monoid_hom convexHullAddMonoidHom
+
+variable {R E}
+
 theorem convexHull_sub (s t : Set E) : convexHull R (s - t) = convexHull R s - convexHull R t := by
   simp_rw [sub_eq_add_neg, convexHull_add, convexHull_neg]
 #align convex_hull_sub convexHull_sub
 
+theorem convexHull_list_sum (l : List (Set E)) : convexHull R l.sum = (l.map <| convexHull R).sum :=
+  map_list_sum (convexHullAddMonoidHom R E) l
+#align convex_hull_list_sum convexHull_list_sum
+
+theorem convexHull_multiset_sum (s : Multiset (Set E)) :
+    convexHull R s.sum = (s.map <| convexHull R).sum :=
+  map_multiset_sum (convexHullAddMonoidHom R E) s
+#align convex_hull_multiset_sum convexHull_multiset_sum
+
+theorem convexHull_sum {ι} (s : Finset ι) (t : ι → Set E) :
+    convexHull R (∑ i in s, t i) = ∑ i in s, convexHull R (t i) :=
+  map_sum (convexHullAddMonoidHom R E) _ _
+#align convex_hull_sum convexHull_sum
+
 /-! ### `stdSimplex` -/
 
 

• Also remove most superfluous parentheses around big operators (∑, ∏ and variants).
• roughly the used regex: ([^a-zA-Zα-ωΑ-Ω'𝓝ℳ₀𝕂ₛ)]) \(([∑∏][^()∑∏]*,[^()∑∏:]*)\) ([⊂⊆=<≤]) replaced by $1 $2 $3

@@ -59,7 +59,7 @@ theorem Finset.centerMass_pair (hne : i ≠ j) :
 
 variable {w}
 
-theorem Finset.centerMass_insert (ha : i ∉ t) (hw : (∑ j in t, w j) ≠ 0) :
+theorem Finset.centerMass_insert (ha : i ∉ t) (hw : ∑ j in t, w j ≠ 0) :
     (insert i t).centerMass w z =
       (w i / (w i + ∑ j in t, w j)) • z i +
         ((∑ j in t, w j) / (w i + ∑ j in t, w j)) • t.centerMass w z := by
@@ -72,7 +72,7 @@ theorem Finset.centerMass_singleton (hw : w i ≠ 0) : ({i} : Finset ι).centerM
   rw [centerMass, sum_singleton, sum_singleton, ← mul_smul, inv_mul_cancel hw, one_smul]
 #align finset.center_mass_singleton Finset.centerMass_singleton
 
-theorem Finset.centerMass_eq_of_sum_1 (hw : (∑ i in t, w i) = 1) :
+theorem Finset.centerMass_eq_of_sum_1 (hw : ∑ i in t, w i = 1) :
     t.centerMass w z = ∑ i in t, w i • z i := by
   simp only [Finset.centerMass, hw, inv_one, one_smul]
 #align finset.center_mass_eq_of_sum_1 Finset.centerMass_eq_of_sum_1
@@ -84,7 +84,7 @@ theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.c
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
-    (wt : ι' → R) (zt : ι' → E) (hws : (∑ i in s, ws i) = 1) (hwt : (∑ i in t, wt i) = 1) (a b : R)
+    (wt : ι' → R) (zt : ι' → E) (hws : ∑ i in s, ws i = 1) (hwt : ∑ i in t, wt i = 1) (a b : R)
     (hab : a + b = 1) : a • s.centerMass ws zs + b • t.centerMass wt zt = (s.disjSum t).centerMass
     (Sum.elim (fun i => a * ws i) fun j => b * wt j) (Sum.elim zs zt) := by
   rw [s.centerMass_eq_of_sum_1 _ hws, t.centerMass_eq_of_sum_1 _ hwt, smul_sum, smul_sum, ←
@@ -96,7 +96,7 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
 /-- A convex combination of two centers of mass is a center of mass as well. This version
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
-    (hw₁ : (∑ i in s, w₁ i) = 1) (hw₂ : (∑ i in s, w₂ i) = 1) (a b : R) (hab : a + b = 1) :
+    (hw₁ : ∑ i in s, w₁ i = 1) (hw₂ : ∑ i in s, w₂ i = 1) (a b : R) (hab : a + b = 1) :
     a • s.centerMass w₁ z + b • s.centerMass w₂ z =
     s.centerMass (fun i => a * w₁ i + b * w₂ i) z := by
   have hw : (∑ i in s, (a * w₁ i + b * w₂ i)) = 1 := by
@@ -161,9 +161,9 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
   have zi : z i ∈ s := hmem _ (mem_insert_self _ _)
   have hs₀ : ∀ j ∈ t, 0 ≤ w j := fun j hj => h₀ j <| mem_insert_of_mem hj
   rw [sum_insert hi] at hpos
-  by_cases hsum_t : (∑ j in t, w j) = 0
+  by_cases hsum_t : ∑ j in t, w j = 0
   · have ws : ∀ j ∈ t, w j = 0 := (sum_eq_zero_iff_of_nonneg hs₀).1 hsum_t
-    have wz : (∑ j in t, w j • z j) = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
+    have wz : ∑ j in t, w j • z j = 0 := sum_eq_zero fun i hi => by simp [ws i hi]
     simp only [centerMass, sum_insert hi, wz, hsum_t, add_zero]
     simp only [hsum_t, add_zero] at hpos
     rw [← mul_smul, inv_mul_cancel (ne_of_gt hpos), one_smul]
@@ -176,7 +176,7 @@ theorem Convex.centerMass_mem (hs : Convex R s) :
     · exact h₀ _ (mem_insert_self _ _)
 #align convex.center_mass_mem Convex.centerMass_mem
 
-theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : (∑ i in t, w i) = 1)
+theorem Convex.sum_mem (hs : Convex R s) (h₀ : ∀ i ∈ t, 0 ≤ w i) (h₁ : ∑ i in t, w i = 1)
     (hz : ∀ i ∈ t, z i ∈ s) : (∑ i in t, w i • z i) ∈ s := by
   simpa only [h₁, centerMass, inv_one, one_smul] using
     hs.centerMass_mem h₀ (h₁.symm ▸ zero_lt_one) hz
@@ -187,7 +187,7 @@ nonnegative weights with sum one and `z : ι → E` is a family of elements of a
 that `z i ∈ s` whenever `w i ≠ 0`, then the sum `∑ᶠ i, w i • z i` belongs to `s`. See also
 `PartitionOfUnity.finsum_smul_mem_convex`. -/
 theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E} (hs : Convex R s)
-    (h₀ : ∀ i, 0 ≤ w i) (h₁ : (∑ᶠ i, w i) = 1) (hz : ∀ i, w i ≠ 0 → z i ∈ s) :
+    (h₀ : ∀ i, 0 ≤ w i) (h₁ : ∑ᶠ i, w i = 1) (hz : ∀ i, w i ≠ 0 → z i ∈ s) :
     (∑ᶠ i, w i • z i) ∈ s := by
   have hfin_w : (support (w ∘ PLift.down)).Finite := by
     by_contra H
@@ -202,7 +202,7 @@ theorem Convex.finsum_mem {ι : Sort _} {w : ι → R} {z : ι → E} {s : Set E
 #align convex.finsum_mem Convex.finsum_mem
 
 theorem convex_iff_sum_mem : Convex R s ↔ ∀ (t : Finset E) (w : E → R),
-    (∀ i ∈ t, 0 ≤ w i) → (∑ i in t, w i) = 1 → (∀ x ∈ t, x ∈ s) → (∑ x in t, w x • x) ∈ s := by
+    (∀ i ∈ t, 0 ≤ w i) → ∑ i in t, w i = 1 → (∀ x ∈ t, x ∈ s) → (∑ x in t, w x • x) ∈ s := by
   refine' ⟨fun hs t w hw₀ hw₁ hts => hs.sum_mem hw₀ hw₁ hts, _⟩
   intro h x hx y hy a b ha hb hab
   by_cases h_cases : x = y
@@ -234,7 +234,7 @@ theorem Finset.centerMass_id_mem_convexHull (t : Finset E) {w : E → R} (hw₀
 #align finset.center_mass_id_mem_convex_hull Finset.centerMass_id_mem_convexHull
 
 theorem affineCombination_eq_centerMass {ι : Type _} {t : Finset ι} {p : ι → E} {w : ι → R}
-    (hw₂ : (∑ i in t, w i) = 1) : t.affineCombination R p w = centerMass t w p := by
+    (hw₂ : ∑ i in t, w i = 1) : t.affineCombination R p w = centerMass t w p := by
   rw [affineCombination_eq_weightedVSubOfPoint_vadd_of_sum_eq_one _ w _ hw₂ (0 : E),
     Finset.weightedVSubOfPoint_apply, vadd_eq_add, add_zero, t.centerMass_eq_of_sum_1 _ hw₂]
   simp_rw [vsub_eq_sub, sub_zero]
@@ -301,7 +301,7 @@ theorem convexHull_range_eq_exists_affineCombination (v : ι → E) : convexHull
 This version allows finsets in any type in any universe. -/
 theorem convexHull_eq (s : Set E) : convexHull R s =
     { x : E | ∃ (ι : Type u') (t : Finset ι) (w : ι → R) (z : ι → E) (_ : ∀ i ∈ t, 0 ≤ w i)
-    (_ : (∑ i in t, w i) = 1) (_ : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } := by
+    (_ : ∑ i in t, w i = 1) (_ : ∀ i ∈ t, z i ∈ s), t.centerMass w z = x } := by
   refine' Subset.antisymm (convexHull_min _ _) _
   · intro x hx
     use PUnit, {PUnit.unit}, fun _ => 1, fun _ => x, fun _ _ => zero_le_one, Finset.sum_singleton,
@@ -324,7 +324,7 @@ theorem convexHull_eq (s : Set E) : convexHull R s =
 #align convex_hull_eq convexHull_eq
 
 theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
-    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : (∑ y in s, w y) = 1),
+    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in s, w y = 1),
     s.centerMass w id = x } := by
   refine' Set.Subset.antisymm (convexHull_min _ _) _
   · intro x hx
@@ -346,12 +346,12 @@ theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
 #align finset.convex_hull_eq Finset.convexHull_eq
 
 theorem Finset.mem_convexHull {s : Finset E} {x : E} : x ∈ convexHull R (s : Set E) ↔
-    ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : (∑ y in s, w y) = 1), s.centerMass w id = x := by
+    ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in s, w y = 1), s.centerMass w id = x := by
   rw [Finset.convexHull_eq, Set.mem_setOf_eq]
 #align finset.mem_convex_hull Finset.mem_convexHull
 
 theorem Set.Finite.convexHull_eq {s : Set E} (hs : s.Finite) : convexHull R s =
-    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : (∑ y in hs.toFinset, w y) = 1),
+    { x : E | ∃ (w : E → R) (_ : ∀ y ∈ s, 0 ≤ w y) (_ : ∑ y in hs.toFinset, w y = 1),
     hs.toFinset.centerMass w id = x } := by
   simpa only [Set.Finite.coe_toFinset, Set.Finite.mem_toFinset, exists_prop] using
     hs.toFinset.convexHull_eq
@@ -380,11 +380,11 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
   -- Porting note: We have to specify the universe of `ι` and `κ`
   obtain ⟨ι : Type u_1, a, w, S, hw, hw', hS, hSp⟩ := hx
   obtain ⟨κ : Type u_1, b, v, T, hv, hv', hT, hTp⟩ := hy
-  have h_sum : (∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd) = 1 := by
+  have h_sum : ∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd = 1 := by
     rw [Finset.sum_product, ← hw']
     congr
     ext i
-    have : (∑ y : κ in b, w i * v y) = ∑ y : κ in b, v y * w i := by
+    have : ∑ y : κ in b, w i * v y = ∑ y : κ in b, v y * w i := by
       congr
       ext
       simp [mul_comm]

Too often tempted to change these during other PRs, so doing a mass edit here.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

@@ -111,7 +111,7 @@ theorem Finset.centerMass_ite_eq (hi : i ∈ t) :
   trans ∑ j in t, if i = j then z i else 0
   · congr with i
     split_ifs with h
-    exacts[h ▸ one_smul _ _, zero_smul _ _]
+    exacts [h ▸ one_smul _ _, zero_smul _ _]
   · rw [sum_ite_eq, if_pos hi]
   · rw [sum_ite_eq, if_pos hi]
 #align finset.center_mass_ite_eq Finset.centerMass_ite_eq
@@ -332,7 +332,7 @@ theorem Finset.convexHull_eq (s : Finset E) : convexHull R ↑s =
     refine' ⟨_, _, _, Finset.centerMass_ite_eq _ _ _ hx⟩
     · intros
       split_ifs
-      exacts[zero_le_one, le_refl 0]
+      exacts [zero_le_one, le_refl 0]
     · rw [Finset.sum_ite_eq, if_pos hx]
   · rintro x ⟨wx, hwx₀, hwx₁, rfl⟩ y ⟨wy, hwy₀, hwy₁, rfl⟩ a b ha hb hab
     rw [Finset.centerMass_segment _ _ _ _ hwx₁ hwy₁ _ _ hab]

Currently, the following notations are changed from · ×ˢ · because Lean 4 can't deal with ambiguous notations. | Definition | Notation | | :

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

@@ -380,8 +380,7 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
   -- Porting note: We have to specify the universe of `ι` and `κ`
   obtain ⟨ι : Type u_1, a, w, S, hw, hw', hS, hSp⟩ := hx
   obtain ⟨κ : Type u_1, b, v, T, hv, hv', hT, hTp⟩ := hy
-  -- Porting note: Changed `×ˢ` to `×ᶠ`
-  have h_sum : (∑ i : ι × κ in a ×ᶠ b, w i.fst * v i.snd) = 1 := by
+  have h_sum : (∑ i : ι × κ in a ×ˢ b, w i.fst * v i.snd) = 1 := by
     rw [Finset.sum_product, ← hw']
     congr
     ext i
@@ -391,9 +390,8 @@ theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHul
       simp [mul_comm]
     rw [this, ← Finset.sum_mul, hv']
     simp
-  -- Porting note: Changed `×ˢ` to `×ᶠ`
   refine'
-    ⟨ι × κ, a ×ᶠ b, fun p => w p.1 * v p.2, fun p => (S p.1, T p.2), fun p hp => _, h_sum,
+    ⟨ι × κ, a ×ˢ b, fun p => w p.1 * v p.2, fun p => (S p.1, T p.2), fun p hp => _, h_sum,
       fun p hp => _, _⟩
   · rw [mem_product] at hp
     exact mul_nonneg (hw p.1 hp.1) (hv p.2 hp.2)

As discussed on Zulip

Renames

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

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

@@ -364,14 +364,14 @@ theorem convexHull_eq_union_convexHull_finite_subsets (s : Set E) :
   · rw [_root_.convexHull_eq]
     -- Porting note: We have to specify the universe of `ι`
     rintro x ⟨ι : Type u_1, t, w, z, hw₀, hw₁, hz, rfl⟩
-    simp only [mem_unionᵢ]
+    simp only [mem_iUnion]
     refine' ⟨t.image z, _, _⟩
     · rw [coe_image, Set.image_subset_iff]
       exact hz
     · apply t.centerMass_mem_convexHull hw₀
       · simp only [hw₁, zero_lt_one]
       · exact fun i hi => Finset.mem_coe.2 (Finset.mem_image_of_mem _ hi)
-  · exact unionᵢ_subset fun i => unionᵢ_subset convexHull_mono
+  · exact iUnion_subset fun i => iUnion_subset convexHull_mono
 #align convex_hull_eq_union_convex_hull_finite_subsets convexHull_eq_union_convexHull_finite_subsets
 
 theorem mk_mem_convexHull_prod {t : Set F} {x : E} {y : F} (hx : x ∈ convexHull R s)

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

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

@@ -85,10 +85,8 @@ theorem Finset.centerMass_smul : (t.centerMass w fun i => c • z i) = c • t.c
 deals with two different index types. -/
 theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι → R) (zs : ι → E)
     (wt : ι' → R) (zt : ι' → E) (hws : (∑ i in s, ws i) = 1) (hwt : (∑ i in t, wt i) = 1) (a b : R)
-    (hab : a + b = 1) :
-    a • s.centerMass ws zs + b • t.centerMass wt zt =
-      (s.disjSum t).centerMass (Sum.elim (fun i => a * ws i) fun j => b * wt j) (Sum.elim zs zt) :=
-  by
+    (hab : a + b = 1) : a • s.centerMass ws zs + b • t.centerMass wt zt = (s.disjSum t).centerMass
+    (Sum.elim (fun i => a * ws i) fun j => b * wt j) (Sum.elim zs zt) := by
   rw [s.centerMass_eq_of_sum_1 _ hws, t.centerMass_eq_of_sum_1 _ hwt, smul_sum, smul_sum, ←
     Finset.sum_sum_elim, Finset.centerMass_eq_of_sum_1]
   · congr with ⟨⟩ <;> simp only [Sum.elim_inl, Sum.elim_inr, mul_smul]
@@ -99,8 +97,8 @@ theorem Finset.centerMass_segment' (s : Finset ι) (t : Finset ι') (ws : ι →
 works if two centers of mass share the set of original points. -/
 theorem Finset.centerMass_segment (s : Finset ι) (w₁ w₂ : ι → R) (z : ι → E)
     (hw₁ : (∑ i in s, w₁ i) = 1) (hw₂ : (∑ i in s, w₂ i) = 1) (a b : R) (hab : a + b = 1) :
-    a • s.centerMass w₁ z + b • s.centerMass w₂ z = s.centerMass (fun i => a * w₁ i + b * w₂ i) z :=
-  by
+    a • s.centerMass w₁ z + b • s.centerMass w₂ z =
+    s.centerMass (fun i => a * w₁ i + b * w₂ i) z := by
   have hw : (∑ i in s, (a * w₁ i + b * w₂ i)) = 1 := by
     simp only [mul_sum.symm, sum_add_distrib, mul_one, *]
   simp only [Finset.centerMass_eq_of_sum_1, Finset.centerMass_eq_of_sum_1 _ _ hw,

Co-authored-by: Moritz Doll <moritz.doll@googlemail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>