linear_algebra.multilinear.basic ⟷ Mathlib.LinearAlgebra.Multilinear.Basic

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

@@ -5,7 +5,7 @@ Authors: Sébastien Gouëzel
 -/
 import Algebra.Module.Submodule.Ker
 import Algebra.Algebra.Basic
-import Algebra.BigOperators.Order
+import Algebra.Order.BigOperators.Group.Finset
 import Algebra.BigOperators.Ring
 import Data.List.FinRange
 import Data.Fintype.BigOperators

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

@@ -3,7 +3,7 @@ Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import LinearAlgebra.Basic
+import Algebra.Module.Submodule.Ker
 import Algebra.Algebra.Basic
 import Algebra.BigOperators.Order
 import Algebra.BigOperators.Ring

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

@@ -568,9 +568,9 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
       by
       apply Finset.eq_empty_of_forall_not_mem fun r hr => _
       have : r i ∈ A i := mem_pi_finset.mp hr i
-      rwa [hi] at this 
+      rwa [hi] at this
     rw [this, Finset.sum_empty]
-  push_neg at Ai_empty 
+  push_neg at Ai_empty
   -- Otherwise, if all sets are at most singletons, then they are exactly singletons and the result
   -- is again straightforward
   by_cases Ai_singleton : ∀ i, (A i).card ≤ 1
@@ -597,7 +597,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
   -- We will split into two parts `B i₀` and `C i₀` of smaller cardinality, let `B i = C i = A i`
   -- for `i ≠ i₀`, apply the inductive assumption to `B` and `C`, and add up the corresponding
   -- parts to get the sum for `A`.
-  push_neg at Ai_singleton 
+  push_neg at Ai_singleton
   obtain ⟨i₀, hi₀⟩ : ∃ i, 1 < (A i).card := Ai_singleton
   obtain ⟨j₁, j₂, hj₁, hj₂, j₁_ne_j₂⟩ : ∃ j₁ j₂, j₁ ∈ A i₀ ∧ j₂ ∈ A i₀ ∧ j₁ ≠ j₂ :=
     Finset.one_lt_card_iff.1 hi₀
@@ -630,7 +630,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
       rw [this]
       apply Finset.sum_union
       apply Finset.disjoint_right.2 fun j hj => _
-      have : j = j₂ := by dsimp [C] at hj ; simpa using hj
+      have : j = j₂ := by dsimp [C] at hj; simpa using hj
       rw [this]
       dsimp [B]
       simp only [mem_sdiff, eq_self_iff_true, not_true, not_false_iff, Finset.mem_singleton,
@@ -663,7 +663,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
       have : {j₂} ⊆ A i₀ := by simp [hj₂]
       simp only [B, Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
       exact Nat.pred_lt (ne_of_gt (lt_trans Nat.zero_lt_one hi₀))
-    rw [h] at this 
+    rw [h] at this
     exact IH _ this B rfl
   -- Express the inductive assumption for `C`
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in pi_finset C, f fun i => g i (r i) :=
@@ -671,7 +671,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
     have : ∑ i, Finset.card (C i) < ∑ i, Finset.card (A i) :=
       Finset.sum_lt_sum (fun i hi => Finset.card_le_card (C_subset_A i))
         ⟨i₀, Finset.mem_univ _, by simp [C, hi₀]⟩
-    rw [h] at this 
+    rw [h] at this
     exact IH _ this C rfl
   have D : Disjoint (pi_finset B) (pi_finset C) :=
     haveI : Disjoint (B i₀) (C i₀) := by simp [B, C]

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

@@ -189,7 +189,10 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 -/
 
 #print MultilinearMap.map_coord_zero /-
-theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by classical
+theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
+  classical
+  have : (0 : R) • (0 : M₁ i) = 0 := by simp
+  rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 -/
 
@@ -265,7 +268,11 @@ instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 #print MultilinearMap.sum_apply /-
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
-    ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by classical
+    ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
+  classical
+  apply Finset.induction
+  · rw [Finset.sum_empty]; simp
+  · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 -/
 
@@ -721,6 +728,9 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
+  induction' t using Finset.induction with a t has ih h
+  · simp
+  · simp [Finset.sum_insert has, ih]
 #align multilinear_map.map_update_sum MultilinearMap.map_update_sum
 -/
 
@@ -932,7 +942,8 @@ theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (
 /-- Multiplicativity of a multilinear map along all coordinates at the same time,
 writing `f (λi, c i • m i)` as `(∏ i, c i) • f m`. -/
 theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
-    (f fun i => c i • m i) = (∏ i, c i) • f m := by classical
+    (f fun i => c i • m i) = (∏ i, c i) • f m := by
+  classical simpa using map_piecewise_smul f c m Finset.univ
 #align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
 -/
 

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

@@ -189,10 +189,7 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 -/
 
 #print MultilinearMap.map_coord_zero /-
-theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
-  classical
-  have : (0 : R) • (0 : M₁ i) = 0 := by simp
-  rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
+theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by classical
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 -/
 
@@ -268,11 +265,7 @@ instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 #print MultilinearMap.sum_apply /-
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
-    ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
-  classical
-  apply Finset.induction
-  · rw [Finset.sum_empty]; simp
-  · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
+    ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by classical
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 -/
 
@@ -728,9 +721,6 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
-  induction' t using Finset.induction with a t has ih h
-  · simp
-  · simp [Finset.sum_insert has, ih]
 #align multilinear_map.map_update_sum MultilinearMap.map_update_sum
 -/
 
@@ -942,8 +932,7 @@ theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (
 /-- Multiplicativity of a multilinear map along all coordinates at the same time,
 writing `f (λi, c i • m i)` as `(∏ i, c i) • f m`. -/
 theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
-    (f fun i => c i • m i) = (∏ i, c i) • f m := by
-  classical simpa using map_piecewise_smul f c m Finset.univ
+    (f fun i => c i • m i) = (∏ i, c i) • f m := by classical
 #align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
 -/
 

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

@@ -658,7 +658,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
     have : ∑ i, Finset.card (B i) < ∑ i, Finset.card (A i) :=
       by
       refine'
-        Finset.sum_lt_sum (fun i hi => Finset.card_le_of_subset (B_subset_A i))
+        Finset.sum_lt_sum (fun i hi => Finset.card_le_card (B_subset_A i))
           ⟨i₀, Finset.mem_univ _, _⟩
       have : {j₂} ⊆ A i₀ := by simp [hj₂]
       simp only [B, Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
@@ -669,7 +669,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in pi_finset C, f fun i => g i (r i) :=
     by
     have : ∑ i, Finset.card (C i) < ∑ i, Finset.card (A i) :=
-      Finset.sum_lt_sum (fun i hi => Finset.card_le_of_subset (C_subset_A i))
+      Finset.sum_lt_sum (fun i hi => Finset.card_le_card (C_subset_A i))
         ⟨i₀, Finset.mem_univ _, by simp [C, hi₀]⟩
     rw [h] at this 
     exact IH _ this C rfl

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

@@ -316,7 +316,6 @@ section
 
 variable (R M₂)
 
-#print MultilinearMap.ofSubsingleton /-
 /-- The evaluation map from `ι → M₂` to `M₂` is multilinear at a given `i` when `ι` is subsingleton.
 -/
 @[simps]
@@ -327,8 +326,7 @@ def ofSubsingleton [Subsingleton ι] (i' : ι) : MultilinearMap R (fun _ : ι =>
     simp only [Function.eval, Function.update_same]
   map_smul' _ m i r x := by rw [Subsingleton.elim i i'];
     simp only [Function.eval, Function.update_same]
-#align multilinear_map.of_subsingleton MultilinearMap.ofSubsingleton
--/
+#align multilinear_map.of_subsingleton MultilinearMap.ofSubsingletonₓ
 
 variable (M₁) {M₂}
 

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

@@ -628,7 +628,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
         by
         simp only [B, C, Function.update_same, Finset.sdiff_union_self_eq_union]
         symm
-        simp only [hj₂, Finset.singleton_subset_iff, Finset.union_eq_left_iff_subset]
+        simp only [hj₂, Finset.singleton_subset_iff, Finset.union_eq_left]
       rw [this]
       apply Finset.sum_union
       apply Finset.disjoint_right.2 fun j hj => _

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

@@ -3,13 +3,13 @@ Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.LinearAlgebra.Basic
-import Mathbin.Algebra.Algebra.Basic
-import Mathbin.Algebra.BigOperators.Order
-import Mathbin.Algebra.BigOperators.Ring
-import Mathbin.Data.List.FinRange
-import Mathbin.Data.Fintype.BigOperators
-import Mathbin.Data.Fintype.Sort
+import LinearAlgebra.Basic
+import Algebra.Algebra.Basic
+import Algebra.BigOperators.Order
+import Algebra.BigOperators.Ring
+import Data.List.FinRange
+import Data.Fintype.BigOperators
+import Data.Fintype.Sort
 
 #align_import linear_algebra.multilinear.basic from "leanprover-community/mathlib"@"78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea"
 

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

@@ -970,7 +970,7 @@ variable {R' A : Type _} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [Di
 instance : DistribMulAction R' (MultilinearMap A M₁ M₂)
     where
   one_smul f := ext fun x => one_smul _ _
-  mul_smul c₁ c₂ f := ext fun x => mul_smul _ _ _
+  hMul_smul c₁ c₂ f := ext fun x => hMul_smul _ _ _
   smul_zero r := ext fun x => smul_zero _
   smul_add r f₁ f₂ := ext fun x => smul_add _ _ _
 

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit 78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Basic
 import Mathbin.Algebra.Algebra.Basic
@@ -16,6 +11,8 @@ import Mathbin.Data.List.FinRange
 import Mathbin.Data.Fintype.BigOperators
 import Mathbin.Data.Fintype.Sort
 
+#align_import linear_algebra.multilinear.basic from "leanprover-community/mathlib"@"78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea"
+
 /-!
 # Multilinear maps
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/5dc6092d09e5e489106865241986f7f2ad28d4c8

@@ -1498,7 +1498,7 @@ theorem MultilinearMap.uncurryRight_apply
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
 def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
-    MultilinearMap R (fun i : Fin n => M (Fin.castSucc i)) (M (last n) →ₗ[R] M₂)
+    MultilinearMap R (fun i : Fin n => M (Fin.castSuccEmb i)) (M (last n) →ₗ[R] M₂)
     where
   toFun m :=
     { toFun := fun x => f (snoc m x)

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

@@ -1404,7 +1404,7 @@ theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
 theorem LinearMap.curry_uncurryLeft
     (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f :=
   by
-  ext (m x)
+  ext m x
   simp only [tail_cons, LinearMap.uncurryLeft_apply, MultilinearMap.curryLeft_apply]
   rw [cons_zero]
 #align linear_map.curry_uncurry_left LinearMap.curry_uncurryLeft
@@ -1530,7 +1530,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i
 theorem MultilinearMap.curry_uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) :
     f.uncurryRight.curryRight = f := by
-  ext (m x)
+  ext m x
   simp only [snoc_last, MultilinearMap.curryRight_apply, MultilinearMap.uncurryRight_apply]
   rw [init_snoc]
 #align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRight

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

@@ -123,10 +123,12 @@ theorem toFun_eq_coe : f.toFun = f :=
 #align multilinear_map.to_fun_eq_coe MultilinearMap.toFun_eq_coe
 -/
 
+#print MultilinearMap.coe_mk /-
 @[simp]
 theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   rfl
 #align multilinear_map.coe_mk MultilinearMap.coe_mk
+-/
 
 #print MultilinearMap.congr_fun /-
 theorem congr_fun {f g : MultilinearMap R M₁ M₂} (h : f = g) (x : ∀ i, M₁ i) : f x = g x :=
@@ -166,16 +168,20 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
 -/
 
+#print MultilinearMap.mk_coe /-
 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   by ext; rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
+-/
 
+#print MultilinearMap.map_add /-
 @[simp]
 protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x + y)) = f (update m i x) + f (update m i y) :=
   f.map_add' m i x y
 #align multilinear_map.map_add MultilinearMap.map_add
+-/
 
 #print MultilinearMap.map_smul /-
 @[simp]
@@ -185,33 +191,41 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 #align multilinear_map.map_smul MultilinearMap.map_smul
 -/
 
+#print MultilinearMap.map_coord_zero /-
 theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
   classical
   have : (0 : R) • (0 : M₁ i) = 0 := by simp
   rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
+-/
 
+#print MultilinearMap.map_update_zero /-
 @[simp]
 theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
   f.map_coord_zero i (update_same i 0 m)
 #align multilinear_map.map_update_zero MultilinearMap.map_update_zero
+-/
 
+#print MultilinearMap.map_zero /-
 @[simp]
 theorem map_zero [Nonempty ι] : f 0 = 0 :=
   by
   obtain ⟨i, _⟩ : ∃ i : ι, i ∈ Set.univ := Set.exists_mem_of_nonempty ι
   exact map_coord_zero f i rfl
 #align multilinear_map.map_zero MultilinearMap.map_zero
+-/
 
 instance : Add (MultilinearMap R M₁ M₂) :=
   ⟨fun f f' =>
     ⟨fun x => f x + f' x, fun m i x y => by simp [add_left_comm, add_assoc], fun _ m i c x => by
       simp [smul_add]⟩⟩
 
+#print MultilinearMap.add_apply /-
 @[simp]
 theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
   rfl
 #align multilinear_map.add_apply MultilinearMap.add_apply
+-/
 
 instance : Zero (MultilinearMap R M₁ M₂) :=
   ⟨⟨fun _ => 0, fun _ m i x y => by simp, fun _ m i c x => by simp⟩⟩
@@ -219,10 +233,12 @@ instance : Zero (MultilinearMap R M₁ M₂) :=
 instance : Inhabited (MultilinearMap R M₁ M₂) :=
   ⟨0⟩
 
+#print MultilinearMap.zero_apply /-
 @[simp]
 theorem zero_apply (m : ∀ i, M₁ i) : (0 : MultilinearMap R M₁ M₂) m = 0 :=
   rfl
 #align multilinear_map.zero_apply MultilinearMap.zero_apply
+-/
 
 section SMul
 
@@ -234,20 +250,25 @@ instance : SMul R' (MultilinearMap A M₁ M₂) :=
     ⟨fun m => c • f m, fun _ m i x y => by simp [smul_add], fun _ l i x d => by
       simp [← smul_comm x c]⟩⟩
 
+#print MultilinearMap.smul_apply /-
 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
   rfl
 #align multilinear_map.smul_apply MultilinearMap.smul_apply
+-/
 
+#print MultilinearMap.coe_smul /-
 theorem coe_smul (c : R') (f : MultilinearMap A M₁ M₂) : ⇑(c • f) = c • f :=
   rfl
 #align multilinear_map.coe_smul MultilinearMap.coe_smul
+-/
 
 end SMul
 
 instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
   coe_injective.AddCommMonoid _ rfl (fun _ _ => rfl) fun _ _ => rfl
 
+#print MultilinearMap.sum_apply /-
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
@@ -256,6 +277,7 @@ theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀
   · rw [Finset.sum_empty]; simp
   · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
+-/
 
 #print MultilinearMap.toLinearMap /-
 /-- If `f` is a multilinear map, then `f.to_linear_map m i` is the linear map obtained by fixing all
@@ -269,6 +291,7 @@ def toLinearMap [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R]
 #align multilinear_map.to_linear_map MultilinearMap.toLinearMap
 -/
 
+#print MultilinearMap.prod /-
 /-- The cartesian product of two multilinear maps, as a multilinear map. -/
 @[simps]
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
@@ -277,6 +300,7 @@ def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : Mul
   map_add' _ m i x y := by simp
   map_smul' _ m i c x := by simp
 #align multilinear_map.prod MultilinearMap.prod
+-/
 
 #print MultilinearMap.pi /-
 /-- Combine a family of multilinear maps with the same domain and codomains `M' i` into a
@@ -342,6 +366,7 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
 
 variable {R}
 
+#print MultilinearMap.cons_add /-
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -349,7 +374,9 @@ theorem cons_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (x
     f (cons (x + y) m) = f (cons x m) + f (cons y m) := by
   rw [← update_cons_zero x m (x + y), f.map_add, update_cons_zero, update_cons_zero]
 #align multilinear_map.cons_add MultilinearMap.cons_add
+-/
 
+#print MultilinearMap.cons_smul /-
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -357,7 +384,9 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
     f (cons (c • x) m) = c • f (cons x m) := by
   rw [← update_cons_zero x m (c • x), f.map_smul, update_cons_zero]
 #align multilinear_map.cons_smul MultilinearMap.cons_smul
+-/
 
+#print MultilinearMap.snoc_add /-
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -365,7 +394,9 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
     f (snoc m (x + y)) = f (snoc m x) + f (snoc m y) := by
   rw [← update_snoc_last x m (x + y), f.map_add, update_snoc_last, update_snoc_last]
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
+-/
 
+#print MultilinearMap.snoc_smul /-
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -373,6 +404,7 @@ theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_suc
     (x : M (last n)) : f (snoc m (c • x)) = c • f (snoc m x) := by
   rw [← update_snoc_last x m (c • x), f.map_smul, update_snoc_last]
 #align multilinear_map.snoc_smul MultilinearMap.snoc_smul
+-/
 
 section
 
@@ -400,12 +432,15 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 #align multilinear_map.comp_linear_map MultilinearMap.compLinearMap
 -/
 
+#print MultilinearMap.compLinearMap_apply /-
 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
     (m : ∀ i, M₁ i) : g.compLinearMap f m = g fun i => f i (m i) :=
   rfl
 #align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_apply
+-/
 
+#print MultilinearMap.compLinearMap_assoc /-
 /-- Composing a multilinear map twice with a linear map in each argument is
 the same as composing with their composition. -/
 theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M₁' i →ₗ[R] M₁'' i)
@@ -413,33 +448,43 @@ theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M
     (g.compLinearMap f₁).compLinearMap f₂ = g.compLinearMap fun i => f₁ i ∘ₗ f₂ i :=
   rfl
 #align multilinear_map.comp_linear_map_assoc MultilinearMap.compLinearMap_assoc
+-/
 
+#print MultilinearMap.zero_compLinearMap /-
 /-- Composing the zero multilinear map with a linear map in each argument. -/
 @[simp]
 theorem zero_compLinearMap (f : ∀ i, M₁ i →ₗ[R] M₁' i) :
     (0 : MultilinearMap R M₁' M₂).compLinearMap f = 0 :=
   ext fun _ => rfl
 #align multilinear_map.zero_comp_linear_map MultilinearMap.zero_compLinearMap
+-/
 
+#print MultilinearMap.compLinearMap_id /-
 /-- Composing a multilinear map with the identity linear map in each argument. -/
 @[simp]
 theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
     (g.compLinearMap fun i => LinearMap.id) = g :=
   ext fun _ => rfl
 #align multilinear_map.comp_linear_map_id MultilinearMap.compLinearMap_id
+-/
 
+#print MultilinearMap.compLinearMap_injective /-
 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
     Injective fun g : MultilinearMap R M₁' M₂ => g.compLinearMap f := fun g₁ g₂ h =>
   ext fun x => by
     simpa [fun i => surj_inv_eq (hf i)] using ext_iff.mp h fun i => surj_inv (hf i) (x i)
 #align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injective
+-/
 
+#print MultilinearMap.compLinearMap_inj /-
 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
   (compLinearMap_injective _ hf).eq_iff
 #align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_inj
+-/
 
+#print MultilinearMap.comp_linearEquiv_eq_zero_iff /-
 /-- Composing a multilinear map with a linear equiv on each argument gives the zero map
 if and only if the multilinear map is the zero map. -/
 @[simp]
@@ -449,9 +494,11 @@ theorem comp_linearEquiv_eq_zero_iff (g : MultilinearMap R M₁' M₂) (f : ∀
   set f' := fun i => (f i : M₁ i →ₗ[R] M₁' i)
   rw [← zero_comp_linear_map f', comp_linear_map_inj f' fun i => (f i).Surjective]
 #align multilinear_map.comp_linear_equiv_eq_zero_iff MultilinearMap.comp_linearEquiv_eq_zero_iff
+-/
 
 end
 
+#print MultilinearMap.map_piecewise_add /-
 /-- If one adds to a vector `m'` another vector `m`, but only for coordinates in a finset `t`, then
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
 `t`. This is mainly an auxiliary statement to prove the result when `t = univ`, given in
@@ -489,13 +536,16 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
     · by_cases h' : j ∈ s <;> simp [h, m'', h']
   rw [this]
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
+-/
 
+#print MultilinearMap.map_add_univ /-
 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
 theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
     f (m + m') = ∑ s : Finset ι, f (s.piecewise m m') := by
   simpa using f.map_piecewise_add m m' Finset.univ
 #align multilinear_map.map_add_univ MultilinearMap.map_add_univ
+-/
 
 section ApplySum
 
@@ -503,6 +553,7 @@ variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (
 
 open Fintype Finset
 
+#print MultilinearMap.map_sum_finset_aux /-
 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -655,7 +706,9 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (
   simp only [MultilinearMap.map_add, Beq, Ceq, Brec, Crec, pi_BC]
   rw [← Finset.sum_union D]
 #align multilinear_map.map_sum_finset_aux MultilinearMap.map_sum_finset_aux
+-/
 
+#print MultilinearMap.map_sum_finset /-
 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -664,7 +717,9 @@ theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
     (f fun i => ∑ j in A i, g i j) = ∑ r in piFinset A, f fun i => g i (r i) :=
   f.map_sum_finset_aux _ _ rfl
 #align multilinear_map.map_sum_finset MultilinearMap.map_sum_finset
+-/
 
+#print MultilinearMap.map_sum /-
 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
 multilinearity by expanding successively with respect to each coordinate. -/
@@ -672,7 +727,9 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
     (f fun i => ∑ j, g i j) = ∑ r : ∀ i, α i, f fun i => g i (r i) :=
   f.map_sum_finset g fun i => Finset.univ
 #align multilinear_map.map_sum MultilinearMap.map_sum
+-/
 
+#print MultilinearMap.map_update_sum /-
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
@@ -680,6 +737,7 @@ theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (
   · simp
   · simp [Finset.sum_insert has, ih]
 #align multilinear_map.map_update_sum MultilinearMap.map_update_sum
+-/
 
 end ApplySum
 
@@ -712,10 +770,12 @@ def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M
 #align multilinear_map.restrict_scalars MultilinearMap.restrictScalars
 -/
 
+#print MultilinearMap.coe_restrictScalars /-
 @[simp]
 theorem coe_restrictScalars (f : MultilinearMap A M₁ M₂) : ⇑(f.restrictScalars R) = f :=
   rfl
 #align multilinear_map.coe_restrict_scalars MultilinearMap.coe_restrictScalars
+-/
 
 end RestrictScalar
 
@@ -742,18 +802,23 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun i : ι₁ => M
 #align multilinear_map.dom_dom_congr MultilinearMap.domDomCongr
 -/
 
+#print MultilinearMap.domDomCongr_trans /-
 theorem domDomCongr_trans (σ₁ : ι₁ ≃ ι₂) (σ₂ : ι₂ ≃ ι₃)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₁.trans σ₂) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_trans MultilinearMap.domDomCongr_trans
+-/
 
+#print MultilinearMap.domDomCongr_mul /-
 theorem domDomCongr_mul (σ₁ : Equiv.Perm ι₁) (σ₂ : Equiv.Perm ι₁)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₂ * σ₁) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_mul MultilinearMap.domDomCongr_mul
+-/
 
+#print MultilinearMap.domDomCongrEquiv /-
 /-- `multilinear_map.dom_dom_congr` as an equivalence.
 
 This is declared separately because it does not work with dot notation. -/
@@ -767,7 +832,9 @@ def domDomCongrEquiv (σ : ι₁ ≃ ι₂) :
   right_inv m := by ext; simp
   map_add' a b := by ext; simp
 #align multilinear_map.dom_dom_congr_equiv MultilinearMap.domDomCongrEquiv
+-/
 
+#print MultilinearMap.domDomCongr_eq_iff /-
 /-- The results of applying `dom_dom_congr` to two maps are equal if
 and only if those maps are. -/
 @[simp]
@@ -775,6 +842,7 @@ theorem domDomCongr_eq_iff (σ : ι₁ ≃ ι₂) (f g : MultilinearMap R (fun i
     f.domDomCongr σ = g.domDomCongr σ ↔ f = g :=
   (domDomCongrEquiv σ : _ ≃+ MultilinearMap R (fun i => M₂) M₃).apply_eq_iff_eq
 #align multilinear_map.dom_dom_congr_eq_iff MultilinearMap.domDomCongr_eq_iff
+-/
 
 end
 
@@ -797,17 +865,21 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 #align linear_map.comp_multilinear_map LinearMap.compMultilinearMap
 -/
 
+#print LinearMap.coe_compMultilinearMap /-
 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
     ⇑(g.compMultilinearMap f) = g ∘ f :=
   rfl
 #align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMap
+-/
 
+#print LinearMap.compMultilinearMap_apply /-
 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     g.compMultilinearMap f m = g (f m) :=
   rfl
 #align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_apply
+-/
 
 #print LinearMap.subtype_compMultilinearMap_codRestrict /-
 /-- The multilinear version of `linear_map.subtype_comp_cod_restrict` -/
@@ -818,6 +890,7 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 #align linear_map.subtype_comp_multilinear_map_cod_restrict LinearMap.subtype_compMultilinearMap_codRestrict
 -/
 
+#print LinearMap.compMultilinearMap_codRestrict /-
 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
 theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂)
@@ -826,14 +899,17 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
       (g.compMultilinearMap f).codRestrict p fun v => h (f v) :=
   MultilinearMap.ext fun v => rfl
 #align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrict
+-/
 
 variable {ι₁ ι₂ : Type _}
 
+#print LinearMap.compMultilinearMap_domDomCongr /-
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
     (f : MultilinearMap R (fun i : ι₁ => M') M₂) :
     (g.compMultilinearMap f).domDomCongr σ = g.compMultilinearMap (f.domDomCongr σ) := by ext; simp
 #align linear_map.comp_multilinear_map_dom_dom_congr LinearMap.compMultilinearMap_domDomCongr
+-/
 
 end LinearMap
 
@@ -1012,10 +1088,12 @@ protected def mkPiAlgebra : MultilinearMap R (fun i : ι => A) A
 
 variable {R A ι}
 
+#print MultilinearMap.mkPiAlgebra_apply /-
 @[simp]
 theorem mkPiAlgebra_apply (m : ι → A) : MultilinearMap.mkPiAlgebra R ι A m = ∏ i, m i :=
   rfl
 #align multilinear_map.mk_pi_algebra_apply MultilinearMap.mkPiAlgebra_apply
+-/
 
 end
 
@@ -1050,15 +1128,19 @@ protected def mkPiAlgebraFin : MultilinearMap R (fun i : Fin n => A) A
 
 variable {R A n}
 
+#print MultilinearMap.mkPiAlgebraFin_apply /-
 @[simp]
 theorem mkPiAlgebraFin_apply (m : Fin n → A) :
     MultilinearMap.mkPiAlgebraFin R n A m = (List.ofFn m).Prod :=
   rfl
 #align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_apply
+-/
 
+#print MultilinearMap.mkPiAlgebraFin_apply_const /-
 theorem mkPiAlgebraFin_apply_const (a : A) :
     (MultilinearMap.mkPiAlgebraFin R n A fun _ => a) = a ^ n := by simp
 #align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_const
+-/
 
 end
 
@@ -1121,13 +1203,17 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
 #align multilinear_map.mk_pi_ring_eq_iff MultilinearMap.mkPiRing_eq_iff
 -/
 
+#print MultilinearMap.mkPiRing_zero /-
 theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0 := by
   ext <;> rw [mk_pi_ring_apply, smul_zero, MultilinearMap.zero_apply]
 #align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zero
+-/
 
+#print MultilinearMap.mkPiRing_eq_zero_iff /-
 theorem mkPiRing_eq_zero_iff [Fintype ι] (z : M₂) : MultilinearMap.mkPiRing R ι z = 0 ↔ z = 0 := by
   rw [← mk_pi_ring_zero, mk_pi_ring_eq_iff]
 #align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iff
+-/
 
 end CommSemiring
 
@@ -1139,10 +1225,12 @@ variable [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommGroup M₂] [∀ i
 instance : Neg (MultilinearMap R M₁ M₂) :=
   ⟨fun f => ⟨fun m => -f m, fun _ m i x y => by simp [add_comm], fun _ m i c x => by simp⟩⟩
 
+#print MultilinearMap.neg_apply /-
 @[simp]
 theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
   rfl
 #align multilinear_map.neg_apply MultilinearMap.neg_apply
+-/
 
 instance : Sub (MultilinearMap R M₁ M₂) :=
   ⟨fun f g =>
@@ -1150,10 +1238,12 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
       simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]; cc, fun _ m i c x => by
       simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
+#print MultilinearMap.sub_apply /-
 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
   rfl
 #align multilinear_map.sub_apply MultilinearMap.sub_apply
+-/
 
 instance : AddCommGroup (MultilinearMap R M₁ M₂) :=
   {
@@ -1179,18 +1269,22 @@ section AddCommGroup
 variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i, Module R (M₁ i)]
   [Module R M₂] (f : MultilinearMap R M₁ M₂)
 
+#print MultilinearMap.map_neg /-
 @[simp]
 theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
     f (update m i (-x)) = -f (update m i x) :=
   eq_neg_of_add_eq_zero_left <| by
     rw [← MultilinearMap.map_add, add_left_neg, f.map_coord_zero i (update_same i 0 m)]
 #align multilinear_map.map_neg MultilinearMap.map_neg
+-/
 
+#print MultilinearMap.map_sub /-
 @[simp]
 theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x - y)) = f (update m i x) - f (update m i y) := by
   rw [sub_eq_add_neg, sub_eq_add_neg, MultilinearMap.map_add, map_neg]
 #align multilinear_map.map_sub MultilinearMap.map_sub
+-/
 
 end AddCommGroup
 
@@ -1243,6 +1337,7 @@ variable {R M M₂} [CommSemiring R] [∀ i, AddCommMonoid (M i)] [AddCommMonoid
 /-! #### Left currying -/
 
 
+#print LinearMap.uncurryLeft /-
 /-- Given a linear map `f` from `M 0` to multilinear maps on `n` variables,
 construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (m 0) (tail m)`-/
@@ -1271,13 +1366,17 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       intro x
       rw [tail_update_succ, tail_update_succ, MultilinearMap.map_smul]
 #align linear_map.uncurry_left LinearMap.uncurryLeft
+-/
 
+#print LinearMap.uncurryLeft_apply /-
 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
     (m : ∀ i, M i) : f.uncurryLeft m = f (m 0) (tail m) :=
   rfl
 #align linear_map.uncurry_left_apply LinearMap.uncurryLeft_apply
+-/
 
+#print MultilinearMap.curryLeft /-
 /-- Given a multilinear map `f` in `n+1` variables, split the first variable to obtain
 a linear map into multilinear maps in `n` variables, given by `x ↦ (m ↦ f (cons x m))`. -/
 def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
@@ -1290,13 +1389,17 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
   map_add' x y := by ext m; exact cons_add f m x y
   map_smul' c x := by ext m; exact cons_smul f m c x
 #align multilinear_map.curry_left MultilinearMap.curryLeft
+-/
 
+#print MultilinearMap.curryLeft_apply /-
 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
     (m : ∀ i : Fin n, M i.succ) : f.curryLeft x m = f (cons x m) :=
   rfl
 #align multilinear_map.curry_left_apply MultilinearMap.curryLeft_apply
+-/
 
+#print LinearMap.curry_uncurryLeft /-
 @[simp]
 theorem LinearMap.curry_uncurryLeft
     (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f :=
@@ -1305,6 +1408,7 @@ theorem LinearMap.curry_uncurryLeft
   simp only [tail_cons, LinearMap.uncurryLeft_apply, MultilinearMap.curryLeft_apply]
   rw [cons_zero]
 #align linear_map.curry_uncurry_left LinearMap.curry_uncurryLeft
+-/
 
 #print MultilinearMap.uncurry_curryLeft /-
 @[simp]
@@ -1315,6 +1419,7 @@ theorem MultilinearMap.uncurry_curryLeft (f : MultilinearMap R M M₂) :
 
 variable (R M M₂)
 
+#print multilinearCurryLeftEquiv /-
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from `M 0` to the space of multilinear maps on
 `Π(i : fin n), M i.succ `, by separating the first variable. We register this isomorphism as a
@@ -1332,12 +1437,14 @@ def multilinearCurryLeftEquiv :
   left_inv := LinearMap.curry_uncurryLeft
   right_inv := MultilinearMap.uncurry_curryLeft
 #align multilinear_curry_left_equiv multilinearCurryLeftEquiv
+-/
 
 variable {R M M₂}
 
 /-! #### Right currying -/
 
 
+#print MultilinearMap.uncurryRight /-
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (init m) (m (last n))`-/
@@ -1375,14 +1482,18 @@ def MultilinearMap.uncurryRight
       intro x
       rw [update_same, update_same, init_update_last, init_update_last, map_smul]
 #align multilinear_map.uncurry_right MultilinearMap.uncurryRight
+-/
 
+#print MultilinearMap.uncurryRight_apply /-
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) (m : ∀ i, M i) :
     f.uncurryRight m = f (init m) (m (last n)) :=
   rfl
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
+-/
 
+#print MultilinearMap.curryRight /-
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
@@ -1404,13 +1515,17 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
     change f (snoc (update m i (c • x)) z) = c • f (snoc (update m i x) z)
     rw [snoc_update, snoc_update, f.map_smul]
 #align multilinear_map.curry_right MultilinearMap.curryRight
+-/
 
+#print MultilinearMap.curryRight_apply /-
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
     (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
   rfl
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
+-/
 
+#print MultilinearMap.curry_uncurryRight /-
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) :
@@ -1419,6 +1534,7 @@ theorem MultilinearMap.curry_uncurryRight
   simp only [snoc_last, MultilinearMap.curryRight_apply, MultilinearMap.uncurryRight_apply]
   rw [init_snoc]
 #align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRight
+-/
 
 #print MultilinearMap.uncurry_curryRight /-
 @[simp]
@@ -1429,6 +1545,7 @@ theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
 
 variable (R M M₂)
 
+#print multilinearCurryRightEquiv /-
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the
 space of linear maps on `M (last n)`, by separating the last variable. We register this isomorphism
@@ -1447,6 +1564,7 @@ def multilinearCurryRightEquiv :
   left_inv := MultilinearMap.curry_uncurryRight
   right_inv := MultilinearMap.uncurry_curryRight
 #align multilinear_curry_right_equiv multilinearCurryRightEquiv
+-/
 
 namespace MultilinearMap
 
@@ -1477,11 +1595,13 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
 #align multilinear_map.curry_sum MultilinearMap.currySum
 -/
 
+#print MultilinearMap.currySum_apply /-
 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
     (v : ι' → M') : f.currySum u v = f (Sum.elim u v) :=
   rfl
 #align multilinear_map.curry_sum_apply MultilinearMap.currySum_apply
+-/
 
 #print MultilinearMap.uncurrySum /-
 /-- A multilinear map on `Π i : ι, M'` taking values in the space of multilinear maps
@@ -1507,12 +1627,14 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
 #align multilinear_map.uncurry_sum MultilinearMap.uncurrySum
 -/
 
+#print MultilinearMap.uncurrySum_aux_apply /-
 @[simp]
 theorem uncurrySum_aux_apply
     (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x : ι' => M') M₂))
     (u : Sum ι ι' → M') : f.uncurrySum u = f (u ∘ Sum.inl) (u ∘ Sum.inr) :=
   rfl
 #align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_apply
+-/
 
 variable (ι ι' R M₂ M')
 
@@ -1535,18 +1657,23 @@ def currySumEquiv :
 
 variable {ι ι' R M₂ M'}
 
+#print MultilinearMap.coe_currySumEquiv /-
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
   rfl
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
+-/
 
+#print MultilinearMap.coe_currySumEquiv_symm /-
 @[simp]
 theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
   rfl
 #align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symm
+-/
 
 variable (R M₂ M')
 
+#print MultilinearMap.curryFinFinset /-
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
 multilinear maps on `λ i : fin k, M'` taking values in the space of multilinear maps
@@ -1557,9 +1684,11 @@ def curryFinFinset {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : s
   (domDomCongrLinearEquiv M' M₂ R R (finSumEquivOfFinset hk hl).symm).trans
     (currySumEquiv R (Fin k) M₂ M' (Fin l))
 #align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinset
+-/
 
 variable {R M₂ M'}
 
+#print MultilinearMap.curryFinFinset_apply /-
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
     (f : MultilinearMap R (fun x : Fin n => M') M₂) (mk : Fin k → M') (ml : Fin l → M') :
@@ -1567,7 +1696,9 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
       f fun i => Sum.elim mk ml ((finSumEquivOfFinset hk hl).symm i) :=
   rfl
 #align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_apply
+-/
 
+#print MultilinearMap.curryFinFinset_symm_apply /-
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1578,7 +1709,9 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
         m <| finSumEquivOfFinset hk hl (Sum.inr i) :=
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_apply
+-/
 
+#print MultilinearMap.curryFinFinset_symm_apply_piecewise_const /-
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1593,7 +1726,9 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
   · ext i; rw [finSumEquivOfFinset_inr, Finset.piecewise_eq_of_not_mem]
     exact Finset.mem_compl.1 (Finset.orderEmbOfFin_mem _ _ _)
 #align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_const
+-/
 
+#print MultilinearMap.curryFinFinset_symm_apply_const /-
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1601,7 +1736,9 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
     (x : M') : ((curryFinFinset R M₂ M' hk hl).symm f fun _ => x) = f (fun _ => x) fun _ => x :=
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_const
+-/
 
+#print MultilinearMap.curryFinFinset_apply_const /-
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l) (f : MultilinearMap R (fun x : Fin n => M') M₂) (x y : M') :
@@ -1612,6 +1749,7 @@ theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.ca
   -- `rw` fails
   rw [LinearEquiv.symm_apply_apply]
 #align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_const
+-/
 
 end MultilinearMap
 

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

@@ -508,7 +508,7 @@ open Fintype Finset
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
 coordinate. Here, we give an auxiliary statement tailored for an inductive proof. Use instead
 `map_sum_finset`. -/
-theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i, (A i).card) = n) :
+theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : ∑ i, (A i).card = n) :
     (f fun i => ∑ j in A i, g i j) = ∑ r in piFinset A, f fun i => g i (r i) :=
   by
   letI := fun i => Classical.decEq (α i)
@@ -516,7 +516,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- If one of the sets is empty, then all the sums are zero
   by_cases Ai_empty : ∃ i, A i = ∅
   · rcases Ai_empty with ⟨i, hi⟩
-    have : (∑ j in A i, g i j) = 0 := by rw [hi, Finset.sum_empty]
+    have : ∑ j in A i, g i j = 0 := by rw [hi, Finset.sum_empty]
     rw [f.map_coord_zero i this]
     have : pi_finset A = ∅ :=
       by
@@ -570,8 +570,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- split the sum at `i₀` as the sum over `B i₀` plus the sum over `C i₀`, to use additivity.
   have A_eq_BC :
     (fun i => ∑ j in A i, g i j) =
-      Function.update (fun i => ∑ j in A i, g i j) i₀
-        ((∑ j in B i₀, g i₀ j) + ∑ j in C i₀, g i₀ j) :=
+      Function.update (fun i => ∑ j in A i, g i j) i₀ (∑ j in B i₀, g i₀ j + ∑ j in C i₀, g i₀ j) :=
     by
     ext i
     by_cases hi : i = i₀
@@ -610,7 +609,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- Express the inductive assumption for `B`
   have Brec : (f fun i => ∑ j in B i, g i j) = ∑ r in pi_finset B, f fun i => g i (r i) :=
     by
-    have : (∑ i, Finset.card (B i)) < ∑ i, Finset.card (A i) :=
+    have : ∑ i, Finset.card (B i) < ∑ i, Finset.card (A i) :=
       by
       refine'
         Finset.sum_lt_sum (fun i hi => Finset.card_le_of_subset (B_subset_A i))
@@ -623,7 +622,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- Express the inductive assumption for `C`
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in pi_finset C, f fun i => g i (r i) :=
     by
-    have : (∑ i, Finset.card (C i)) < ∑ i, Finset.card (A i) :=
+    have : ∑ i, Finset.card (C i) < ∑ i, Finset.card (A i) :=
       Finset.sum_lt_sum (fun i hi => Finset.card_le_of_subset (C_subset_A i))
         ⟨i₀, Finset.mem_univ _, by simp [C, hi₀]⟩
     rw [h] at this 

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

@@ -187,8 +187,8 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 
 theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
   classical
-    have : (0 : R) • (0 : M₁ i) = 0 := by simp
-    rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
+  have : (0 : R) • (0 : M₁ i) = 0 := by simp
+  rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 
 @[simp]
@@ -252,9 +252,9 @@ instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
   classical
-    apply Finset.induction
-    · rw [Finset.sum_empty]; simp
-    · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
+  apply Finset.induction
+  · rw [Finset.sum_empty]; simp
+  · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 
 #print MultilinearMap.toLinearMap /-
@@ -524,7 +524,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       have : r i ∈ A i := mem_pi_finset.mp hr i
       rwa [hi] at this 
     rw [this, Finset.sum_empty]
-  push_neg  at Ai_empty 
+  push_neg at Ai_empty 
   -- Otherwise, if all sets are at most singletons, then they are exactly singletons and the result
   -- is again straightforward
   by_cases Ai_singleton : ∀ i, (A i).card ≤ 1
@@ -551,7 +551,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- We will split into two parts `B i₀` and `C i₀` of smaller cardinality, let `B i = C i = A i`
   -- for `i ≠ i₀`, apply the inductive assumption to `B` and `C`, and add up the corresponding
   -- parts to get the sum for `A`.
-  push_neg  at Ai_singleton 
+  push_neg at Ai_singleton 
   obtain ⟨i₀, hi₀⟩ : ∃ i, 1 < (A i).card := Ai_singleton
   obtain ⟨j₁, j₂, hj₁, hj₂, j₁_ne_j₂⟩ : ∃ j₁ j₂, j₁ ∈ A i₀ ∧ j₂ ∈ A i₀ ∧ j₁ ≠ j₂ :=
     Finset.one_lt_card_iff.1 hi₀
@@ -677,9 +677,9 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
-    induction' t using Finset.induction with a t has ih h
-    · simp
-    · simp [Finset.sum_insert has, ih]
+  induction' t using Finset.induction with a t has ih h
+  · simp
+  · simp [Finset.sum_insert has, ih]
 #align multilinear_map.map_update_sum MultilinearMap.map_update_sum
 
 end ApplySum
@@ -1631,7 +1631,7 @@ variable {R M M₂} [Ring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M']
 Note that this is not a submodule - it is not closed under addition. -/
 def map [Nonempty ι] (f : MultilinearMap R M₁ M₂) (p : ∀ i, Submodule R (M₁ i)) : SubMulAction R M₂
     where
-  carrier := f '' { v | ∀ i, v i ∈ p i }
+  carrier := f '' {v | ∀ i, v i ∈ p i}
   smul_mem' := fun c _ ⟨x, hx, hf⟩ => by
     let ⟨i⟩ := ‹Nonempty ι›
     letI := Classical.decEq ι

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

@@ -92,7 +92,7 @@ variable {R : Type u} {ι : Type u'} {n : ℕ} {M : Fin n.succ → Type v} {M₁
 /-- Multilinear maps over the ring `R`, from `Πi, M₁ i` to `M₂` where `M₁ i` and `M₂` are modules
 over `R`. -/
 structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M₂ : Type w) [Semiring R]
-  [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)] [Module R M₂] where
+    [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)] [Module R M₂] where
   toFun : (∀ i, M₁ i) → M₂
   map_add' :
     ∀ [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i),
@@ -522,9 +522,9 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       by
       apply Finset.eq_empty_of_forall_not_mem fun r hr => _
       have : r i ∈ A i := mem_pi_finset.mp hr i
-      rwa [hi] at this
+      rwa [hi] at this 
     rw [this, Finset.sum_empty]
-  push_neg  at Ai_empty
+  push_neg  at Ai_empty 
   -- Otherwise, if all sets are at most singletons, then they are exactly singletons and the result
   -- is again straightforward
   by_cases Ai_singleton : ∀ i, (A i).card ≤ 1
@@ -551,7 +551,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- We will split into two parts `B i₀` and `C i₀` of smaller cardinality, let `B i = C i = A i`
   -- for `i ≠ i₀`, apply the inductive assumption to `B` and `C`, and add up the corresponding
   -- parts to get the sum for `A`.
-  push_neg  at Ai_singleton
+  push_neg  at Ai_singleton 
   obtain ⟨i₀, hi₀⟩ : ∃ i, 1 < (A i).card := Ai_singleton
   obtain ⟨j₁, j₂, hj₁, hj₂, j₁_ne_j₂⟩ : ∃ j₁ j₂, j₁ ∈ A i₀ ∧ j₂ ∈ A i₀ ∧ j₁ ≠ j₂ :=
     Finset.one_lt_card_iff.1 hi₀
@@ -585,7 +585,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       rw [this]
       apply Finset.sum_union
       apply Finset.disjoint_right.2 fun j hj => _
-      have : j = j₂ := by dsimp [C] at hj; simpa using hj
+      have : j = j₂ := by dsimp [C] at hj ; simpa using hj
       rw [this]
       dsimp [B]
       simp only [mem_sdiff, eq_self_iff_true, not_true, not_false_iff, Finset.mem_singleton,
@@ -618,7 +618,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       have : {j₂} ⊆ A i₀ := by simp [hj₂]
       simp only [B, Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
       exact Nat.pred_lt (ne_of_gt (lt_trans Nat.zero_lt_one hi₀))
-    rw [h] at this
+    rw [h] at this 
     exact IH _ this B rfl
   -- Express the inductive assumption for `C`
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in pi_finset C, f fun i => g i (r i) :=
@@ -626,7 +626,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     have : (∑ i, Finset.card (C i)) < ∑ i, Finset.card (A i) :=
       Finset.sum_lt_sum (fun i hi => Finset.card_le_of_subset (C_subset_A i))
         ⟨i₀, Finset.mem_univ _, by simp [C, hi₀]⟩
-    rw [h] at this
+    rw [h] at this 
     exact IH _ this C rfl
   have D : Disjoint (pi_finset B) (pi_finset C) :=
     haveI : Disjoint (B i₀) (C i₀) := by simp [B, C]

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

@@ -81,7 +81,7 @@ since `_inst` is a free variable and so the equality can just be substituted.
 
 open Function Fin Set
 
-open BigOperators
+open scoped BigOperators
 
 universe u v v' v₁ v₂ v₃ w u'
 

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

@@ -123,9 +123,6 @@ theorem toFun_eq_coe : f.toFun = f :=
 #align multilinear_map.to_fun_eq_coe MultilinearMap.toFun_eq_coe
 -/
 
-/- warning: multilinear_map.coe_mk -> MultilinearMap.coe_mk is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_mk MultilinearMap.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   rfl
@@ -169,17 +166,11 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
 -/
 
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-<too large>
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 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   by ext; rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
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 @[simp]
 protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x + y)) = f (update m i x) + f (update m i y) :=
@@ -194,35 +185,17 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 #align multilinear_map.map_smul MultilinearMap.map_smul
 -/
 
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 theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
   classical
     have : (0 : R) • (0 : M₁ i) = 0 := by simp
     rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 
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 @[simp]
 theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
   f.map_coord_zero i (update_same i 0 m)
 #align multilinear_map.map_update_zero MultilinearMap.map_update_zero
 
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 @[simp]
 theorem map_zero [Nonempty ι] : f 0 = 0 :=
   by
@@ -235,9 +208,6 @@ instance : Add (MultilinearMap R M₁ M₂) :=
     ⟨fun x => f x + f' x, fun m i x y => by simp [add_left_comm, add_assoc], fun _ m i c x => by
       simp [smul_add]⟩⟩
 
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 @[simp]
 theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
   rfl
@@ -249,12 +219,6 @@ instance : Zero (MultilinearMap R M₁ M₂) :=
 instance : Inhabited (MultilinearMap R M₁ M₂) :=
   ⟨0⟩
 
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 @[simp]
 theorem zero_apply (m : ∀ i, M₁ i) : (0 : MultilinearMap R M₁ M₂) m = 0 :=
   rfl
@@ -270,17 +234,11 @@ instance : SMul R' (MultilinearMap A M₁ M₂) :=
     ⟨fun m => c • f m, fun _ m i x y => by simp [smul_add], fun _ l i x d => by
       simp [← smul_comm x c]⟩⟩
 
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 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
   rfl
 #align multilinear_map.smul_apply MultilinearMap.smul_apply
 
-/- warning: multilinear_map.coe_smul -> MultilinearMap.coe_smul is a dubious translation:
-<too large>
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 theorem coe_smul (c : R') (f : MultilinearMap A M₁ M₂) : ⇑(c • f) = c • f :=
   rfl
 #align multilinear_map.coe_smul MultilinearMap.coe_smul
@@ -290,9 +248,6 @@ end SMul
 instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
   coe_injective.AddCommMonoid _ rfl (fun _ _ => rfl) fun _ _ => rfl
 
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 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
@@ -314,12 +269,6 @@ def toLinearMap [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R]
 #align multilinear_map.to_linear_map MultilinearMap.toLinearMap
 -/
 
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 /-- The cartesian product of two multilinear maps, as a multilinear map. -/
 @[simps]
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
@@ -393,9 +342,6 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
 
 variable {R}
 
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-<too large>
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 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -404,9 +350,6 @@ theorem cons_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (x
   rw [← update_cons_zero x m (x + y), f.map_add, update_cons_zero, update_cons_zero]
 #align multilinear_map.cons_add MultilinearMap.cons_add
 
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-<too large>
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 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -415,9 +358,6 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
   rw [← update_cons_zero x m (c • x), f.map_smul, update_cons_zero]
 #align multilinear_map.cons_smul MultilinearMap.cons_smul
 
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-<too large>
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 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -426,9 +366,6 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
   rw [← update_snoc_last x m (x + y), f.map_add, update_snoc_last, update_snoc_last]
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
 
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 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -463,18 +400,12 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 #align multilinear_map.comp_linear_map MultilinearMap.compLinearMap
 -/
 
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 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
     (m : ∀ i, M₁ i) : g.compLinearMap f m = g fun i => f i (m i) :=
   rfl
 #align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_apply
 
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 /-- Composing a multilinear map twice with a linear map in each argument is
 the same as composing with their composition. -/
 theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M₁' i →ₗ[R] M₁'' i)
@@ -483,12 +414,6 @@ theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M
   rfl
 #align multilinear_map.comp_linear_map_assoc MultilinearMap.compLinearMap_assoc
 
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 /-- Composing the zero multilinear map with a linear map in each argument. -/
 @[simp]
 theorem zero_compLinearMap (f : ∀ i, M₁ i →ₗ[R] M₁' i) :
@@ -496,12 +421,6 @@ theorem zero_compLinearMap (f : ∀ i, M₁ i →ₗ[R] M₁' i) :
   ext fun _ => rfl
 #align multilinear_map.zero_comp_linear_map MultilinearMap.zero_compLinearMap
 
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 /-- Composing a multilinear map with the identity linear map in each argument. -/
 @[simp]
 theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
@@ -509,9 +428,6 @@ theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
   ext fun _ => rfl
 #align multilinear_map.comp_linear_map_id MultilinearMap.compLinearMap_id
 
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 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
     Injective fun g : MultilinearMap R M₁' M₂ => g.compLinearMap f := fun g₁ g₂ h =>
@@ -519,17 +435,11 @@ theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀
     simpa [fun i => surj_inv_eq (hf i)] using ext_iff.mp h fun i => surj_inv (hf i) (x i)
 #align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injective
 
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 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
   (compLinearMap_injective _ hf).eq_iff
 #align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_inj
 
-/- warning: multilinear_map.comp_linear_equiv_eq_zero_iff -> MultilinearMap.comp_linearEquiv_eq_zero_iff is a dubious translation:
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 /-- Composing a multilinear map with a linear equiv on each argument gives the zero map
 if and only if the multilinear map is the zero map. -/
 @[simp]
@@ -542,9 +452,6 @@ theorem comp_linearEquiv_eq_zero_iff (g : MultilinearMap R M₁' M₂) (f : ∀
 
 end
 
-/- warning: multilinear_map.map_piecewise_add -> MultilinearMap.map_piecewise_add is a dubious translation:
-<too large>
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 /-- If one adds to a vector `m'` another vector `m`, but only for coordinates in a finset `t`, then
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
 `t`. This is mainly an auxiliary statement to prove the result when `t = univ`, given in
@@ -583,9 +490,6 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
   rw [this]
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
 
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 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
 theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
@@ -599,9 +503,6 @@ variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (
 
 open Fintype Finset
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -756,9 +657,6 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   rw [← Finset.sum_union D]
 #align multilinear_map.map_sum_finset_aux MultilinearMap.map_sum_finset_aux
 
-/- warning: multilinear_map.map_sum_finset -> MultilinearMap.map_sum_finset is a dubious translation:
-<too large>
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -768,9 +666,6 @@ theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
   f.map_sum_finset_aux _ _ rfl
 #align multilinear_map.map_sum_finset MultilinearMap.map_sum_finset
 
-/- warning: multilinear_map.map_sum -> MultilinearMap.map_sum is a dubious translation:
-<too large>
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 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
 multilinearity by expanding successively with respect to each coordinate. -/
@@ -779,9 +674,6 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
   f.map_sum_finset g fun i => Finset.univ
 #align multilinear_map.map_sum MultilinearMap.map_sum
 
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 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
@@ -821,9 +713,6 @@ def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M
 #align multilinear_map.restrict_scalars MultilinearMap.restrictScalars
 -/
 
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 @[simp]
 theorem coe_restrictScalars (f : MultilinearMap A M₁ M₂) : ⇑(f.restrictScalars R) = f :=
   rfl
@@ -854,36 +743,18 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun i : ι₁ => M
 #align multilinear_map.dom_dom_congr MultilinearMap.domDomCongr
 -/
 
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 theorem domDomCongr_trans (σ₁ : ι₁ ≃ ι₂) (σ₂ : ι₂ ≃ ι₃)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₁.trans σ₂) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_trans MultilinearMap.domDomCongr_trans
 
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 theorem domDomCongr_mul (σ₁ : Equiv.Perm ι₁) (σ₂ : Equiv.Perm ι₁)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₂ * σ₁) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_mul MultilinearMap.domDomCongr_mul
 
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 /-- `multilinear_map.dom_dom_congr` as an equivalence.
 
 This is declared separately because it does not work with dot notation. -/
@@ -898,12 +769,6 @@ def domDomCongrEquiv (σ : ι₁ ≃ ι₂) :
   map_add' a b := by ext; simp
 #align multilinear_map.dom_dom_congr_equiv MultilinearMap.domDomCongrEquiv
 
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 /-- The results of applying `dom_dom_congr` to two maps are equal if
 and only if those maps are. -/
 @[simp]
@@ -933,18 +798,12 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 #align linear_map.comp_multilinear_map LinearMap.compMultilinearMap
 -/
 
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 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
     ⇑(g.compMultilinearMap f) = g ∘ f :=
   rfl
 #align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMap
 
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 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     g.compMultilinearMap f m = g (f m) :=
@@ -960,9 +819,6 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 #align linear_map.subtype_comp_multilinear_map_cod_restrict LinearMap.subtype_compMultilinearMap_codRestrict
 -/
 
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 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
 theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂)
@@ -974,9 +830,6 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
 
 variable {ι₁ ι₂ : Type _}
 
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 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
     (f : MultilinearMap R (fun i : ι₁ => M') M₂) :
@@ -1160,12 +1013,6 @@ protected def mkPiAlgebra : MultilinearMap R (fun i : ι => A) A
 
 variable {R A ι}
 
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 @[simp]
 theorem mkPiAlgebra_apply (m : ι → A) : MultilinearMap.mkPiAlgebra R ι A m = ∏ i, m i :=
   rfl
@@ -1204,24 +1051,12 @@ protected def mkPiAlgebraFin : MultilinearMap R (fun i : Fin n => A) A
 
 variable {R A n}
 
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 @[simp]
 theorem mkPiAlgebraFin_apply (m : Fin n → A) :
     MultilinearMap.mkPiAlgebraFin R n A m = (List.ofFn m).Prod :=
   rfl
 #align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_apply
 
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 theorem mkPiAlgebraFin_apply_const (a : A) :
     (MultilinearMap.mkPiAlgebraFin R n A fun _ => a) = a ^ n := by simp
 #align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_const
@@ -1287,22 +1122,10 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
 #align multilinear_map.mk_pi_ring_eq_iff MultilinearMap.mkPiRing_eq_iff
 -/
 
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 theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0 := by
   ext <;> rw [mk_pi_ring_apply, smul_zero, MultilinearMap.zero_apply]
 #align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zero
 
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 theorem mkPiRing_eq_zero_iff [Fintype ι] (z : M₂) : MultilinearMap.mkPiRing R ι z = 0 ↔ z = 0 := by
   rw [← mk_pi_ring_zero, mk_pi_ring_eq_iff]
 #align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iff
@@ -1317,12 +1140,6 @@ variable [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommGroup M₂] [∀ i
 instance : Neg (MultilinearMap R M₁ M₂) :=
   ⟨fun f => ⟨fun m => -f m, fun _ m i x y => by simp [add_comm], fun _ m i c x => by simp⟩⟩
 
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 @[simp]
 theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
   rfl
@@ -1334,9 +1151,6 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
       simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]; cc, fun _ m i c x => by
       simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
-/- warning: multilinear_map.sub_apply -> MultilinearMap.sub_apply is a dubious translation:
-<too large>
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 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
   rfl
@@ -1366,9 +1180,6 @@ section AddCommGroup
 variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i, Module R (M₁ i)]
   [Module R M₂] (f : MultilinearMap R M₁ M₂)
 
-/- warning: multilinear_map.map_neg -> MultilinearMap.map_neg is a dubious translation:
-<too large>
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 @[simp]
 theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
     f (update m i (-x)) = -f (update m i x) :=
@@ -1376,9 +1187,6 @@ theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
     rw [← MultilinearMap.map_add, add_left_neg, f.map_coord_zero i (update_same i 0 m)]
 #align multilinear_map.map_neg MultilinearMap.map_neg
 
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 @[simp]
 theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x - y)) = f (update m i x) - f (update m i y) := by
@@ -1436,12 +1244,6 @@ variable {R M M₂} [CommSemiring R] [∀ i, AddCommMonoid (M i)] [AddCommMonoid
 /-! #### Left currying -/
 
 
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 /-- Given a linear map `f` from `M 0` to multilinear maps on `n` variables,
 construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (m 0) (tail m)`-/
@@ -1471,21 +1273,12 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       rw [tail_update_succ, tail_update_succ, MultilinearMap.map_smul]
 #align linear_map.uncurry_left LinearMap.uncurryLeft
 
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 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
     (m : ∀ i, M i) : f.uncurryLeft m = f (m 0) (tail m) :=
   rfl
 #align linear_map.uncurry_left_apply LinearMap.uncurryLeft_apply
 
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 /-- Given a multilinear map `f` in `n+1` variables, split the first variable to obtain
 a linear map into multilinear maps in `n` variables, given by `x ↦ (m ↦ f (cons x m))`. -/
 def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
@@ -1499,21 +1292,12 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
   map_smul' c x := by ext m; exact cons_smul f m c x
 #align multilinear_map.curry_left MultilinearMap.curryLeft
 
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 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
     (m : ∀ i : Fin n, M i.succ) : f.curryLeft x m = f (cons x m) :=
   rfl
 #align multilinear_map.curry_left_apply MultilinearMap.curryLeft_apply
 
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-Case conversion may be inaccurate. Consider using '#align linear_map.curry_uncurry_left LinearMap.curry_uncurryLeftₓ'. -/
 @[simp]
 theorem LinearMap.curry_uncurryLeft
     (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f :=
@@ -1532,9 +1316,6 @@ theorem MultilinearMap.uncurry_curryLeft (f : MultilinearMap R M M₂) :
 
 variable (R M M₂)
 
-/- warning: multilinear_curry_left_equiv -> multilinearCurryLeftEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_curry_left_equiv multilinearCurryLeftEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from `M 0` to the space of multilinear maps on
 `Π(i : fin n), M i.succ `, by separating the first variable. We register this isomorphism as a
@@ -1558,9 +1339,6 @@ variable {R M M₂}
 /-! #### Right currying -/
 
 
-/- warning: multilinear_map.uncurry_right -> MultilinearMap.uncurryRight is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (init m) (m (last n))`-/
@@ -1599,9 +1377,6 @@ def MultilinearMap.uncurryRight
       rw [update_same, update_same, init_update_last, init_update_last, map_smul]
 #align multilinear_map.uncurry_right MultilinearMap.uncurryRight
 
-/- warning: multilinear_map.uncurry_right_apply -> MultilinearMap.uncurryRight_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) (m : ∀ i, M i) :
@@ -1609,9 +1384,6 @@ theorem MultilinearMap.uncurryRight_apply
   rfl
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
 
-/- warning: multilinear_map.curry_right -> MultilinearMap.curryRight is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
@@ -1634,18 +1406,12 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
     rw [snoc_update, snoc_update, f.map_smul]
 #align multilinear_map.curry_right MultilinearMap.curryRight
 
-/- warning: multilinear_map.curry_right_apply -> MultilinearMap.curryRight_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
     (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
   rfl
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
 
-/- warning: multilinear_map.curry_uncurry_right -> MultilinearMap.curry_uncurryRight is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) :
@@ -1664,9 +1430,6 @@ theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
 
 variable (R M M₂)
 
-/- warning: multilinear_curry_right_equiv -> multilinearCurryRightEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the
 space of linear maps on `M (last n)`, by separating the last variable. We register this isomorphism
@@ -1715,9 +1478,6 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
 #align multilinear_map.curry_sum MultilinearMap.currySum
 -/
 
-/- warning: multilinear_map.curry_sum_apply -> MultilinearMap.currySum_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_sum_apply MultilinearMap.currySum_applyₓ'. -/
 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
     (v : ι' → M') : f.currySum u v = f (Sum.elim u v) :=
@@ -1748,9 +1508,6 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
 #align multilinear_map.uncurry_sum MultilinearMap.uncurrySum
 -/
 
-/- warning: multilinear_map.uncurry_sum_aux_apply -> MultilinearMap.uncurrySum_aux_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_applyₓ'. -/
 @[simp]
 theorem uncurrySum_aux_apply
     (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x : ι' => M') M₂))
@@ -1779,17 +1536,11 @@ def currySumEquiv :
 
 variable {ι ι' R M₂ M'}
 
-/- warning: multilinear_map.coe_curry_sum_equiv -> MultilinearMap.coe_currySumEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
   rfl
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
 
-/- warning: multilinear_map.coe_curr_sum_equiv_symm -> MultilinearMap.coe_currySumEquiv_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symmₓ'. -/
 @[simp]
 theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
   rfl
@@ -1797,9 +1548,6 @@ theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncu
 
 variable (R M₂ M')
 
-/- warning: multilinear_map.curry_fin_finset -> MultilinearMap.curryFinFinset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinsetₓ'. -/
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
 multilinear maps on `λ i : fin k, M'` taking values in the space of multilinear maps
@@ -1813,9 +1561,6 @@ def curryFinFinset {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : s
 
 variable {R M₂ M'}
 
-/- warning: multilinear_map.curry_fin_finset_apply -> MultilinearMap.curryFinFinset_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
     (f : MultilinearMap R (fun x : Fin n => M') M₂) (mk : Fin k → M') (ml : Fin l → M') :
@@ -1824,9 +1569,6 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
   rfl
 #align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_apply
 
-/- warning: multilinear_map.curry_fin_finset_symm_apply -> MultilinearMap.curryFinFinset_symm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1838,9 +1580,6 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_apply
 
-/- warning: multilinear_map.curry_fin_finset_symm_apply_piecewise_const -> MultilinearMap.curryFinFinset_symm_apply_piecewise_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1856,9 +1595,6 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
     exact Finset.mem_compl.1 (Finset.orderEmbOfFin_mem _ _ _)
 #align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_const
 
-/- warning: multilinear_map.curry_fin_finset_symm_apply_const -> MultilinearMap.curryFinFinset_symm_apply_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1867,9 +1603,6 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_const
 
-/- warning: multilinear_map.curry_fin_finset_apply_const -> MultilinearMap.curryFinFinset_apply_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l) (f : MultilinearMap R (fun x : Fin n => M') M₂) (x y : M') :

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

@@ -144,13 +144,8 @@ theorem congr_arg (f : MultilinearMap R M₁ M₂) {x y : ∀ i, M₁ i} (h : x
 -/
 
 #print MultilinearMap.coe_injective /-
-theorem coe_injective : Injective (coeFn : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) :=
-  by
-  intro f g h
-  cases f
-  cases g
-  cases h
-  rfl
+theorem coe_injective : Injective (coeFn : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) := by
+  intro f g h; cases f; cases g; cases h; rfl
 #align multilinear_map.coe_injective MultilinearMap.coe_injective
 -/
 
@@ -179,9 +174,7 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_coe MultilinearMap.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
-  by
-  ext
-  rfl
+  by ext; rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
 /- warning: multilinear_map.map_add -> MultilinearMap.map_add is a dubious translation:
@@ -305,11 +298,8 @@ theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
   classical
     apply Finset.induction
-    · rw [Finset.sum_empty]
-      simp
-    · intro a s has H
-      rw [Finset.sum_insert has]
-      simp [H, has]
+    · rw [Finset.sum_empty]; simp
+    · intro a s has H; rw [Finset.sum_insert has]; simp [H, has]
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 
 #print MultilinearMap.toLinearMap /-
@@ -363,11 +353,9 @@ variable (R M₂)
 def ofSubsingleton [Subsingleton ι] (i' : ι) : MultilinearMap R (fun _ : ι => M₂) M₂
     where
   toFun := Function.eval i'
-  map_add' _ m i x y := by
-    rw [Subsingleton.elim i i']
+  map_add' _ m i x y := by rw [Subsingleton.elim i i'];
     simp only [Function.eval, Function.update_same]
-  map_smul' _ m i r x := by
-    rw [Subsingleton.elim i i']
+  map_smul' _ m i r x := by rw [Subsingleton.elim i i'];
     simp only [Function.eval, Function.update_same]
 #align multilinear_map.of_subsingleton MultilinearMap.ofSubsingleton
 -/
@@ -397,14 +385,9 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
     (hk : s.card = k) (z : M') : MultilinearMap R (fun i : Fin k => M') M₂
     where
   toFun v := f fun j => if h : j ∈ s then v ((s.orderIsoOfFin hk).symm ⟨j, h⟩) else z
-  map_add' _ v i x y :=
-    by
-    erw [dite_comp_equiv_update, dite_comp_equiv_update, dite_comp_equiv_update]
-    simp
-  map_smul' _ v i c x :=
-    by
-    erw [dite_comp_equiv_update, dite_comp_equiv_update]
-    simp
+  map_add' _ v i x y := by
+    erw [dite_comp_equiv_update, dite_comp_equiv_update, dite_comp_equiv_update]; simp
+  map_smul' _ v i c x := by erw [dite_comp_equiv_update, dite_comp_equiv_update]; simp
 #align multilinear_map.restr MultilinearMap.restr
 -/
 
@@ -579,16 +562,14 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
     by
     ext j
     by_cases h : j = i
-    · rw [h]
-      simp [hit]
+    · rw [h]; simp [hit]
     · simp [h]
   let m'' := update m' i (m i)
   have C : update (t.piecewise (m + m') m') i (m i) = t.piecewise (m + m'') m'' :=
     by
     ext j
     by_cases h : j = i
-    · rw [h]
-      simp [m'', hit]
+    · rw [h]; simp [m'', hit]
     · by_cases h' : j ∈ t <;> simp [h, hit, m'', h']
   rw [A, f.map_add, B, C, Finset.sum_powerset_insert hit, Hrec, Hrec, add_comm]
   congr 1
@@ -597,8 +578,7 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
     by
     ext j
     by_cases h : j = i
-    · rw [h]
-      simp [m'', Finset.not_mem_of_mem_powerset_of_not_mem hs hit]
+    · rw [h]; simp [m'', Finset.not_mem_of_mem_powerset_of_not_mem hs hit]
     · by_cases h' : j ∈ s <;> simp [h, m'', h']
   rw [this]
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
@@ -679,14 +659,12 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   have B_subset_A : ∀ i, B i ⊆ A i := by
     intro i
     by_cases hi : i = i₀
-    · rw [hi]
-      simp only [B, sdiff_subset, update_same]
+    · rw [hi]; simp only [B, sdiff_subset, update_same]
     · simp only [hi, B, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
   have C_subset_A : ∀ i, C i ⊆ A i := by
     intro i
     by_cases hi : i = i₀
-    · rw [hi]
-      simp only [C, hj₂, Finset.singleton_subset_iff, update_same]
+    · rw [hi]; simp only [C, hj₂, Finset.singleton_subset_iff, update_same]
     · simp only [hi, C, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
   -- split the sum at `i₀` as the sum over `B i₀` plus the sum over `C i₀`, to use additivity.
   have A_eq_BC :
@@ -706,9 +684,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       rw [this]
       apply Finset.sum_union
       apply Finset.disjoint_right.2 fun j hj => _
-      have : j = j₂ := by
-        dsimp [C] at hj
-        simpa using hj
+      have : j = j₂ := by dsimp [C] at hj; simpa using hj
       rw [this]
       dsimp [B]
       simp only [mem_sdiff, eq_self_iff_true, not_true, not_false_iff, Finset.mem_singleton,
@@ -720,8 +696,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by
     ext i
     by_cases hi : i = i₀
-    · rw [hi]
-      simp only [update_same]
+    · rw [hi]; simp only [update_same]
     · simp only [hi, B, update_noteq, Ne.def, not_false_iff]
   have Ceq :
     Function.update (fun i => ∑ j in A i, g i j) i₀ (∑ j in C i₀, g i₀ j) = fun i =>
@@ -729,8 +704,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by
     ext i
     by_cases hi : i = i₀
-    · rw [hi]
-      simp only [update_same]
+    · rw [hi]; simp only [update_same]
     · simp only [hi, C, update_noteq, Ne.def, not_false_iff]
   -- Express the inductive assumption for `B`
   have Brec : (f fun i => ∑ j in B i, g i j) = ∑ r in pi_finset B, f fun i => g i (r i) :=
@@ -872,15 +846,11 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun i : ι₁ => M
     where
   toFun v := m fun i => v (σ i)
   map_add' _ v i a b := by
-    skip
-    letI := σ.injective.decidable_eq
-    simp_rw [Function.update_apply_equiv_apply v]
-    rw [m.map_add]
+    skip; letI := σ.injective.decidable_eq
+    simp_rw [Function.update_apply_equiv_apply v]; rw [m.map_add]
   map_smul' _ v i a b := by
-    skip
-    letI := σ.injective.decidable_eq
-    simp_rw [Function.update_apply_equiv_apply v]
-    rw [m.map_smul]
+    skip; letI := σ.injective.decidable_eq
+    simp_rw [Function.update_apply_equiv_apply v]; rw [m.map_smul]
 #align multilinear_map.dom_dom_congr MultilinearMap.domDomCongr
 -/
 
@@ -923,15 +893,9 @@ def domDomCongrEquiv (σ : ι₁ ≃ ι₂) :
     where
   toFun := domDomCongr σ
   invFun := domDomCongr σ.symm
-  left_inv m := by
-    ext
-    simp
-  right_inv m := by
-    ext
-    simp
-  map_add' a b := by
-    ext
-    simp
+  left_inv m := by ext; simp
+  right_inv m := by ext; simp
+  map_add' a b := by ext; simp
 #align multilinear_map.dom_dom_congr_equiv MultilinearMap.domDomCongrEquiv
 
 /- warning: multilinear_map.dom_dom_congr_eq_iff -> MultilinearMap.domDomCongr_eq_iff is a dubious translation:
@@ -1016,10 +980,7 @@ Case conversion may be inaccurate. Consider using '#align linear_map.comp_multil
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
     (f : MultilinearMap R (fun i : ι₁ => M') M₂) :
-    (g.compMultilinearMap f).domDomCongr σ = g.compMultilinearMap (f.domDomCongr σ) :=
-  by
-  ext
-  simp
+    (g.compMultilinearMap f).domDomCongr σ = g.compMultilinearMap (f.domDomCongr σ) := by ext; simp
 #align linear_map.comp_multilinear_map_dom_dom_congr LinearMap.compMultilinearMap_domDomCongr
 
 end LinearMap
@@ -1047,8 +1008,7 @@ theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (
     by
     ext i
     by_cases h : i = j
-    · rw [h]
-      simp [j_not_mem_s]
+    · rw [h]; simp [j_not_mem_s]
     · simp [h]
   rw [s.piecewise_insert, f.map_smul, A, Hrec]
   simp [j_not_mem_s, mul_smul]
@@ -1116,9 +1076,7 @@ def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
   {
     (domDomCongrEquiv σ :
       MultilinearMap A (fun i : ι₁ => M₂) M₃ ≃+ MultilinearMap A (fun i : ι₂ => M₂) M₃) with
-    map_smul' := fun c f => by
-      ext
-      simp }
+    map_smul' := fun c f => by ext; simp }
 #align multilinear_map.dom_dom_congr_linear_equiv MultilinearMap.domDomCongrLinearEquiv
 -/
 
@@ -1158,18 +1116,10 @@ def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
         rw [← σ.symm_apply_apply i]
         intro x
         simp only [comp_app, Pi_congr_left'_update, f.map_smul] }
-  map_add' f₁ f₂ := by
-    ext
-    simp only [comp_app, coe_mk, add_apply]
-  map_smul' c f := by
-    ext
-    simp only [comp_app, coe_mk, smul_apply, RingHom.id_apply]
-  left_inv f := by
-    ext
-    simp only [comp_app, coe_mk, Equiv.symm_apply_apply]
-  right_inv f := by
-    ext
-    simp only [comp_app, coe_mk, Equiv.apply_symm_apply]
+  map_add' f₁ f₂ := by ext; simp only [comp_app, coe_mk, add_apply]
+  map_smul' c f := by ext; simp only [comp_app, coe_mk, smul_apply, RingHom.id_apply]
+  left_inv f := by ext; simp only [comp_app, coe_mk, Equiv.symm_apply_apply]
+  right_inv f := by ext; simp only [comp_app, coe_mk, Equiv.apply_symm_apply]
 #align multilinear_map.dom_dom_congr_linear_equiv' MultilinearMap.domDomCongrLinearEquiv'
 -/
 
@@ -1320,9 +1270,7 @@ theorem mkPiRing_apply_one_eq_self [Fintype ι] (f : MultilinearMap R (fun i : 
     MultilinearMap.mkPiRing R ι (f fun i => 1) = f :=
   by
   ext m
-  have : m = fun i => m i • 1 := by
-    ext j
-    simp
+  have : m = fun i => m i • 1 := by ext j; simp
   conv_rhs => rw [this, f.map_smul_univ]
   rfl
 #align multilinear_map.mk_pi_ring_apply_one_eq_self MultilinearMap.mkPiRing_apply_one_eq_self
@@ -1335,8 +1283,7 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
   simp_rw [MultilinearMap.ext_iff, mk_pi_ring_apply]
   constructor <;> intro h
   · simpa using h fun _ => 1
-  · intro x
-    simp [h]
+  · intro x; simp [h]
 #align multilinear_map.mk_pi_ring_eq_iff MultilinearMap.mkPiRing_eq_iff
 -/
 
@@ -1383,10 +1330,9 @@ theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
 
 instance : Sub (MultilinearMap R M₁ M₂) :=
   ⟨fun f g =>
-    ⟨fun m => f m - g m, fun _ m i x y =>
-      by
-      simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]
-      cc, fun _ m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
+    ⟨fun m => f m - g m, fun _ m i x y => by
+      simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]; cc, fun _ m i c x => by
+      simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
 /- warning: multilinear_map.sub_apply -> MultilinearMap.sub_apply is a dubious translation:
 <too large>
@@ -1454,12 +1400,8 @@ protected def piRingEquiv [Fintype ι] : M₂ ≃ₗ[R] MultilinearMap R (fun i
     where
   toFun z := MultilinearMap.mkPiRing R ι z
   invFun f := f fun i => 1
-  map_add' z z' := by
-    ext m
-    simp [smul_add]
-  map_smul' c z := by
-    ext m
-    simp [smul_smul, mul_comm]
+  map_add' z z' := by ext m; simp [smul_add]
+  map_smul' c z := by ext m; simp [smul_smul, mul_comm]
   left_inv z := by simp
   right_inv f := f.mkPiRing_apply_one_eq_self
 #align multilinear_map.pi_ring_equiv MultilinearMap.piRingEquiv
@@ -1551,20 +1493,10 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
     where
   toFun x :=
     { toFun := fun m => f (cons x m)
-      map_add' := fun dec m i y y' =>
-        by
-        rw [Subsingleton.elim dec (by infer_instance)]
-        simp
-      map_smul' := fun dec m i y c =>
-        by
-        rw [Subsingleton.elim dec (by infer_instance)]
-        simp }
-  map_add' x y := by
-    ext m
-    exact cons_add f m x y
-  map_smul' c x := by
-    ext m
-    exact cons_smul f m c x
+      map_add' := fun dec m i y y' => by rw [Subsingleton.elim dec (by infer_instance)]; simp
+      map_smul' := fun dec m i y c => by rw [Subsingleton.elim dec (by infer_instance)]; simp }
+  map_add' x y := by ext m; exact cons_add f m x y
+  map_smul' c x := by ext m; exact cons_smul f m c x
 #align multilinear_map.curry_left MultilinearMap.curryLeft
 
 /- warning: multilinear_map.curry_left_apply -> MultilinearMap.curryLeft_apply is a dubious translation:
@@ -1594,9 +1526,7 @@ theorem LinearMap.curry_uncurryLeft
 #print MultilinearMap.uncurry_curryLeft /-
 @[simp]
 theorem MultilinearMap.uncurry_curryLeft (f : MultilinearMap R M M₂) :
-    f.curryLeft.uncurryLeft = f := by
-  ext m
-  simp
+    f.curryLeft.uncurryLeft = f := by ext m; simp
 #align multilinear_map.uncurry_curry_left MultilinearMap.uncurry_curryLeft
 -/
 
@@ -1616,12 +1546,8 @@ def multilinearCurryLeftEquiv :
     (M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) ≃ₗ[R] MultilinearMap R M M₂
     where
   toFun := LinearMap.uncurryLeft
-  map_add' f₁ f₂ := by
-    ext m
-    rfl
-  map_smul' c f := by
-    ext m
-    rfl
+  map_add' f₁ f₂ := by ext m; rfl
+  map_smul' c f := by ext m; rfl
   invFun := MultilinearMap.curryLeft
   left_inv := LinearMap.curry_uncurryLeft
   right_inv := MultilinearMap.uncurry_curryLeft
@@ -1732,9 +1658,7 @@ theorem MultilinearMap.curry_uncurryRight
 #print MultilinearMap.uncurry_curryRight /-
 @[simp]
 theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
-    f.curryRight.uncurryRight = f := by
-  ext m
-  simp
+    f.curryRight.uncurryRight = f := by ext m; simp
 #align multilinear_map.uncurry_curry_right MultilinearMap.uncurry_curryRight
 -/
 
@@ -1755,13 +1679,8 @@ def multilinearCurryRightEquiv :
       MultilinearMap R M M₂
     where
   toFun := MultilinearMap.uncurryRight
-  map_add' f₁ f₂ := by
-    ext m
-    rfl
-  map_smul' c f := by
-    ext m
-    rw [smul_apply]
-    rfl
+  map_add' f₁ f₂ := by ext m; rfl
+  map_smul' c f := by ext m; rw [smul_apply]; rfl
   invFun := MultilinearMap.curryRight
   left_inv := MultilinearMap.curry_uncurryRight
   right_inv := MultilinearMap.uncurry_curryRight
@@ -1780,22 +1699,18 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
   toFun u :=
     { toFun := fun v => f (Sum.elim u v)
       map_add' := fun _ v i x y => by
-        skip
-        letI := Classical.decEq ι
+        skip; letI := Classical.decEq ι
         simp only [← Sum.update_elim_inr, f.map_add]
       map_smul' := fun _ v i c x => by
-        skip
-        letI := Classical.decEq ι
+        skip; letI := Classical.decEq ι
         simp only [← Sum.update_elim_inr, f.map_smul] }
   map_add' _ u i x y :=
     ext fun v => by
-      skip
-      letI := Classical.decEq ι'
+      skip; letI := Classical.decEq ι'
       simp only [MultilinearMap.coe_mk, add_apply, ← Sum.update_elim_inl, f.map_add]
   map_smul' _ u i c x :=
     ext fun v => by
-      skip
-      letI := Classical.decEq ι'
+      skip; letI := Classical.decEq ι'
       simp only [MultilinearMap.coe_mk, smul_apply, ← Sum.update_elim_inl, f.map_smul]
 #align multilinear_map.curry_sum MultilinearMap.currySum
 -/
@@ -1856,15 +1771,9 @@ def currySumEquiv :
   toFun := currySum
   invFun := uncurrySum
   left_inv f := ext fun u => by simp
-  right_inv f := by
-    ext
-    simp
-  map_add' f g := by
-    ext
-    rfl
-  map_smul' c f := by
-    ext
-    rfl
+  right_inv f := by ext; simp
+  map_add' f g := by ext; rfl
+  map_smul' c f := by ext; rfl
 #align multilinear_map.curry_sum_equiv MultilinearMap.currySumEquiv
 -/
 
@@ -1941,11 +1850,9 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
       f (fun _ => x) fun _ => y :=
   by
   rw [curry_fin_finset_symm_apply]; congr
-  · ext i
-    rw [finSumEquivOfFinset_inl, Finset.piecewise_eq_of_mem]
+  · ext i; rw [finSumEquivOfFinset_inl, Finset.piecewise_eq_of_mem]
     apply Finset.orderEmbOfFin_mem
-  · ext i
-    rw [finSumEquivOfFinset_inr, Finset.piecewise_eq_of_not_mem]
+  · ext i; rw [finSumEquivOfFinset_inr, Finset.piecewise_eq_of_not_mem]
     exact Finset.mem_compl.1 (Finset.orderEmbOfFin_mem _ _ _)
 #align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_const
 
@@ -1996,10 +1903,8 @@ def map [Nonempty ι] (f : MultilinearMap R M₁ M₂) (p : ∀ i, Submodule R (
     let ⟨i⟩ := ‹Nonempty ι›
     letI := Classical.decEq ι
     refine' ⟨update x i (c • x i), fun j => if hij : j = i then _ else _, hf ▸ _⟩
-    · rw [hij, update_same]
-      exact (p i).smul_mem _ (hx i)
-    · rw [update_noteq hij]
-      exact hx j
+    · rw [hij, update_same]; exact (p i).smul_mem _ (hx i)
+    · rw [update_noteq hij]; exact hx j
     · rw [f.map_smul, update_eq_self]
 #align multilinear_map.map MultilinearMap.map
 -/

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
+! leanprover-community/mathlib commit 78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -124,10 +124,7 @@ theorem toFun_eq_coe : f.toFun = f :=
 -/
 
 /- warning: multilinear_map.coe_mk -> MultilinearMap.coe_mk is a dubious translation:
-lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_mk MultilinearMap.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
@@ -178,10 +175,7 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 -/
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_coe MultilinearMap.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
@@ -191,10 +185,7 @@ theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
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 @[simp]
 protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
@@ -252,10 +243,7 @@ instance : Add (MultilinearMap R M₁ M₂) :=
       simp [smul_add]⟩⟩
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.add_apply MultilinearMap.add_applyₓ'. -/
 @[simp]
 theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
@@ -290,10 +278,7 @@ instance : SMul R' (MultilinearMap A M₁ M₂) :=
       simp [← smul_comm x c]⟩⟩
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.smul_apply MultilinearMap.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
@@ -301,10 +286,7 @@ theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i)
 #align multilinear_map.smul_apply MultilinearMap.smul_apply
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_smul MultilinearMap.coe_smulₓ'. -/
 theorem coe_smul (c : R') (f : MultilinearMap A M₁ M₂) : ⇑(c • f) = c • f :=
   rfl
@@ -316,10 +298,7 @@ instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
   coe_injective.AddCommMonoid _ rfl (fun _ _ => rfl) fun _ _ => rfl
 
 /- warning: multilinear_map.sum_apply -> MultilinearMap.sum_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.sum_apply MultilinearMap.sum_applyₓ'. -/
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -352,6 +331,7 @@ but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.prod MultilinearMap.prodₓ'. -/
 /-- The cartesian product of two multilinear maps, as a multilinear map. -/
+@[simps]
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
     where
   toFun m := (f m, g m)
@@ -431,10 +411,7 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
 variable {R}
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_add MultilinearMap.cons_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the additivity of a
@@ -445,10 +422,7 @@ theorem cons_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (x
 #align multilinear_map.cons_add MultilinearMap.cons_add
 
 /- warning: multilinear_map.cons_smul -> MultilinearMap.cons_smul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_smul MultilinearMap.cons_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -459,10 +433,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 #align multilinear_map.cons_smul MultilinearMap.cons_smul
 
 /- warning: multilinear_map.snoc_add -> MultilinearMap.snoc_add is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
@@ -473,10 +444,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
 
 /- warning: multilinear_map.snoc_smul -> MultilinearMap.snoc_smul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -513,10 +481,7 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 -/
 
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 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
@@ -525,10 +490,7 @@ theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i
 #align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_apply
 
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 /-- Composing a multilinear map twice with a linear map in each argument is
 the same as composing with their composition. -/
@@ -565,10 +527,7 @@ theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
 #align multilinear_map.comp_linear_map_id MultilinearMap.compLinearMap_id
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injectiveₓ'. -/
 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
@@ -578,10 +537,7 @@ theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀
 #align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injective
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_injₓ'. -/
 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
@@ -589,10 +545,7 @@ theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Sur
 #align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_inj
 
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 /-- Composing a multilinear map with a linear equiv on each argument gives the zero map
 if and only if the multilinear map is the zero map. -/
@@ -607,10 +560,7 @@ theorem comp_linearEquiv_eq_zero_iff (g : MultilinearMap R M₁' M₂) (f : ∀
 end
 
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 /-- If one adds to a vector `m'` another vector `m`, but only for coordinates in a finset `t`, then
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
@@ -654,10 +604,7 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
 
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 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
@@ -673,10 +620,7 @@ variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (
 open Fintype Finset
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
@@ -839,10 +783,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
 #align multilinear_map.map_sum_finset_aux MultilinearMap.map_sum_finset_aux
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
@@ -854,10 +795,7 @@ theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
 #align multilinear_map.map_sum_finset MultilinearMap.map_sum_finset
 
 /- warning: multilinear_map.map_sum -> MultilinearMap.map_sum is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sum MultilinearMap.map_sumₓ'. -/
 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
@@ -868,10 +806,7 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
 #align multilinear_map.map_sum MultilinearMap.map_sum
 
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 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
@@ -913,10 +848,7 @@ def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M
 -/
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_restrict_scalars MultilinearMap.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (f : MultilinearMap A M₁ M₂) : ⇑(f.restrictScalars R) = f :=
@@ -1038,10 +970,7 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 -/
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMapₓ'. -/
 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
@@ -1050,10 +979,7 @@ theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M
 #align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMap
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_applyₓ'. -/
 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -1071,10 +997,7 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 -/
 
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 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
@@ -1088,10 +1011,7 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
 variable {ι₁ ι₂ : Type _}
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_dom_dom_congr LinearMap.compMultilinearMap_domDomCongrₓ'. -/
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
@@ -1469,10 +1389,7 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
       cc, fun _ m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.sub_apply MultilinearMap.sub_applyₓ'. -/
 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
@@ -1504,10 +1421,7 @@ variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i,
   [Module R M₂] (f : MultilinearMap R M₁ M₂)
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_neg MultilinearMap.map_negₓ'. -/
 @[simp]
 theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
@@ -1517,10 +1431,7 @@ theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
 #align multilinear_map.map_neg MultilinearMap.map_neg
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sub MultilinearMap.map_subₓ'. -/
 @[simp]
 theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
@@ -1619,10 +1530,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
 #align linear_map.uncurry_left LinearMap.uncurryLeft
 
 /- warning: linear_map.uncurry_left_apply -> LinearMap.uncurryLeft_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.uncurry_left_apply LinearMap.uncurryLeft_applyₓ'. -/
 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
@@ -1660,10 +1568,7 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
 #align multilinear_map.curry_left MultilinearMap.curryLeft
 
 /- warning: multilinear_map.curry_left_apply -> MultilinearMap.curryLeft_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_left_apply MultilinearMap.curryLeft_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
@@ -1698,10 +1603,7 @@ theorem MultilinearMap.uncurry_curryLeft (f : MultilinearMap R M M₂) :
 variable (R M M₂)
 
 /- warning: multilinear_curry_left_equiv -> multilinearCurryLeftEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_curry_left_equiv multilinearCurryLeftEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from `M 0` to the space of multilinear maps on
@@ -1731,10 +1633,7 @@ variable {R M M₂}
 
 
 /- warning: multilinear_map.uncurry_right -> MultilinearMap.uncurryRight is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
@@ -1775,10 +1674,7 @@ def MultilinearMap.uncurryRight
 #align multilinear_map.uncurry_right MultilinearMap.uncurryRight
 
 /- warning: multilinear_map.uncurry_right_apply -> MultilinearMap.uncurryRight_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1788,10 +1684,7 @@ theorem MultilinearMap.uncurryRight_apply
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
 
 /- warning: multilinear_map.curry_right -> MultilinearMap.curryRight is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
@@ -1816,10 +1709,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 #align multilinear_map.curry_right MultilinearMap.curryRight
 
 /- warning: multilinear_map.curry_right_apply -> MultilinearMap.curryRight_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1828,10 +1718,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
 
 /- warning: multilinear_map.curry_uncurry_right -> MultilinearMap.curry_uncurryRight is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
@@ -1854,10 +1741,7 @@ theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
 variable (R M M₂)
 
 /- warning: multilinear_curry_right_equiv -> multilinearCurryRightEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the
@@ -1917,10 +1801,7 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
 -/
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_sum_apply MultilinearMap.currySum_applyₓ'. -/
 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
@@ -1953,10 +1834,7 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_applyₓ'. -/
 @[simp]
 theorem uncurrySum_aux_apply
@@ -1993,10 +1871,7 @@ def currySumEquiv :
 variable {ι ι' R M₂ M'}
 
 /- warning: multilinear_map.coe_curry_sum_equiv -> MultilinearMap.coe_currySumEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
@@ -2004,10 +1879,7 @@ theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
 
 /- warning: multilinear_map.coe_curr_sum_equiv_symm -> MultilinearMap.coe_currySumEquiv_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symmₓ'. -/
 @[simp]
 theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
@@ -2017,10 +1889,7 @@ theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncu
 variable (R M₂ M')
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinsetₓ'. -/
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
@@ -2036,10 +1905,7 @@ def curryFinFinset {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : s
 variable {R M₂ M'}
 
 /- warning: multilinear_map.curry_fin_finset_apply -> MultilinearMap.curryFinFinset_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
@@ -2050,10 +1916,7 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
 #align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_apply
 
 /- warning: multilinear_map.curry_fin_finset_symm_apply -> MultilinearMap.curryFinFinset_symm_apply is a dubious translation:
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=> M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))) (Module.toDistribMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin k) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25241 : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R 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_inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25241 : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2067,10 +1930,7 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
 #align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_apply
 
 /- warning: multilinear_map.curry_fin_finset_symm_apply_piecewise_const -> MultilinearMap.curryFinFinset_symm_apply_piecewise_const is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2090,10 +1950,7 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
 #align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_const
 
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2104,10 +1961,7 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
 #align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_const
 
 /- warning: multilinear_map.curry_fin_finset_apply_const -> MultilinearMap.curryFinFinset_apply_const is a dubious translation:
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_inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25228 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25241 : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ 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+<too large>
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)

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

@@ -516,7 +516,7 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (coeFn.{max (succ u4) (succ u5) (succ u3), max (max (succ u4) (succ u5)) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (fun (f : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => (forall (i : ι), M₁' i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i) (m i)))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_applyₓ'. -/
 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
@@ -568,7 +568,7 @@ theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u2, succ u5} (M₁ i) (M₁' i) (coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i))) -> (Function.Injective.{max (succ u4) (succ u5) (succ u3), max (succ u4) (succ u2) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (Function.Injective.{max (max (succ u5) (succ u4)) (succ u1), max (max (succ u5) (succ u4)) (succ u3)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (Function.Injective.{max (max (succ u5) (succ u4)) (succ u1), max (max (succ u5) (succ u4)) (succ u3)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injectiveₓ'. -/
 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
@@ -581,7 +581,7 @@ theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u2, succ u5} (M₁ i) (M₁' i) (coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (succ u4) (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (succ u4) (succ u5) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (max (succ u5) (succ u4)) (succ u1)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (max (succ u5) (succ u4)) (succ u1)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_injₓ'. -/
 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
@@ -1041,7 +1041,7 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} ((forall (i : ι), M₁ i) -> M₃) (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMapₓ'. -/
 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
@@ -1053,7 +1053,7 @@ theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} M₃ (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_applyₓ'. -/
 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -1074,7 +1074,7 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.Mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.hasMem.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (succ u5) (succ u2) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrictₓ'. -/
 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
@@ -1622,7 +1622,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_2 (OfNat.ofNat.{0} 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_inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (m : forall (i : Fin (Nat.succ n)), M i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) m) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (LinearMap.uncurryLeft.{u1, u2, u3} R n M M₂ _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 f) m) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (m (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))) (forall (i : Fin n), M (Fin.succ n i)) (fun (f : forall (i : Fin n), M (Fin.succ n i)) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin n), M (Fin.succ n i)) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : 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(_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (fun (_x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, max u2 u3} R R (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (m (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))) (Fin.tail.{u2} n M m))
 Case conversion may be inaccurate. Consider using '#align linear_map.uncurry_left_apply LinearMap.uncurryLeft_applyₓ'. -/
 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
@@ -1663,7 +1663,7 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (m : forall (i : Fin n), M (Fin.succ n i)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_left_apply MultilinearMap.curryLeft_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 lean 3 declaration is
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(One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n 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 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 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(instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat 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(OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1996,7 +1996,7 @@ variable {ι ι' R M₂ M'}
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}}, Eq.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} ((MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) -> (MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySumEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))) (coeFn.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3)), max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} (LinearEquiv.{u1, u1, max (max u4 u5) u2 u3, max u4 u2 u5 u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MultilinearMap.currySumEquiv._proof_1.{u1} R _inst_1) (MultilinearMap.currySumEquiv._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R 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 but is expected to have type
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(smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) 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M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))))) (MultilinearMap.currySumEquiv.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')) (MultilinearMap.currySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
@@ -2007,7 +2007,7 @@ theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}}, Eq.{max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3))} ((MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySumEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7)) (coeFn.{max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3)), max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3))} (LinearEquiv.{u1, u1, max u4 u2 u5 u2 u3, max (max u4 u5) u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) 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 but is expected to have type
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_inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.currySumEquiv.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι'))) (MultilinearMap.uncurrySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symmₓ'. -/
 @[simp]
 theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
@@ -2039,7 +2039,7 @@ variable {R M₂ M'}
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
@@ -2053,7 +2053,7 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (m : (Fin n) -> M'), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2070,7 +2070,7 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2093,7 +2093,7 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2107,7 +2107,7 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
 lean 3 declaration is
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_inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25228 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25241 : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25228 : Fin n) => M') M₂ (fun (i : Fin n) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25241 : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Module.toMulActionWithZero.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) (fun (_x : Fin k) => x)) (fun (_x : Fin l) => y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.26360 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (Finset.piecewise.{0, succ u2} (Fin n) (fun (i : Fin n) => M') s (fun (_x : Fin n) => x) (fun (_x : Fin n) => y) (fun (j : Fin n) => Finset.decidableMem.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) j s)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

@@ -462,7 +462,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toHasAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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: Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHAdd.{u3} ((fun 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(Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin 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(y : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHAdd.{u3} ((fun 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(Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
@@ -476,7 +476,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat 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(Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (SMul.smul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toHasSmul.{u1, u2} R (M (Fin.last n)) 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(SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9)))) c (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, 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 but is expected to have type
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(Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HSMul.hSMul.{u1, u2, u2} R (M (Fin.last n)) (M (Fin.last n)) (instHSMul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toSMul.{u1, u2} R (M (Fin.last n)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M (Fin.last n)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n))))))) c x))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HSMul.hSMul.{u1, u2, u2} R (M (Fin.last n)) (M (Fin.last n)) (instHSMul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toSMul.{u1, u2} R (M (Fin.last n)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M (Fin.last n)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n))))))) c x))) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_1 _inst_4 _inst_9))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -1734,7 +1734,7 @@ variable {R M M₂}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.uncurryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin 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(DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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 but is expected to have type
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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 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(x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1791,7 +1791,7 @@ theorem MultilinearMap.uncurryRight_apply
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.curryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) 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(OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} 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(instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} 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(instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) 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x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat 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(instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1831,7 +1831,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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 but is expected to have type
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(HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 (MultilinearMap.uncurryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f)) f
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 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(x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))), Eq.{max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 (MultilinearMap.uncurryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f)) f
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
@@ -1857,7 +1857,7 @@ variable (R M M₂)
 lean 3 declaration is
   forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u2 u3, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (multilinearCurryRightEquiv._proof_1.{u1} R _inst_1) (multilinearCurryRightEquiv._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} 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Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (multilinearCurryRightEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (multilinearCurryRightEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (multilinearCurryRightEquiv._proof_4.{u1, u2, u3} R n M M₂ _inst_1 _inst_2 _inst_4 _inst_5 _inst_7)) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin (Nat.succ n)) M M₂ (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 _inst_7 (multilinearCurryRightEquiv._proof_5.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))
 but is expected to have type
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Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin 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1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun 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x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u1, u1, u1, u1, u2, u3} R R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin (Nat.succ n)) M M₂ (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))
+  forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} 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x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u1, u1, u1, u1, u2, u3} R R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) 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 Case conversion may be inaccurate. Consider using '#align multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the
@@ -2039,7 +2039,7 @@ variable {R M₂ M'}
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (mk : (Fin k) -> M') (ml : (Fin l) -> M'), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} 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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) mk) ml) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25434 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (fun (i : Fin n) => Sum.elim.{0, 0, succ u2} (Fin k) (Fin l) M' mk ml (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Fin n) => Sum.{0, 0} (Fin k) (Fin l)) _x) (Equiv.instFunLikeEquiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Equiv.symm.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl)) i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
@@ -2053,7 +2053,7 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => 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(smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (fun (i : Fin k) => m (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (Sum.{0, 0} (Fin k) (Fin l)) (fun (_x : Sum.{0, 0} (Fin k) (Fin l)) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Sum.{0, 0} (Fin k) (Fin l)) => Fin n) _x) (Equiv.instFunLikeEquiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl) (Sum.inl.{0, 0} (Fin k) (Fin l) i)))) (fun (i : Fin l) => m (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (Sum.{0, 0} (Fin k) (Fin l)) (fun (_x : Sum.{0, 0} (Fin k) (Fin l)) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : Sum.{0, 0} (Fin k) (Fin l)) => Fin n) _x) (Equiv.instFunLikeEquiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl) (Sum.inr.{0, 0} (Fin k) (Fin l) i))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)

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

@@ -516,7 +516,7 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (coeFn.{max (succ u4) (succ u5) (succ u3), max (max (succ u4) (succ u5)) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (fun (f : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => (forall (i : ι), M₁' i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i) (m i)))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_applyₓ'. -/
 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
@@ -568,7 +568,7 @@ theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u2, succ u5} (M₁ i) (M₁' i) (coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i))) -> (Function.Injective.{max (succ u4) (succ u5) (succ u3), max (succ u4) (succ u2) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (Function.Injective.{max (max (succ u5) (succ u4)) (succ u1), max (max (succ u5) (succ u4)) (succ u3)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (Function.Injective.{max (max (succ u5) (succ u4)) (succ u1), max (max (succ u5) (succ u4)) (succ u3)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injectiveₓ'. -/
 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
@@ -581,7 +581,7 @@ theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u2, succ u5} (M₁ i) (M₁' i) (coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (succ u4) (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (succ u4) (succ u5) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (max (succ u5) (succ u4)) (succ u1)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)), (forall (i : ι), Function.Surjective.{succ u3, succ u1} (M₁ i) (M₁' i) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i))) -> (forall (g₁ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (g₂ : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9), Iff (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₁ f) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g₂ f)) (Eq.{max (max (succ u5) (succ u4)) (succ u1)} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g₁ g₂))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_injₓ'. -/
 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
@@ -1041,7 +1041,7 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} ((forall (i : ι), M₁ i) -> M₃) (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMapₓ'. -/
 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
@@ -1053,7 +1053,7 @@ theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} M₃ (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_applyₓ'. -/
 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -1074,7 +1074,7 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.Mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.hasMem.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (succ u5) (succ u2) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrictₓ'. -/
 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
@@ -1622,7 +1622,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_2 (OfNat.ofNat.{0} 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_inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (m : forall (i : Fin (Nat.succ n)), M i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) m) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (LinearMap.uncurryLeft.{u1, u2, u3} R n M M₂ _inst_1 _inst_2 _inst_4 _inst_5 _inst_7 f) m) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (m (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))) (forall (i : Fin n), M (Fin.succ n i)) (fun (f : forall (i : Fin n), M (Fin.succ n i)) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin n), M (Fin.succ n i)) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : 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(_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (fun (_x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) => MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, max u2 u3} R R (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (m (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))) (Fin.tail.{u2} n M m))
 Case conversion may be inaccurate. Consider using '#align linear_map.uncurry_left_apply LinearMap.uncurryLeft_applyₓ'. -/
 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
@@ -1663,7 +1663,7 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (m : forall (i : Fin n), M (Fin.succ n i)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_left_apply MultilinearMap.curryLeft_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 lean 3 declaration is
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(One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n 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 but is expected to have type
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(instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 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(HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat 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(OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)

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

@@ -1294,7 +1294,7 @@ variable {R A ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_8 : CommSemiring.{u3} A] [_inst_9 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8)] [_inst_10 : Fintype.{u2} ι] (m : ι -> A), Eq.{succ u3} A (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) (fun (f : MultilinearMap.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) => (ι -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u1, u2, u3} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u3, u2} A ι (CommSemiring.toCommMonoid.{u3} A _inst_8) (Finset.univ.{u2} ι _inst_10) (fun (i : ι) => m i))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8)] [_inst_10 : Fintype.{u3} ι] (m : ι -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) m) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u1} (MultilinearMap.{u2, u1, u1, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (ι -> A) (fun (f : ι -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, u3} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u2, u3, u1} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u1, u3} A ι (CommSemiring.toCommMonoid.{u1} A _inst_8) (Finset.univ.{u3} ι _inst_10) (fun (i : ι) => m i))
+  forall {R : Type.{u2}} {ι : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8)] [_inst_10 : Fintype.{u3} ι] (m : ι -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) m) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u1} (MultilinearMap.{u2, u1, u1, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (ι -> A) (fun (f : ι -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, u3} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17592 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u2, u3, u1} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u1, u3} A ι (CommSemiring.toCommMonoid.{u1} A _inst_8) (Finset.univ.{u3} ι _inst_10) (fun (i : ι) => m i))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_apply MultilinearMap.mkPiAlgebra_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebra_apply (m : ι → A) : MultilinearMap.mkPiAlgebra R ι A m = ∏ i, m i :=
@@ -1338,7 +1338,7 @@ variable {R A n}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (fun (f : MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) => ((Fin n) -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u1, u2} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8)))) (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8)))) (List.ofFn.{u2} A n m))
 but is expected to have type
-  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) m) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Semiring.toOne.{u1} A _inst_8) (List.ofFn.{u1} A n m))
+  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) m) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Semiring.toOne.{u1} A _inst_8) (List.ofFn.{u1} A n m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebraFin_apply (m : Fin n → A) :
@@ -1350,7 +1350,7 @@ theorem mkPiAlgebraFin_apply (m : Fin n → A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_1 _inst_8] (a : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (fun (f : MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) => ((Fin n) -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u1, u2} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_8)))) a n)
 but is expected to have type
-  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18573 : Fin n) => a)) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (MonoidWithZero.toMonoid.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_8)))) a n)
+  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18561 : Fin n) => a)) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18077 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (MonoidWithZero.toMonoid.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_8)))) a n)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_constₓ'. -/
 theorem mkPiAlgebraFin_apply_const (a : A) :
     (MultilinearMap.mkPiAlgebraFin R n A fun _ => a) = a ^ n := by simp
@@ -1424,7 +1424,7 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (succ u3) (succ u1) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (OfNat.mk.{u2} M₂ 0 (Zero.zero.{u2} M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))))) (OfNat.ofNat.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (OfNat.mk.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.zero.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.hasZero.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))
+  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zeroₓ'. -/
 theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0 := by
   ext <;> rw [mk_pi_ring_apply, smul_zero, MultilinearMap.zero_apply]
@@ -1434,7 +1434,7 @@ theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (succ u3) (succ u1) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (OfNat.mk.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.zero.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.hasZero.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7))))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (OfNat.mk.{u2} M₂ 0 (Zero.zero.{u2} M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))
+  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18917 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iffₓ'. -/
 theorem mkPiRing_eq_zero_iff [Fintype ι] (z : M₂) : MultilinearMap.mkPiRing R ι z = 0 ↔ z = 0 := by
   rw [← mk_pi_ring_zero, mk_pi_ring_eq_iff]
@@ -1920,7 +1920,7 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}} (f : MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) (u : ι -> M') (v : ι' -> M'), Eq.{succ u3} M₂ (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ 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_inst_7 (MultilinearMap.currySum._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) => (ι -> M') -> (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7)) (MultilinearMap.hasCoeToFun.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySum._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.currySum.{u1, u2, u3, u4, u5} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι' f) u) v) (coeFn.{max (succ (max u4 u5)) (succ u2) (succ u3), max (max (succ (max u4 u5)) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) => ((Sum.{u4, u5} ι ι') -> M') -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) f (Sum.elim.{u4, u5, succ u2} ι ι' M' u v))
 but is expected to have type
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(CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.currySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι' f) u) v) (FunLike.coe.{max (max (max (succ u5) (succ u3)) (succ u4)) (succ u1), max (max (succ u5) (succ u3)) (succ u1), succ u4} (MultilinearMap.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24278 : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) ((Sum.{u5, u1} ι ι') -> M') (fun (f : (Sum.{u5, u1} ι ι') -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Sum.{u5, u1} ι ι') -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) f (Sum.elim.{u5, u1, succ u3} ι ι' M' u v))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₂ : Type.{u4}} {M' : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : AddCommMonoid.{u3} M'] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M' (CommSemiring.toSemiring.{u2} R _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] {ι' : Type.{u1}} (f : MultilinearMap.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) (u : ι -> M') (v : ι' -> M'), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι' -> M') => M₂) v) (FunLike.coe.{max (max (succ u3) (succ u4)) (succ u1), max (succ u3) (succ u1), succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> M') => MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24021 : ι') => 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(MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24021 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24021 : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) (ι -> M') (fun (f : ι -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> M') => MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24021 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, max (max u3 u4) u1, u5} R ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.currySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι' f) u) v) (FunLike.coe.{max (max (max (succ u5) (succ u3)) (succ u4)) (succ u1), max (max (succ u5) (succ u3)) (succ u1), succ u4} (MultilinearMap.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24248 : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) ((Sum.{u5, u1} ι ι') -> M') (fun (f : (Sum.{u5, u1} ι ι') -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Sum.{u5, u1} ι ι') -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) f (Sum.elim.{u5, u1, succ u3} ι ι' M' u v))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_sum_apply MultilinearMap.currySum_applyₓ'. -/
 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
@@ -1956,7 +1956,7 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
 lean 3 declaration is
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(CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) f (Function.comp.{succ u5, max (succ u5) (succ u1), succ u3} ι (Sum.{u5, u1} ι ι') M' u (Sum.inl.{u5, u1} ι ι'))) (Function.comp.{succ u1, max (succ u5) (succ u1), succ u3} ι' (Sum.{u5, u1} ι ι') M' u (Sum.inr.{u5, u1} ι ι')))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_applyₓ'. -/
 @[simp]
 theorem uncurrySum_aux_apply
@@ -1996,7 +1996,7 @@ variable {ι ι' R M₂ M'}
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}}, Eq.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} ((MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) -> (MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySumEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))) (coeFn.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3)), max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} (LinearEquiv.{u1, u1, max (max u4 u5) u2 u3, max u4 u2 u5 u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MultilinearMap.currySumEquiv._proof_1.{u1} R _inst_1) (MultilinearMap.currySumEquiv._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R 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 but is expected to have type
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(smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) 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M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))))) (MultilinearMap.currySumEquiv.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')) (MultilinearMap.currySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
@@ -2007,7 +2007,7 @@ theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}}, Eq.{max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3))} ((MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySumEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7)) (coeFn.{max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3)), max (succ (max u4 u2 u5 u2 u3)) (succ (max (max u4 u5) u2 u3))} (LinearEquiv.{u1, u1, max u4 u2 u5 u2 u3, max (max u4 u5) u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) 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 but is expected to have type
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(smulCommClass_self.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Module.toMulActionWithZero.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24815 : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.currySumEquiv.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι'))) (MultilinearMap.uncurrySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symmₓ'. -/
 @[simp]
 theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
@@ -2020,7 +2020,7 @@ variable (R M₂ M')
 lean 3 declaration is
   forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MultilinearMap.curryFinFinset._proof_1.{u1} R _inst_1) (MultilinearMap.curryFinFinset._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin n) (fun (x : Fin n) => M') M₂ (fun (i : Fin n) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_4.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.module.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.curryFinFinset._proof_5.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 l)))
 but is expected to have type
-  forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (x : Fin n) => M') M₂ (fun (i : Fin n) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Module.toMulActionWithZero.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))))
+  forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) 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(MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinsetₓ'. -/
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
@@ -2039,7 +2039,7 @@ variable {R M₂ M'}
 lean 3 declaration is
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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) mk) ml) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25434 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (fun (i : Fin n) => Sum.elim.{0, 0, succ u2} (Fin k) (Fin l) M' mk ml (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Fin n) => Sum.{0, 0} (Fin k) (Fin l)) _x) (Equiv.instFunLikeEquiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Equiv.symm.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl)) i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
@@ -2053,7 +2053,7 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2070,7 +2070,7 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2093,7 +2093,7 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2107,7 +2107,7 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
 lean 3 declaration is
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M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25255 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin 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R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) (fun (_x : Fin k) => x)) (fun (_x : Fin l) => y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.26360 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (Finset.piecewise.{0, succ u2} (Fin n) (fun (i : Fin n) => M') s (fun (_x : Fin n) => x) (fun (_x : Fin n) => y) (fun (j : Fin n) => Finset.decidableMem.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) j s)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b8ba04e2f326f3f7cf24ad129beda58531ada61

@@ -462,7 +462,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toHasAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin 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(y : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHAdd.{u3} ((fun 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(Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
@@ -476,7 +476,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (SMul.smul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toHasSmul.{u1, u2} R (M (Fin.last n)) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (M (Fin.last n)) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n)))))) c x))) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9)))) c (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 but is expected to have type
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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(Fin.last n)) (_inst_7 (Fin.last n))))))) c x))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HSMul.hSMul.{u1, u2, u2} R (M (Fin.last n)) (M (Fin.last n)) (instHSMul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toSMul.{u1, u2} R (M (Fin.last n)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M (Fin.last n)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n))))))) c x))) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_1 _inst_4 _inst_9))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -1734,7 +1734,7 @@ variable {R M M₂}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.uncurryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 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x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 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(x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 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 but is expected to have type
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n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 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(CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1791,7 +1791,7 @@ theorem MultilinearMap.uncurryRight_apply
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.curryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) 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x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat 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1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1831,7 +1831,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 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Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) 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 but is expected to have type
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(instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 (MultilinearMap.uncurryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f)) f
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
@@ -1857,7 +1857,7 @@ variable (R M M₂)
 lean 3 declaration is
   forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u2 u3, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (multilinearCurryRightEquiv._proof_1.{u1} R _inst_1) (multilinearCurryRightEquiv._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (multilinearCurryRightEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R 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 but is expected to have type
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(smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin (Nat.succ n)) M M₂ (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))
+  forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (OrderHomClass.toLatticeHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 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Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLinearOrderFin n) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.Hom.Lattice._hyg.494 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (InfHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Lattice.toInf.{0} (Fin n) (DistribLattice.toLattice.{0} (Fin n) (instDistribLattice.{0} (Fin n) (Fin.instLinearOrderFin n)))) (Lattice.toInf.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Fin.instLatticeFinHAddNatInstHAddInstAddNatOfNat n)) (LatticeHomClass.toInfHomClass.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) 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 Case conversion may be inaccurate. Consider using '#align multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the

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

@@ -127,7 +127,7 @@ theorem toFun_eq_coe : f.toFun = f :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : (forall (i : ι), M₁ i) -> M₂) (h₁ : forall [_inst_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i (HAdd.hAdd.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHAdd.{u2} (M₁ i) (AddZeroClass.toHasAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i x)) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i y)))) (h₂ : forall [_inst_1_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (c : R) (x : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i (SMul.smul.{u1, u2} R (M₁ i) (SMulZeroClass.toHasSmul.{u1, u2} R (M₁ i) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (M₁ i) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M₁ i) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (Module.toMulActionWithZero.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i))))) c x))) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9)))) c (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i x)))), Eq.{max (max (succ u4) (succ u2)) (succ u3)} ((forall (i : ι), M₁ i) -> M₂) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.mk.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 f h₁ h₂)) f
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : (forall (i : ι), M₁ i) -> M₂) (h₁ : forall [_inst_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i (HAdd.hAdd.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHAdd.{u2} (M₁ i) (AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i x)) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i y)))) (h₂ : forall [_inst_1_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (c : R) (x : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i (HSMul.hSMul.{u1, u2, u2} R (M₁ i) (M₁ i) (instHSMul.{u1, u2} R (M₁ i) (SMulZeroClass.toSMul.{u1, u2} R (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M₁ i) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M₁ i) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i)))))) c x))) (HSMul.hSMul.{u1, u3, u3} R M₂ M₂ (instHSMul.{u1, u3} R M₂ (SMulZeroClass.toSMul.{u1, u3} R M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M₂ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9))))) c (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i x)))), Eq.{max (max (succ u4) (succ u2)) (succ u3)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.mk.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 f h₁ h₂)) f
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : (forall (i : ι), M₁ i) -> M₂) (h₁ : forall [_inst_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i (HAdd.hAdd.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHAdd.{u2} (M₁ i) (AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i x)) (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1 a b) m i y)))) (h₂ : forall [_inst_1_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (c : R) (x : M₁ i), Eq.{succ u3} M₂ (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i (HSMul.hSMul.{u1, u2, u2} R (M₁ i) (M₁ i) (instHSMul.{u1, u2} R (M₁ i) (SMulZeroClass.toSMul.{u1, u2} R (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M₁ i) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M₁ i) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i)))))) c x))) (HSMul.hSMul.{u1, u3, u3} R M₂ M₂ (instHSMul.{u1, u3} R M₂ (SMulZeroClass.toSMul.{u1, u3} R M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M₂ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9))))) c (f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_1_1 a b) m i x)))), Eq.{max (max (succ u4) (succ u2)) (succ u3)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.mk.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 f h₁ h₂)) f
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_mk MultilinearMap.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
@@ -181,7 +181,7 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (h₁ : forall [_inst_1_1 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_coe MultilinearMap.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
@@ -194,7 +194,7 @@ theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (HAdd.hAdd.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHAdd.{u2} (M₁ i) (AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))) x y))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (HAdd.hAdd.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHAdd.{u2} (M₁ i) (AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i y)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) (instHAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) _inst_4)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i x)) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i y)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_add MultilinearMap.map_addₓ'. -/
 @[simp]
 protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
@@ -214,7 +214,7 @@ protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R)
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {m : forall (i : ι), M₁ i} (i : ι), (Eq.{succ u2} (M₁ i) (m i) (OfNat.ofNat.{u2} (M₁ i) 0 (OfNat.mk.{u2} (M₁ i) 0 (Zero.zero.{u2} (M₁ i) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))))) -> (Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f m) (OfNat.ofNat.{u3} M₂ 0 (OfNat.mk.{u3} M₂ 0 (Zero.zero.{u3} M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {m : forall (i : ι), M₁ i} (i : ι), (Eq.{succ u2} (M₁ i) (m i) (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f m) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_4)))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {m : forall (i : ι), M₁ i} (i : ι), (Eq.{succ u2} (M₁ i) (m i) (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) -> (Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f m) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_coord_zero MultilinearMap.map_coord_zeroₓ'. -/
 theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
   classical
@@ -226,7 +226,7 @@ theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := b
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (OfNat.mk.{u2} (M₁ i) 0 (Zero.zero.{u2} (M₁ i) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))))) (OfNat.ofNat.{u3} M₂ 0 (OfNat.mk.{u3} M₂ 0 (Zero.zero.{u3} M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) _inst_4))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (OfNat.ofNat.{u2} (M₁ i) 0 (Zero.toOfNat0.{u2} (M₁ i) (AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) _inst_4))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_update_zero MultilinearMap.map_update_zeroₓ'. -/
 @[simp]
 theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
@@ -237,7 +237,7 @@ theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (updat
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : Nonempty.{succ u4} ι], Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (OfNat.mk.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.zero.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))))) (OfNat.ofNat.{u3} M₂ 0 (OfNat.mk.{u3} M₂ 0 (Zero.zero.{u3} M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : Nonempty.{succ u4} ι], Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) _inst_4))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : Nonempty.{succ u4} ι], Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (OfNat.ofNat.{max u4 u2} (forall (i : ι), M₁ i) 0 (Zero.toOfNat0.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instZero.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddMonoid.toZero.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i))))))) _inst_4))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_zero MultilinearMap.map_zeroₓ'. -/
 @[simp]
 theorem map_zero [Nonempty ι] : f 0 = 0 :=
@@ -255,7 +255,7 @@ instance : Add (MultilinearMap R M₁ M₂) :=
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (f' : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (HAdd.hAdd.{max (max u4 u2) u3, max (max u4 u2) u3, max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (instHAdd.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.instAddMultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9)) f f') m) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (instHAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddZeroClass.toAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f' m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.add_apply MultilinearMap.add_applyₓ'. -/
 @[simp]
 theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
@@ -272,7 +272,7 @@ instance : Inhabited (MultilinearMap R M₁ M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (OfNat.ofNat.{max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) 0 (OfNat.mk.{max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) 0 (Zero.zero.{max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.hasZero.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9)))) m) (OfNat.ofNat.{u3} M₂ 0 (OfNat.mk.{u3} M₂ 0 (Zero.zero.{u3} M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (OfNat.ofNat.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) 0 (Zero.toOfNat0.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9))) m) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_4))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (OfNat.ofNat.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) 0 (Zero.toOfNat0.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9))) m) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.zero_apply MultilinearMap.zero_applyₓ'. -/
 @[simp]
 theorem zero_apply (m : ∀ i, M₁ i) : (0 : MultilinearMap R M₁ M₂) m = 0 :=
@@ -293,7 +293,7 @@ instance : SMul R' (MultilinearMap A M₁ M₂) :=
 lean 3 declaration is
   forall {ι : Type.{u3}} {M₁ : ι -> Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : forall (i : ι), AddCommMonoid.{u1} (M₁ i)] [_inst_4 : AddCommMonoid.{u2} M₂] {R' : Type.{u4}} {A : Type.{u5}} [_inst_12 : Monoid.{u4} R'] [_inst_13 : Semiring.{u5} A] [_inst_14 : forall (i : ι), Module.{u5, u1} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)] [_inst_16 : Module.{u5, u2} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u5, u4, u2} A R' M₂ (SMulZeroClass.toHasSmul.{u5, u2} A M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u5, u2} A M₂ (MulZeroClass.toHasZero.{u5} A (MulZeroOneClass.toMulZeroClass.{u5} A (MonoidWithZero.toMulZeroOneClass.{u5} A (Semiring.toMonoidWithZero.{u5} A _inst_13)))) (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u5, u2} A M₂ (Semiring.toMonoidWithZero.{u5} A _inst_13) (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (Module.toMulActionWithZero.{u5, u2} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toHasSmul.{u4, u2} R' M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (DistribSMul.toSmulZeroClass.{u4, u2} R' M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4) _inst_15)))] (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (c : R') (m : forall (i : ι), M₁ i), Eq.{succ u2} M₂ (coeFn.{max (succ u3) (succ u1) (succ u2), max (max (succ u3) (succ u1)) (succ u2)} (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (fun (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (SMul.smul.{u4, max u3 u1 u2} R' (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.hasSmul.{u1, u2, u3, u4, u5} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17) c f) m) (SMul.smul.{u4, u2} R' M₂ (SMulZeroClass.toHasSmul.{u4, u2} R' M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (DistribSMul.toSmulZeroClass.{u4, u2} R' M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4) _inst_15))) c (coeFn.{max (succ u3) (succ u1) (succ u2), max (max (succ u3) (succ u1)) (succ u2)} (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (fun (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f m))
 but is expected to have type
-  forall {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] {R' : Type.{u1}} {A : Type.{u2}} [_inst_12 : Monoid.{u1} R'] [_inst_13 : Semiring.{u2} A] [_inst_14 : forall (i : ι), Module.{u2, u3} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)] [_inst_16 : Module.{u2, u4} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u2, u1, u4} A R' M₂ (SMulZeroClass.toSMul.{u2, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M₂ (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M₂ (Semiring.toMonoidWithZero.{u2} A _inst_13) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toSMul.{u1, u4} R' M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4) _inst_15)))] (f : MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (c : R') (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (instHSMul.{u1, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.instSMulMultilinearMap.{u3, u4, u5, u1, u2} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17)) c f) m) (HSMul.hSMul.{u1, u4, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (instHSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (SMulZeroClass.toSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_12 (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_4) _inst_15)))) c (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f m))
+  forall {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] {R' : Type.{u1}} {A : Type.{u2}} [_inst_12 : Monoid.{u1} R'] [_inst_13 : Semiring.{u2} A] [_inst_14 : forall (i : ι), Module.{u2, u3} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)] [_inst_16 : Module.{u2, u4} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u2, u1, u4} A R' M₂ (SMulZeroClass.toSMul.{u2, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M₂ (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M₂ (Semiring.toMonoidWithZero.{u2} A _inst_13) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toSMul.{u1, u4} R' M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4) _inst_15)))] (f : MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (c : R') (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (instHSMul.{u1, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.instSMulMultilinearMap.{u3, u4, u5, u1, u2} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17)) c f) m) (HSMul.hSMul.{u1, u4, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (instHSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (SMulZeroClass.toSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_12 (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_4) _inst_15)))) c (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.smul_apply MultilinearMap.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
@@ -304,7 +304,7 @@ theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i)
 lean 3 declaration is
   forall {ι : Type.{u3}} {M₁ : ι -> Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : forall (i : ι), AddCommMonoid.{u1} (M₁ i)] [_inst_4 : AddCommMonoid.{u2} M₂] {R' : Type.{u4}} {A : Type.{u5}} [_inst_12 : Monoid.{u4} R'] [_inst_13 : Semiring.{u5} A] [_inst_14 : forall (i : ι), Module.{u5, u1} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)] [_inst_16 : Module.{u5, u2} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u5, u4, u2} A R' M₂ (SMulZeroClass.toHasSmul.{u5, u2} A M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u5, u2} A M₂ (MulZeroClass.toHasZero.{u5} A (MulZeroOneClass.toMulZeroClass.{u5} A (MonoidWithZero.toMulZeroOneClass.{u5} A (Semiring.toMonoidWithZero.{u5} A _inst_13)))) (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u5, u2} A M₂ (Semiring.toMonoidWithZero.{u5} A _inst_13) (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (Module.toMulActionWithZero.{u5, u2} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toHasSmul.{u4, u2} R' M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (DistribSMul.toSmulZeroClass.{u4, u2} R' M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4) _inst_15)))] (c : R') (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16), Eq.{succ (max (max u3 u1) u2)} ((forall (i : ι), M₁ i) -> M₂) (coeFn.{succ (max u3 u1 u2), succ (max (max u3 u1) u2)} (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (fun (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (SMul.smul.{u4, max u3 u1 u2} R' (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.hasSmul.{u1, u2, u3, u4, u5} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17) c f)) (SMul.smul.{u4, max (max u3 u1) u2} R' ((forall (i : ι), M₁ i) -> M₂) (Function.hasSMul.{max u3 u1, u4, u2} (forall (i : ι), M₁ i) R' M₂ (SMulZeroClass.toHasSmul.{u4, u2} R' M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))) (DistribSMul.toSmulZeroClass.{u4, u2} R' M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u4, u2} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4) _inst_15)))) c (coeFn.{max (succ u3) (succ u1) (succ u2), max (max (succ u3) (succ u1)) (succ u2)} (MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (fun (f : MultilinearMap.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u5, u1, u2, u3} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f))
 but is expected to have type
-  forall {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] {R' : Type.{u1}} {A : Type.{u2}} [_inst_12 : Monoid.{u1} R'] [_inst_13 : Semiring.{u2} A] [_inst_14 : forall (i : ι), Module.{u2, u3} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)] [_inst_16 : Module.{u2, u4} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u2, u1, u4} A R' M₂ (SMulZeroClass.toSMul.{u2, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M₂ (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M₂ (Semiring.toMonoidWithZero.{u2} A _inst_13) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toSMul.{u1, u4} R' M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4) _inst_15)))] (c : R') (f : MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16), Eq.{max (max (succ u5) (succ u3)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (instHSMul.{u1, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.instSMulMultilinearMap.{u3, u4, u5, u1, u2} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17)) c f)) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (forall (a : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) a) (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) ᾰ) (instHSMul.{u1, max (max u5 u3) u4} R' (forall (a : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) a) (Pi.instSMul.{max u5 u3, u4, u1} (forall (i : ι), M₁ i) R' (fun (a : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) a) (fun (i : forall (i : ι), M₁ i) => SMulZeroClass.toSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) _inst_12 (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) i) _inst_4) _inst_15))))) c (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f))
+  forall {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] {R' : Type.{u1}} {A : Type.{u2}} [_inst_12 : Monoid.{u1} R'] [_inst_13 : Semiring.{u2} A] [_inst_14 : forall (i : ι), Module.{u2, u3} A (M₁ i) _inst_13 (_inst_3 i)] [_inst_15 : DistribMulAction.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)] [_inst_16 : Module.{u2, u4} A M₂ _inst_13 _inst_4] [_inst_17 : SMulCommClass.{u2, u1, u4} A R' M₂ (SMulZeroClass.toSMul.{u2, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} A M₂ (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} A M₂ (Semiring.toMonoidWithZero.{u2} A _inst_13) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} A M₂ _inst_13 _inst_4 _inst_16)))) (SMulZeroClass.toSMul.{u1, u4} R' M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' M₂ _inst_12 (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4) _inst_15)))] (c : R') (f : MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16), Eq.{max (max (succ u5) (succ u3)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (instHSMul.{u1, max (max u5 u3) u4} R' (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (MultilinearMap.instSMulMultilinearMap.{u3, u4, u5, u1, u2} ι M₁ M₂ (fun (i : ι) => _inst_3 i) _inst_4 R' A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 _inst_16 _inst_17)) c f)) (HSMul.hSMul.{u1, max (max u5 u3) u4, max (max u5 u3) u4} R' (forall (a : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) a) (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) ᾰ) (instHSMul.{u1, max (max u5 u3) u4} R' (forall (a : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) a) (Pi.instSMul.{max u5 u3, u4, u1} (forall (i : ι), M₁ i) R' (fun (a : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) a) (fun (i : forall (i : ι), M₁ i) => SMulZeroClass.toSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) (AddMonoid.toAddZeroClass.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) _inst_4)) (DistribMulAction.toDistribSMul.{u1, u4} R' ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) _inst_12 (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) i) _inst_4) _inst_15))))) c (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} A ι M₁ M₂ _inst_13 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_16) f))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_smul MultilinearMap.coe_smulₓ'. -/
 theorem coe_smul (c : R') (f : MultilinearMap A M₁ M₂) : ⇑(c • f) = c • f :=
   rfl
@@ -319,7 +319,7 @@ instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {α : Type.{u5}} (f : α -> (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9)) (m : forall (i : ι), M₁ i) {s : Finset.{u5} α}, Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (Finset.sum.{max u4 u2 u3, u5} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) α (MultilinearMap.addCommMonoid.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) s (fun (a : α) => f a)) m) (Finset.sum.{u3, u5} M₂ α _inst_4 s (fun (a : α) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (f a) m))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {α : Type.{u1}} (f : α -> (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9)) (m : forall (i : ι), M₁ i) {s : Finset.{u1} α}, Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (Finset.sum.{max (max u5 u3) u4, u1} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) α (MultilinearMap.addCommMonoid.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) s (fun (a : α) => f a)) m) (Finset.sum.{u4, u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) α _inst_4 s (fun (a : α) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (f a) m))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {α : Type.{u1}} (f : α -> (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9)) (m : forall (i : ι), M₁ i) {s : Finset.{u1} α}, Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (Finset.sum.{max (max u5 u3) u4, u1} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) α (MultilinearMap.addCommMonoid.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) s (fun (a : α) => f a)) m) (Finset.sum.{u4, u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) α _inst_4 s (fun (a : α) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (f a) m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.sum_apply MultilinearMap.sum_applyₓ'. -/
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -434,7 +434,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (Fin.succ n i)) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (y : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} 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 but is expected to have type
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(Nat.succ n) 0 (NeZero.succ n)))) (AddMonoid.toAddZeroClass.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (AddCommMonoid.toAddMonoid.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))))))) x y) m)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) y m)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (instHAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall 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(Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) y m)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (Fin.succ n i)) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (y : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) (HAdd.hAdd.{u2, u2, u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 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(fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) (HAdd.hAdd.{u2, u2, u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (instHAdd.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (AddZeroClass.toAdd.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (AddMonoid.toAddZeroClass.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (AddCommMonoid.toAddMonoid.{u2} (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (_inst_2 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))))))) x y) m)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) y m)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (instHAdd.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall 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(fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) y m)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_add MultilinearMap.cons_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the additivity of a
@@ -448,7 +448,7 @@ theorem cons_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (x
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (Fin.succ n i)) (c : R) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f 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 but is expected to have type
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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (Fin.succ n i)) (c : R) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) (HSMul.hSMul.{u1, u2, u2} R (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (M (OfNat.ofNat.{0} (Fin 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(OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))))))) c x) m)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) (HSMul.hSMul.{u1, u2, u2} R (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) 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c x) m)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) _inst_4)) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)) _inst_1 _inst_4 _inst_9))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.cons.{u2} n (fun (i : Fin (Nat.succ n)) => M i) x m)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_smul MultilinearMap.cons_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -462,7 +462,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toHasAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ 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(x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n 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_inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin 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(x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
@@ -476,7 +476,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (SMul.smul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toHasSmul.{u1, u2} R (M (Fin.last n)) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (M (Fin.last n)) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n)))))) c x))) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9)))) c (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HSMul.hSMul.{u1, u2, u2} R (M (Fin.last n)) (M (Fin.last n)) (instHSMul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toSMul.{u1, u2} R (M (Fin.last n)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M (Fin.last n)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) 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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HSMul.hSMul.{u1, u2, u2} R (M (Fin.last n)) (M (Fin.last n)) (instHSMul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toSMul.{u1, u2} R (M (Fin.last n)) (AddMonoid.toZero.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))) (SMulWithZero.toSMulZeroClass.{u1, u2} R (M (Fin.last n)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) 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u3, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun 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(Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)) (Module.toMulActionWithZero.{u1, u3} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_1 _inst_4 _inst_9))))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -516,7 +516,7 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u5}} [_inst_12 : forall (i : ι), AddCommMonoid.{u5} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u1, u5} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_3 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_8 i) i) _inst_9) (MultilinearMap.compLinearMap.{u1, u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (coeFn.{max (succ u4) (succ u5) (succ u3), max (max (succ u4) (succ u5)) (succ u3)} (MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (fun (f : MultilinearMap.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) => (forall (i : ι), M₁' i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u5, u3, u4} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => coeFn.{max (succ u2) (succ u5), max (succ u2) (succ u5)} (LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (fun (_x : LinearMap.{u1, u1, u2, u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) => (M₁ i) -> (M₁' i)) (LinearMap.hasCoeToFun.{u1, u1, u2, u5} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (f i) (m i)))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {M₁' : ι -> Type.{u1}} [_inst_12 : forall (i : ι), AddCommMonoid.{u1} (M₁' i)] [_inst_13 : forall (i : ι), Module.{u2, u1} R (M₁' i) _inst_1 (_inst_12 i)] (g : MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (f : forall (i : ι), LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.compLinearMap.{u2, u3, u4, u5, u1} R ι (fun (i : ι) => M₁ i) M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 M₁' (fun (i : ι) => _inst_12 i) (fun (i : ι) => _inst_13 i) g f) m) (FunLike.coe.{max (max (succ u5) (succ u4)) (succ u1), max (succ u5) (succ u1), succ u4} (MultilinearMap.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) (forall (i : ι), M₁' i) (fun (f : forall (i : ι), M₁' i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁' i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u4, u5} R ι M₁' M₂ _inst_1 (fun (i : ι) => _inst_12 i) _inst_4 (fun (i : ι) => _inst_13 i) _inst_9) g (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u2, u2, u3, u1} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (M₁ i) (M₁' i) (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i)) (M₁ i) (fun (_x : M₁ i) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁ i) => M₁' i) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, u1} R R (M₁ i) (M₁' i) _inst_1 _inst_1 (_inst_3 i) (_inst_12 i) (_inst_8 i) (_inst_13 i) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (f i) (m i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_applyₓ'. -/
 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
@@ -610,7 +610,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i) (t : Finset.{u4} ι), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) t (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toHasAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m') m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j t))) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.powerset.{u4} ι t) (fun (s : Finset.{u4} ι) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i) (t : Finset.{u4} ι), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) t (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m') m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j t))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) t (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m') m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j t))) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.powerset.{u4} ι t) (fun (s : Finset.{u4} ι) => FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i) (t : Finset.{u4} ι), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) t (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m') m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j t))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) t (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m') m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j t))) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.powerset.{u4} ι t) (fun (s : Finset.{u4} ι) => FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_addₓ'. -/
 /-- If one adds to a vector `m'` another vector `m`, but only for coordinates in a finset `t`, then
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
@@ -657,7 +657,7 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toHasAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m')) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.univ.{u4} (Finset.{u4} ι) (Finset.fintype.{u4} ι _inst_13)) (fun (s : Finset.{u4} ι) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m')) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m')) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.univ.{u4} (Finset.{u4} ι) (Finset.fintype.{u4} ι _inst_13)) (fun (s : Finset.{u4} ι) => FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι] (m : forall (i : ι), M₁ i) (m' : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m')) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (HAdd.hAdd.{max u4 u2, max u4 u2, max u4 u2} (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (forall (i : ι), M₁ i) (instHAdd.{max u4 u2} (forall (i : ι), M₁ i) (Pi.instAdd.{u4, u2} ι (fun (i : ι) => M₁ i) (fun (i : ι) => AddZeroClass.toAdd.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))))) m m')) (Finset.sum.{u3, u4} M₂ (Finset.{u4} ι) _inst_4 (Finset.univ.{u4} (Finset.{u4} ι) (Finset.fintype.{u4} ι _inst_13)) (fun (s : Finset.{u4} ι) => FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Finset.piecewise.{u4, succ u2} ι (fun (i : ι) => M₁ i) s m m' (fun (j : ι) => Finset.decidableMem.{u4} ι (fun (a : ι) (b : ι) => _inst_12 a b) j s))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_add_univ MultilinearMap.map_add_univₓ'. -/
 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
@@ -676,7 +676,7 @@ open Fintype Finset
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u5}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u5} (α i)) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι] {n : Nat}, (Eq.{1} Nat (Finset.sum.{0, u4} Nat ι Nat.addCommMonoid (Finset.univ.{u4} ι _inst_13) (fun (i : ι) => Finset.card.{u5} (α i) (A i))) n) -> (Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u2, u5} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u3, max u4 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u4, u5} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i)))))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u1} (α i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι] {n : Nat}, (Eq.{1} Nat (Finset.sum.{0, u5} Nat ι Nat.addCommMonoid (Finset.univ.{u5} ι _inst_13) (fun (i : ι) => Finset.card.{u1} (α i) (A i))) n) -> (Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u1 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u5, u1} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i)))))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u1} (α i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι] {n : Nat}, (Eq.{1} Nat (Finset.sum.{0, u5} Nat ι Nat.addCommMonoid (Finset.univ.{u5} ι _inst_13) (fun (i : ι) => Finset.card.{u1} (α i) (A i))) n) -> (Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u1 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u5, u1} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sum_finset_aux MultilinearMap.map_sum_finset_auxₓ'. -/
 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
@@ -842,7 +842,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u5}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u5} (α i)) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι], Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u2, u5} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u3, max u4 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u4, u5} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u1} (α i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι], Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u1 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u5, u1} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) (A : forall (i : ι), Finset.{u1} (α i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι], Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (A i) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u1 u5} M₂ (forall (a : ι), α a) _inst_4 (Fintype.piFinset.{u5, u1} ι (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (i : ι) => α i) A) (fun (r : forall (a : ι), α a) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sum_finset MultilinearMap.map_sum_finsetₓ'. -/
 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
@@ -857,7 +857,7 @@ theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u5}} (g : forall (i : ι), (α i) -> (M₁ i)) [_inst_12 : DecidableEq.{succ u4} ι] [_inst_13 : Fintype.{u4} ι] [_inst_14 : forall (i : ι), Fintype.{u5} (α i)], Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u2, u5} (M₁ i) (α i) (_inst_3 i) (Finset.univ.{u5} (α i) (_inst_14 i)) (fun (j : α i) => g i j))) (Finset.sum.{u3, max u4 u5} M₂ (forall (i : ι), α i) _inst_4 (Finset.univ.{max u4 u5} (forall (i : ι), α i) (Pi.fintype.{u4, u5} ι (fun (i : ι) => α i) (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (a : ι) => _inst_14 a))) (fun (r : forall (i : ι), α i) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι] [_inst_14 : forall (i : ι), Fintype.{u1} (α i)], Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (Finset.univ.{u1} (α i) (_inst_14 i)) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (Finset.univ.{u1} (α i) (_inst_14 i)) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u5 u1} M₂ (forall (i : ι), α i) _inst_4 (Finset.univ.{max u5 u1} (forall (i : ι), α i) (Pi.fintype.{u5, u1} ι (fun (i : ι) => α i) (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (a : ι) => _inst_14 a))) (fun (r : forall (i : ι), α i) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : ι -> Type.{u1}} (g : forall (i : ι), (α i) -> (M₁ i)) [_inst_12 : DecidableEq.{succ u5} ι] [_inst_13 : Fintype.{u5} ι] [_inst_14 : forall (i : ι), Fintype.{u1} (α i)], Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (Finset.univ.{u1} (α i) (_inst_14 i)) (fun (j : α i) => g i j))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => Finset.sum.{u3, u1} (M₁ i) (α i) (_inst_3 i) (Finset.univ.{u1} (α i) (_inst_14 i)) (fun (j : α i) => g i j))) (Finset.sum.{u4, max u5 u1} M₂ (forall (i : ι), α i) _inst_4 (Finset.univ.{max u5 u1} (forall (i : ι), α i) (Pi.fintype.{u5, u1} ι (fun (i : ι) => α i) (fun (a : ι) (b : ι) => _inst_12 a b) _inst_13 (fun (a : ι) => _inst_14 a))) (fun (r : forall (i : ι), α i) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (fun (i : ι) => g i (r i))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sum MultilinearMap.map_sumₓ'. -/
 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
@@ -871,7 +871,7 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : Type.{u5}} [_inst_12 : DecidableEq.{succ u4} ι] (t : Finset.{u5} α) (i : ι) (g : α -> (M₁ i)) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (Finset.sum.{u2, u5} (M₁ i) α (_inst_3 i) t (fun (a : α) => g a)))) (Finset.sum.{u3, u5} M₂ α _inst_4 t (fun (a : α) => coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (g a))))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : Type.{u1}} [_inst_12 : DecidableEq.{succ u5} ι] (t : Finset.{u1} α) (i : ι) (g : α -> (M₁ i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (Finset.sum.{u3, u1} (M₁ i) α (_inst_3 i) t (fun (a : α) => g a)))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (Finset.sum.{u3, u1} (M₁ i) α (_inst_3 i) t (fun (a : α) => g a)))) (Finset.sum.{u4, u1} M₂ α _inst_4 t (fun (a : α) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (g a))))
+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) {α : Type.{u1}} [_inst_12 : DecidableEq.{succ u5} ι] (t : Finset.{u1} α) (i : ι) (g : α -> (M₁ i)) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (Finset.sum.{u3, u1} (M₁ i) α (_inst_3 i) t (fun (a : α) => g a)))) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (Finset.sum.{u3, u1} (M₁ i) α (_inst_3 i) t (fun (a : α) => g a)))) (Finset.sum.{u4, u1} M₂ α _inst_4 t (fun (a : α) => FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) f (Function.update.{succ u5, succ u3} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_12 a b) m i (g a))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_update_sum MultilinearMap.map_update_sumₓ'. -/
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
@@ -916,7 +916,7 @@ def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M
 lean 3 declaration is
   forall (R : Type.{u1}) {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_8 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] {A : Type.{u5}} [_inst_12 : Semiring.{u5} A] [_inst_13 : SMul.{u1, u5} R A] [_inst_14 : forall (i : ι), Module.{u5, u2} A (M₁ i) _inst_12 (_inst_3 i)] [_inst_15 : Module.{u5, u3} A M₂ _inst_12 _inst_4] [_inst_16 : forall (i : ι), IsScalarTower.{u1, u5, u2} R A (M₁ i) _inst_13 (SMulZeroClass.toHasSmul.{u5, u2} A (M₁ i) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (SMulWithZero.toSmulZeroClass.{u5, u2} A (M₁ i) (MulZeroClass.toHasZero.{u5} A (MulZeroOneClass.toMulZeroClass.{u5} A (MonoidWithZero.toMulZeroOneClass.{u5} A (Semiring.toMonoidWithZero.{u5} A _inst_12)))) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (MulActionWithZero.toSMulWithZero.{u5, u2} A (M₁ i) (Semiring.toMonoidWithZero.{u5} A _inst_12) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (Module.toMulActionWithZero.{u5, u2} A (M₁ i) _inst_12 (_inst_3 i) (_inst_14 i))))) (SMulZeroClass.toHasSmul.{u1, u2} R (M₁ i) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (M₁ i) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M₁ i) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} (M₁ i) (AddMonoid.toAddZeroClass.{u2} (M₁ i) (AddCommMonoid.toAddMonoid.{u2} (M₁ i) (_inst_3 i)))) (Module.toMulActionWithZero.{u1, u2} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i)))))] [_inst_17 : IsScalarTower.{u1, u5, u3} R A M₂ _inst_13 (SMulZeroClass.toHasSmul.{u5, u3} A M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u5, u3} A M₂ (MulZeroClass.toHasZero.{u5} A (MulZeroOneClass.toMulZeroClass.{u5} A (MonoidWithZero.toMulZeroOneClass.{u5} A (Semiring.toMonoidWithZero.{u5} A _inst_12)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u5, u3} A M₂ (Semiring.toMonoidWithZero.{u5} A _inst_12) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u5, u3} A M₂ _inst_12 _inst_4 _inst_15)))) (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9))))] (f : MultilinearMap.{u5, u2, u3, u4} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15), Eq.{max (max (succ u4) (succ u2)) (succ u3)} ((forall (i : ι), M₁ i) -> M₂) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.restrictScalars.{u1, u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 (fun (i : ι) => _inst_16 i) _inst_17 f)) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u5, u2, u3, u4} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) (fun (f : MultilinearMap.{u5, u2, u3, u4} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u5, u2, u3, u4} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) f)
 but is expected to have type
-  forall (R : Type.{u2}) {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {A : Type.{u1}} [_inst_12 : Semiring.{u1} A] [_inst_13 : SMul.{u2, u1} R A] [_inst_14 : forall (i : ι), Module.{u1, u3} A (M₁ i) _inst_12 (_inst_3 i)] [_inst_15 : Module.{u1, u4} A M₂ _inst_12 _inst_4] [_inst_16 : forall (i : ι), IsScalarTower.{u2, u1, u3} R A (M₁ i) _inst_13 (SMulZeroClass.toSMul.{u1, u3} A (M₁ i) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u1, u3} A (M₁ i) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_12)) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u1, u3} A (M₁ i) (Semiring.toMonoidWithZero.{u1} A _inst_12) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u1, u3} A (M₁ i) _inst_12 (_inst_3 i) (_inst_14 i))))) (SMulZeroClass.toSMul.{u2, u3} R (M₁ i) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u2, u3} R (M₁ i) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u2, u3} R (M₁ i) (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i)))))] [_inst_17 : IsScalarTower.{u2, u1, u4} R A M₂ _inst_13 (SMulZeroClass.toSMul.{u1, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u4} A M₂ (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_12)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u4} A M₂ (Semiring.toMonoidWithZero.{u1} A _inst_12) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u4} A M₂ _inst_12 _inst_4 _inst_15)))) (SMulZeroClass.toSMul.{u2, u4} R M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} R M₂ (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ _inst_1 _inst_4 _inst_9))))] (f : MultilinearMap.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15), Eq.{max (max (succ u5) (succ u3)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.restrictScalars.{u2, u3, u4, u5, u1} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 (fun (i : ι) => _inst_16 i) _inst_17 f)) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) f)
+  forall (R : Type.{u2}) {ι : Type.{u5}} {M₁ : ι -> Type.{u3}} {M₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R] [_inst_3 : forall (i : ι), AddCommMonoid.{u3} (M₁ i)] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_8 : forall (i : ι), Module.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i)] [_inst_9 : Module.{u2, u4} R M₂ _inst_1 _inst_4] {A : Type.{u1}} [_inst_12 : Semiring.{u1} A] [_inst_13 : SMul.{u2, u1} R A] [_inst_14 : forall (i : ι), Module.{u1, u3} A (M₁ i) _inst_12 (_inst_3 i)] [_inst_15 : Module.{u1, u4} A M₂ _inst_12 _inst_4] [_inst_16 : forall (i : ι), IsScalarTower.{u2, u1, u3} R A (M₁ i) _inst_13 (SMulZeroClass.toSMul.{u1, u3} A (M₁ i) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u1, u3} A (M₁ i) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_12)) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u1, u3} A (M₁ i) (Semiring.toMonoidWithZero.{u1} A _inst_12) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u1, u3} A (M₁ i) _inst_12 (_inst_3 i) (_inst_14 i))))) (SMulZeroClass.toSMul.{u2, u3} R (M₁ i) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (SMulWithZero.toSMulZeroClass.{u2, u3} R (M₁ i) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (MulActionWithZero.toSMulWithZero.{u2, u3} R (M₁ i) (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u3} (M₁ i) (AddCommMonoid.toAddMonoid.{u3} (M₁ i) (_inst_3 i))) (Module.toMulActionWithZero.{u2, u3} R (M₁ i) _inst_1 (_inst_3 i) (_inst_8 i)))))] [_inst_17 : IsScalarTower.{u2, u1, u4} R A M₂ _inst_13 (SMulZeroClass.toSMul.{u1, u4} A M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u4} A M₂ (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_12)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u4} A M₂ (Semiring.toMonoidWithZero.{u1} A _inst_12) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u4} A M₂ _inst_12 _inst_4 _inst_15)))) (SMulZeroClass.toSMul.{u2, u4} R M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u4} R M₂ (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R _inst_1) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ _inst_1 _inst_4 _inst_9))))] (f : MultilinearMap.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15), Eq.{max (max (succ u5) (succ u3)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9) (MultilinearMap.restrictScalars.{u2, u3, u4, u5, u1} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_8 i) _inst_9 A _inst_12 _inst_13 (fun (i : ι) => _inst_14 i) _inst_15 (fun (i : ι) => _inst_16 i) _inst_17 f)) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), max (succ u5) (succ u3), succ u4} (MultilinearMap.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u3, u4, u5} A ι M₁ M₂ _inst_12 (fun (i : ι) => _inst_3 i) _inst_4 (fun (i : ι) => _inst_14 i) _inst_15) f)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_restrict_scalars MultilinearMap.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (f : MultilinearMap A M₁ M₂) : ⇑(f.restrictScalars R) = f :=
@@ -1041,7 +1041,7 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} ((forall (i : ι), M₁ i) -> M₃) (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (forall (ᾰ : forall (i : ι), M₁ i), (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) ᾰ) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f)) (Function.comp.{max (succ u5) (succ u2), succ u3, succ u4} (forall (i : ι), M₁ i) M₂ M₃ (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMapₓ'. -/
 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
@@ -1053,7 +1053,7 @@ theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} M₃ (coeFn.{max (succ u5) (succ u2) (succ u4), max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (fun (f : MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) => (forall (i : ι), M₁ i) -> M₃) (MultilinearMap.hasCoeToFun.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => (fun (i : ι) => _inst_2 i) i) _inst_4 (fun (i : ι) => (fun (i : ι) => _inst_6 i) i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (m : forall (i : ι), M₁ i), Eq.{succ u4} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) m) (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u4), max (succ u5) (succ u2), succ u4} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₃) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f m))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_applyₓ'. -/
 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
@@ -1074,7 +1074,7 @@ theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂)
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.Mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.hasMem.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) => M₂ -> M₃) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (succ u5) (succ u2) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (coeSort.{succ u4, succ (succ u4)} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) Type.{u4} (SetLike.hasCoeToSort.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) p) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (coeFn.{max (succ u5) (succ u2) (succ u3), max (max (succ u5) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (fun (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
+  forall {R : Type.{u1}} {ι : Type.{u5}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} {M₃ : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommMonoid.{u3} M₂] [_inst_4 : AddCommMonoid.{u4} M₃] [_inst_6 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ _inst_1 _inst_3] [_inst_8 : Module.{u1, u4} R M₃ _inst_1 _inst_4] (g : LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) (f : MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (p : Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (h : forall (c : M₂), Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) c) (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ M₃ _inst_3 _inst_4 _inst_7 _inst_8) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => M₃) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) g c) p), Eq.{max (max (succ u5) (succ u2)) (succ u4)} (MultilinearMap.{u1, u2, u4, u5} R ι M₁ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p)) (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ (Subtype.{succ u4} M₃ (fun (x : M₃) => Membership.mem.{u4, u4} M₃ (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) (SetLike.instMembership.{u4, u4} (Submodule.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8) M₃ (Submodule.setLike.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8)) x p)) _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (Submodule.addCommMonoid.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (fun (i : ι) => _inst_6 i) _inst_7 (Submodule.module.{u1, u4} R M₃ _inst_1 _inst_4 _inst_8 p) (LinearMap.codRestrict.{u1, u1, u3, u4} R R M₂ M₃ _inst_1 _inst_1 _inst_3 _inst_4 _inst_7 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) p g h) f) (MultilinearMap.codRestrict.{u1, u2, u4, u5} R ι M₁ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_4 (fun (i : ι) => _inst_6 i) _inst_8 (LinearMap.compMultilinearMap.{u1, u2, u3, u4, u5} R ι M₁ M₂ M₃ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 (fun (i : ι) => _inst_6 i) _inst_7 _inst_8 g f) p (fun (v : forall (i : ι), M₁ i) => h (FunLike.coe.{max (max (succ u5) (succ u2)) (succ u3), max (succ u5) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u5} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_6 i) _inst_7) f v)))
 Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrictₓ'. -/
 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
@@ -1294,7 +1294,7 @@ variable {R A ι}
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u3}} [_inst_8 : CommSemiring.{u3} A] [_inst_9 : Algebra.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8)] [_inst_10 : Fintype.{u2} ι] (m : ι -> A), Eq.{succ u3} A (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) (fun (f : MultilinearMap.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) => (ι -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u3, u3, u2} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9) (Algebra.toModule.{u1, u3} R A _inst_1 (CommSemiring.toSemiring.{u3} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u1, u2, u3} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u3, u2} A ι (CommSemiring.toCommMonoid.{u3} A _inst_8) (Finset.univ.{u2} ι _inst_10) (fun (i : ι) => m i))
 but is expected to have type
-  forall {R : Type.{u2}} {ι : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8)] [_inst_10 : Fintype.{u3} ι] (m : ι -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : ι -> A) => A) m) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u1} (MultilinearMap.{u2, u1, u1, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (ι -> A) (fun (f : ι -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : ι -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, u3} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17617 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u2, u3, u1} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u1, u3} A ι (CommSemiring.toCommMonoid.{u1} A _inst_8) (Finset.univ.{u3} ι _inst_10) (fun (i : ι) => m i))
+  forall {R : Type.{u2}} {ι : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : CommSemiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8)] [_inst_10 : Fintype.{u3} ι] (m : ι -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) m) (FunLike.coe.{max (succ u3) (succ u1), max (succ u3) (succ u1), succ u1} (MultilinearMap.{u2, u1, u1, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (ι -> A) (fun (f : ι -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, u3} R ι (fun (i : ι) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A _inst_8)))) (fun (i : ι) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_1 (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.17604 : ι) => A) i) _inst_8) _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 (CommSemiring.toSemiring.{u1} A _inst_8) _inst_9)) (MultilinearMap.mkPiAlgebra.{u2, u3, u1} R ι _inst_1 A _inst_8 _inst_9 _inst_10) m) (Finset.prod.{u1, u3} A ι (CommSemiring.toCommMonoid.{u1} A _inst_8) (Finset.univ.{u3} ι _inst_10) (fun (i : ι) => m i))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_apply MultilinearMap.mkPiAlgebra_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebra_apply (m : ι → A) : MultilinearMap.mkPiAlgebra R ι A m = ∏ i, m i :=
@@ -1338,7 +1338,7 @@ variable {R A n}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (fun (f : MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) => ((Fin n) -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u1, u2} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8)))) (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8)))) (List.ofFn.{u2} A n m))
 but is expected to have type
-  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : (Fin n) -> A) => A) m) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Semiring.toOne.{u1} A _inst_8) (List.ofFn.{u1} A n m))
+  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (m : (Fin n) -> A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) m) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) m) (List.prod.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (Semiring.toOne.{u1} A _inst_8) (List.ofFn.{u1} A n m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebraFin_apply (m : Fin n → A) :
@@ -1350,7 +1350,7 @@ theorem mkPiAlgebraFin_apply (m : Fin n → A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A _inst_1 _inst_8] (a : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (fun (f : MultilinearMap.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) => ((Fin n) -> A) -> A) (MultilinearMap.hasCoeToFun.{u1, u2, u2, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u1, u2} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_8)))) a n)
 but is expected to have type
-  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : (Fin n) -> A) => A) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18598 : Fin n) => a)) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18102 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (MonoidWithZero.toMonoid.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_8)))) a n)
+  forall {R : Type.{u2}} {n : Nat} [_inst_1 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] [_inst_9 : Algebra.{u2, u1} R A _inst_1 _inst_8] (a : A), Eq.{succ u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18573 : Fin n) => a)) (FunLike.coe.{succ u1, succ u1, succ u1} (MultilinearMap.{u2, u1, u1, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) ((Fin n) -> A) (fun (f : (Fin n) -> A) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> A) => A) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u1, u1, 0} R (Fin n) (fun (i : Fin n) => A) A (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Fin n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_8))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (fun (i : Fin n) => Algebra.toModule.{u2, u1} R ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18089 : Fin n) => A) i) _inst_1 _inst_8 _inst_9) (Algebra.toModule.{u2, u1} R A _inst_1 _inst_8 _inst_9)) (MultilinearMap.mkPiAlgebraFin.{u2, u1} R n _inst_1 A _inst_8 _inst_9) (fun (_x : Fin n) => a)) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (MonoidWithZero.toMonoid.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_8)))) a n)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_constₓ'. -/
 theorem mkPiAlgebraFin_apply_const (a : A) :
     (MultilinearMap.mkPiAlgebraFin R n A fun _ => a) = a ^ n := by simp
@@ -1424,7 +1424,7 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (succ u3) (succ u1) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (OfNat.mk.{u2} M₂ 0 (Zero.zero.{u2} M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))))) (OfNat.ofNat.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (OfNat.mk.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.zero.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.hasZero.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))
+  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι], Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4))))) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zeroₓ'. -/
 theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0 := by
   ext <;> rw [mk_pi_ring_apply, smul_zero, MultilinearMap.zero_apply]
@@ -1434,7 +1434,7 @@ theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (succ u3) (succ u1) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (OfNat.mk.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.zero.{max u3 u1 u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.hasZero.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7))))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (OfNat.mk.{u2} M₂ 0 (Zero.zero.{u2} M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18954 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))
+  forall {R : Type.{u1}} {ι : Type.{u3}} {M₂ : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_4 : AddCommMonoid.{u2} M₂] [_inst_7 : Module.{u1, u2} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_8 : Fintype.{u3} ι] (z : M₂), Iff (Eq.{max (max (succ u1) (succ u3)) (succ u2)} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.mkPiRing.{u1, u2, u3} R ι M₂ _inst_1 _inst_4 _inst_7 _inst_8 z) (OfNat.ofNat.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (i : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) 0 (Zero.toOfNat0.{max (max u1 u3) u2} (MultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7) (MultilinearMap.instZeroMultilinearMap.{u1, u1, u2, u3} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) (CommSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.18929 : ι) => R) i) _inst_1)))) _inst_4 (fun (i : ι) => Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) _inst_7)))) (Eq.{succ u2} M₂ z (OfNat.ofNat.{u2} M₂ 0 (Zero.toOfNat0.{u2} M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iffₓ'. -/
 theorem mkPiRing_eq_zero_iff [Fintype ι] (z : M₂) : MultilinearMap.mkPiRing R ι z = 0 ↔ z = 0 := by
   rw [← mk_pi_ring_zero, mk_pi_ring_eq_iff]
@@ -1454,7 +1454,7 @@ instance : Neg (MultilinearMap R M₁ M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (Neg.neg.{max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.hasNeg.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_4 i) _inst_5) f) m) (Neg.neg.{u3} M₂ (SubNegMonoid.toHasNeg.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_3))) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f m))
 but is expected to have type
-  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (Neg.neg.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.instNegMultilinearMapToAddCommMonoid.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_4 i) _inst_5) f) m) (Neg.neg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) m) _inst_3))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f m))
+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (Neg.neg.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.instNegMultilinearMapToAddCommMonoid.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_4 i) _inst_5) f) m) (Neg.neg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_3))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.neg_apply MultilinearMap.neg_applyₓ'. -/
 @[simp]
 theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
@@ -1472,7 +1472,7 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (g : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (m : forall (i : ι), M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (HSub.hSub.{max u4 u2 u3, max u4 u2 u3, max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (instHSub.{max u4 u2 u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.hasSub.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_4 i) _inst_5)) f g) m) (HSub.hSub.{u3, u3, u3} M₂ M₂ M₂ (instHSub.{u3} M₂ (SubNegMonoid.toHasSub.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_3)))) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f m) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) g m))
 but is expected to have type
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+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (_inst_2 i)] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (g : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (m : forall (i : ι), M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (HSub.hSub.{max (max u4 u2) u3, max (max u4 u2) u3, max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (instHSub.{max (max u4 u2) u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (MultilinearMap.instSubMultilinearMapToAddCommMonoid.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) _inst_3 (fun (i : ι) => _inst_4 i) _inst_5)) f g) m) (HSub.hSub.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (instHSub.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (SubNegMonoid.toSub.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddGroup.toSubNegMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) (AddCommGroup.toAddGroup.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) m) _inst_3)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f m) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => _inst_2 i) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) g m))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.sub_apply MultilinearMap.sub_applyₓ'. -/
 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
@@ -1507,7 +1507,7 @@ variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i,
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i))] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) [_inst_6 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i (Neg.neg.{u2} (M₁ i) (SubNegMonoid.toHasNeg.{u2} (M₁ i) (AddGroup.toSubNegMonoid.{u2} (M₁ i) (AddCommGroup.toAddGroup.{u2} (M₁ i) (_inst_2 i)))) x))) (Neg.neg.{u3} M₂ (SubNegMonoid.toHasNeg.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_3))) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)))
 but is expected to have type
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+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i))] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) [_inst_6 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i (Neg.neg.{u2} (M₁ i) (NegZeroClass.toNeg.{u2} (M₁ i) (SubNegZeroMonoid.toNegZeroClass.{u2} (M₁ i) (SubtractionMonoid.toSubNegZeroMonoid.{u2} (M₁ i) (SubtractionCommMonoid.toSubtractionMonoid.{u2} (M₁ i) (AddCommGroup.toDivisionAddCommMonoid.{u2} (M₁ i) (_inst_2 i)))))) x))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i (Neg.neg.{u2} (M₁ i) (NegZeroClass.toNeg.{u2} (M₁ i) (SubNegZeroMonoid.toNegZeroClass.{u2} (M₁ i) (SubtractionMonoid.toSubNegZeroMonoid.{u2} (M₁ i) (SubtractionCommMonoid.toSubtractionMonoid.{u2} (M₁ i) (AddCommGroup.toDivisionAddCommMonoid.{u2} (M₁ i) (_inst_2 i)))))) x))) (Neg.neg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (NegZeroClass.toNeg.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (SubNegZeroMonoid.toNegZeroClass.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (SubtractionMonoid.toSubNegZeroMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (SubtractionCommMonoid.toSubtractionMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (AddCommGroup.toDivisionAddCommMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) _inst_3))))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), max (succ u4) (succ u2), succ u3} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (forall (i : ι), M₁ i) (fun (f : forall (i : ι), M₁ i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_neg MultilinearMap.map_negₓ'. -/
 @[simp]
 theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
@@ -1520,7 +1520,7 @@ theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i))] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) [_inst_6 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} M₂ (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i (HSub.hSub.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHSub.{u2} (M₁ i) (SubNegMonoid.toHasSub.{u2} (M₁ i) (AddGroup.toSubNegMonoid.{u2} (M₁ i) (AddCommGroup.toAddGroup.{u2} (M₁ i) (_inst_2 i))))) x y))) (HSub.hSub.{u3, u3, u3} M₂ M₂ M₂ (instHSub.{u3} M₂ (SubNegMonoid.toHasSub.{u3} M₂ (AddGroup.toSubNegMonoid.{u3} M₂ (AddCommGroup.toAddGroup.{u3} M₂ _inst_3)))) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i x)) (coeFn.{max (succ u4) (succ u2) (succ u3), max (max (succ u4) (succ u2)) (succ u3)} (MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) (fun (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) => (forall (i : ι), M₁ i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) f (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i y)))
 but is expected to have type
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+  forall {R : Type.{u1}} {ι : Type.{u4}} {M₁ : ι -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (M₁ i)] [_inst_3 : AddCommGroup.{u3} M₂] [_inst_4 : forall (i : ι), Module.{u1, u2} R (M₁ i) _inst_1 (AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i))] [_inst_5 : Module.{u1, u3} R M₂ _inst_1 (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3)] (f : MultilinearMap.{u1, u2, u3, u4} R ι M₁ M₂ _inst_1 (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u2} (M₁ i) (_inst_2 i)) (AddCommGroup.toAddCommMonoid.{u3} M₂ _inst_3) (fun (i : ι) => _inst_4 i) _inst_5) [_inst_6 : DecidableEq.{succ u4} ι] (m : forall (i : ι), M₁ i) (i : ι) (x : M₁ i) (y : M₁ i), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : ι), M₁ i) => M₂) (Function.update.{succ u4, succ u2} ι (fun (i : ι) => M₁ i) (fun (a : ι) (b : ι) => _inst_6 a b) m i (HSub.hSub.{u2, u2, u2} (M₁ i) (M₁ i) (M₁ i) (instHSub.{u2} (M₁ i) (SubNegMonoid.toSub.{u2} 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.map_sub MultilinearMap.map_subₓ'. -/
 @[simp]
 theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
@@ -1622,7 +1622,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : 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 but is expected to have type
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+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : LinearMap.{u1, u1, u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_2 (OfNat.ofNat.{0} 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(fun (i : Fin n) => M (Fin.succ n i)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7) (_inst_5 (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) M₂ (fun (i : Fin n) => _inst_2 (Fin.succ n i)) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_5 (Fin.succ n i)) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (m (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (Fin.instOfNatFin (Nat.succ n) 0 (NeZero.succ n))))) (Fin.tail.{u2} n M m))
 Case conversion may be inaccurate. Consider using '#align linear_map.uncurry_left_apply LinearMap.uncurryLeft_applyₓ'. -/
 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
@@ -1663,7 +1663,7 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (x : M (OfNat.ofNat.{0} (Fin (Nat.succ n)) 0 (OfNat.mk.{0} (Fin (Nat.succ n)) 0 (Zero.zero.{0} (Fin (Nat.succ n)) (Fin.hasZeroOfNeZero (Nat.succ n) (NeZero.succ n)))))) (m : forall (i : Fin n), M (Fin.succ n i)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (i : Fin n) => M (Fin.succ n i)) 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_left_apply MultilinearMap.curryLeft_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 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 multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat 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Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) => LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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(instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 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0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1920,7 +1920,7 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
 lean 3 declaration is
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=> _inst_6) _inst_7) ((Sum.{u5, u1} ι ι') -> M') (fun (f : (Sum.{u5, u1} ι ι') -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Sum.{u5, u1} ι ι') -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) f (Sum.elim.{u5, u1, succ u3} ι ι' M' u v))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_sum_apply MultilinearMap.currySum_applyₓ'. -/
 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
@@ -1956,7 +1956,7 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
 lean 3 declaration is
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 but is expected to have type
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+  forall {R : Type.{u2}} {ι : Type.{u5}} {M₂ : Type.{u4}} {M' : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : AddCommMonoid.{u3} M'] [_inst_4 : AddCommMonoid.{u4} M₂] [_inst_6 : Module.{u2, u3} R M' (CommSemiring.toSemiring.{u2} R _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] {ι' : Type.{u1}} (f : MultilinearMap.{u2, u3, max (max u1 u4) u3, u5} R ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') 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ι') => _inst_6) _inst_7) (Function.comp.{succ u5, max (succ u5) (succ u1), succ u3} ι (Sum.{u5, u1} ι ι') M' u (Sum.inl.{u5, u1} ι ι'))) (ι' -> M') (fun (f : ι' -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι' -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (FunLike.coe.{max (max (max (succ u5) (succ u3)) (succ u4)) (succ u1), max (succ u5) (succ u3), max (max (succ u3) (succ u4)) (succ u1)} (MultilinearMap.{u2, u3, max (max u1 u4) u3, u5} R ι (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24645 : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24658 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) 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(fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : ι -> M') => MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24658 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u2, u3, max (max u3 u4) u1, u5} R ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) f (Function.comp.{succ u5, max (succ u5) (succ u1), succ u3} ι (Sum.{u5, u1} ι ι') M' u (Sum.inl.{u5, u1} ι ι'))) (Function.comp.{succ u1, max (succ u5) (succ u1), succ u3} ι' (Sum.{u5, u1} ι ι') M' u (Sum.inr.{u5, u1} ι ι')))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_applyₓ'. -/
 @[simp]
 theorem uncurrySum_aux_apply
@@ -1996,23 +1996,23 @@ variable {ι ι' R M₂ M'}
 lean 3 declaration is
   forall {R : Type.{u1}} {ι : Type.{u4}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {ι' : Type.{u5}}, Eq.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} ((MultilinearMap.{u1, u2, u3, max u4 u5} R (Sum.{u4, u5} ι ι') (fun (x : Sum.{u4, u5} ι ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Sum.{u4, u5} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u4, u5} ι ι') => _inst_6) _inst_7) -> (MultilinearMap.{u1, u2, max u5 u2 u3, u4} R ι (fun (x : ι) => M') (MultilinearMap.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, u5} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.module.{u2, u3, u5, u1, u1} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (MultilinearMap.currySumEquiv._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))) (coeFn.{max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3)), max (succ (max (max u4 u5) u2 u3)) (succ (max u4 u2 u5 u2 u3))} (LinearEquiv.{u1, u1, max (max u4 u5) u2 u3, max u4 u2 u5 u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
   rfl
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
 
-/- warning: multilinear_map.coe_curr_sum_equiv_symm -> MultilinearMap.coe_curr_sum_equiv_symm is a dubious translation:
+/- warning: multilinear_map.coe_curr_sum_equiv_symm -> MultilinearMap.coe_currySumEquiv_symm 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 multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_curr_sum_equiv_symmₓ'. -/
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_inst_4 _inst_7)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))))) (LinearEquiv.symm.{u2, u2, max (max (max u5 u3) u4) u1, max (max (max u5 u3) u4) u1} R R (MultilinearMap.{u2, u3, u4, max u5 u1} R (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) (MultilinearMap.{u2, u3, max (max u1 u4) u3, u5} R ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_3) 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ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u2, u3, max (max u3 u4) u1, u5} R ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, max u5 u1, u2, u2} (Sum.{u5, u1} ι ι') (fun (x : Sum.{u5, u1} ι ι') => M') M₂ (fun (i : Sum.{u5, u1} ι ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : Sum.{u5, u1} ι ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, max (max u3 u4) u1, u5, u2, u2} ι (fun (x : ι) => M') (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (fun (i : ι) => _inst_3) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (Module.toMulActionWithZero.{u2, max (max u3 u4) u1} R (MultilinearMap.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (CommSemiring.toSemiring.{u2} R _inst_1) (MultilinearMap.addCommMonoid.{u2, u3, u4, u1} R ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_3) _inst_4 (fun (i : ι') => _inst_6) _inst_7) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u3, u4, u1, u2, u2} ι' (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.24845 : ι') => M') M₂ (fun (i : ι') => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (fun (i : ι') => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u2, u4} R M₂ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R M₂ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_4)) (Module.toMulActionWithZero.{u2, u4} R M₂ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (MultilinearMap.currySumEquiv.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι'))) (MultilinearMap.uncurrySum.{u2, u3, u4, u5, u1} R ι M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 ι')
+Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symmₓ'. -/
 @[simp]
-theorem coe_curr_sum_equiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
+theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
   rfl
-#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_curr_sum_equiv_symm
+#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symm
 
 variable (R M₂ M')
 
@@ -2020,7 +2020,7 @@ variable (R M₂ M')
 lean 3 declaration is
   forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u2 u3, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MultilinearMap.curryFinFinset._proof_1.{u1} R _inst_1) (MultilinearMap.curryFinFinset._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin n) (fun (x : Fin n) => M') M₂ (fun (i : Fin n) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_4.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.module.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (MultilinearMap.curryFinFinset._proof_3.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)) (MultilinearMap.curryFinFinset._proof_5.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 l)))
 but is expected to have type
-  forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin n) (fun (x : Fin n) => M') M₂ (fun (i : Fin n) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, max u2 u3, 0, u1, u1} (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Module.toMulActionWithZero.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))))
+  forall (R : Type.{u1}) (M₂ : Type.{u3}) (M' : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)}, (Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) -> (Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b))) s)) l) -> (LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => _inst_3) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (fun (i : Fin k) => _inst_6) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin l) (fun (x : Fin l) => M') M₂ (fun (i : Fin l) => _inst_3) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_6) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.addCommMonoid.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) (MultilinearMap.addCommMonoid.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => 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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinsetₓ'. -/
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
@@ -2039,7 +2039,7 @@ variable {R M₂ M'}
 lean 3 declaration is
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(RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) mk) ml) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25464 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (fun (i : Fin n) => Sum.elim.{0, 0, succ u2} (Fin k) (Fin l) M' mk ml (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Fin n) => Sum.{0, 0} (Fin k) (Fin l)) _x) (Equiv.instFunLikeEquiv.{1, 1} (Fin n) (Sum.{0, 0} (Fin k) (Fin l))) (Equiv.symm.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl)) i)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
@@ -2053,7 +2053,7 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
 lean 3 declaration is
   forall {R : Type.{u1}} {M₂ : Type.{u3}} {M' : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : AddCommMonoid.{u2} M'] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_6 : Module.{u1, u2} R M' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] {k : Nat} {l : Nat} {n : Nat} {s : Finset.{0} (Fin n)} (hk : Eq.{1} Nat (Finset.card.{0} (Fin n) s) k) (hl : Eq.{1} Nat (Finset.card.{0} (Fin n) (HasCompl.compl.{0} (Finset.{0} (Fin n)) (BooleanAlgebra.toHasCompl.{0} (Finset.{0} (Fin n)) (Finset.booleanAlgebra.{0} (Fin n) (Fin.fintype n) (fun (a : Fin n) (b : Fin n) => Fin.decidableEq n a b))) s)) l) (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin k) (fun (x : Fin k) => M') (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin k) => 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(smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (fun (i : Fin k) => m (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (Sum.{0, 0} (Fin k) (Fin l)) (fun (_x : Sum.{0, 0} (Fin k) (Fin l)) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Sum.{0, 0} (Fin k) (Fin l)) => Fin n) _x) (Equiv.instFunLikeEquiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl) (Sum.inl.{0, 0} (Fin k) (Fin l) i)))) (fun (i : Fin l) => m (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (Sum.{0, 0} (Fin k) (Fin l)) (fun (_x : Sum.{0, 0} (Fin k) (Fin l)) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Sum.{0, 0} (Fin k) (Fin l)) => Fin n) _x) (Equiv.instFunLikeEquiv.{1, 1} (Sum.{0, 0} (Fin k) (Fin l)) (Fin n)) (finSumEquivOfFinset.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) (Fin.fintype n) (Fin.instLinearOrderFin n) k l s hk hl) (Sum.inr.{0, 0} (Fin k) (Fin l) i))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2070,7 +2070,7 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
 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 multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2093,7 +2093,7 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
@@ -2107,7 +2107,7 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
 lean 3 declaration is
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M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25285 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin 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R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) (fun (_x : Fin k) => x)) (fun (_x : Fin l) => y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.26390 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.418 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (Finset.piecewise.{0, succ u2} (Fin n) (fun (i : Fin n) => M') s (fun (_x : Fin n) => x) (fun (_x : Fin n) => y) (fun (j : Fin n) => Finset.decidableMem.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) j s)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

@@ -462,7 +462,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toHasAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} M₂ M₂ M₂ (instHAdd.{u3} M₂ (AddZeroClass.toHasAdd.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)))) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin 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(AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (x : M (Fin.last n)) (y : M (Fin.last n)), Eq.{succ u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (HAdd.hAdd.{u2, u2, u2} (M (Fin.last n)) (M (Fin.last n)) (M (Fin.last n)) (instHAdd.{u2} (M (Fin.last n)) (AddZeroClass.toAdd.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n)))))) x y))) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin 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(x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m y)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
@@ -476,7 +476,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : Semiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_7 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) _inst_1 (_inst_2 i)] [_inst_9 : Module.{u1, u3} R M₂ _inst_1 _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (c : R) (x : M (Fin.last n)), Eq.{succ u3} M₂ (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m (SMul.smul.{u1, u2} R (M (Fin.last n)) (SMulZeroClass.toHasSmul.{u1, u2} R (M (Fin.last n)) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (M (Fin.last n)) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (M (Fin.last n)) (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u2} (M (Fin.last n)) (AddMonoid.toAddZeroClass.{u2} (M (Fin.last n)) (AddCommMonoid.toAddMonoid.{u2} (M (Fin.last n)) (_inst_2 (Fin.last n))))) (Module.toMulActionWithZero.{u1, u2} R (M (Fin.last n)) _inst_1 (_inst_2 (Fin.last n)) (_inst_7 (Fin.last n)))))) c x))) (SMul.smul.{u1, u3} R M₂ (SMulZeroClass.toHasSmul.{u1, u3} R M₂ (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M₂ (AddMonoid.toAddZeroClass.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M₂ _inst_1 _inst_4 _inst_9)))) c (coeFn.{max 1 (succ u2) (succ u3), max (succ u2) (succ u3)} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) (fun (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) => (forall (i : Fin (Nat.succ n)), M i) -> M₂) (MultilinearMap.hasCoeToFun.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 but is expected to have type
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: forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_7 i) _inst_9) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
@@ -1734,7 +1734,7 @@ variable {R M M₂}
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.uncurryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
@@ -1778,7 +1778,7 @@ def MultilinearMap.uncurryRight
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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 but is expected to have type
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(instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) => LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 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0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 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x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
@@ -1791,7 +1791,7 @@ theorem MultilinearMap.uncurryRight_apply
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.curryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7)))
 but is expected to have type
-  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (EmbeddingLike.toFunLike.{1, 1, 1} (Function.Embedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Function.instEmbeddingLikeEmbedding.{1, 1} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (RelEmbedding.toEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
+  forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) -> (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
@@ -1819,7 +1819,7 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (m : forall (i : Fin n), M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))) => (Fin n) -> (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (RelEmbedding.hasCoeToFun.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (LE.le.{0} (Fin n) (Fin.hasLe n)) (LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat 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instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (M (Fin.last n)) M₂ (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_2 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f) m) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) (forall (i : Fin (Nat.succ n)), M i) (fun (f : forall (i : Fin (Nat.succ n)), M i) => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : forall (i : Fin (Nat.succ n)), M i) => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7) f (Fin.snoc.{u2} n (fun (i : Fin (Nat.succ n)) => M i) m x))
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
@@ -1831,7 +1831,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i
 lean 3 declaration is
   forall {R : Type.{u1}} {n : Nat} {M : (Fin (Nat.succ n)) -> Type.{u2}} {M₂ : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] (f : MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Fin.hasLe n) (Fin.hasLe (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))))) (fun (_x : RelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 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 but is expected to have type
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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.curryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 (MultilinearMap.uncurryRight.{u1, u2, u3} R n M M₂ _inst_1 (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 f)) f
 Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
@@ -1857,7 +1857,7 @@ variable (R M M₂)
 lean 3 declaration is
   forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u2 u3, max u2 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (multilinearCurryRightEquiv._proof_1.{u1} R _inst_1) (multilinearCurryRightEquiv._proof_2.{u1} R _inst_1) (MultilinearMap.{u1, u2, max u2 u3, 0} R (Fin n) (fun (i : Fin n) => M (coeFn.{1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} 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_inst_1 _inst_2 _inst_4 _inst_5 _inst_7)) (MultilinearMap.module.{u2, u3, 0, u1, u1} (Fin (Nat.succ n)) M M₂ (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 _inst_7 (multilinearCurryRightEquiv._proof_5.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))
 but is expected to have type
-  forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} 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(OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Fin.castSucc n)) i)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u1, u1, u1, u1, u2, u3} R R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))) (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) (MultilinearMap.instModuleMultilinearMapAddCommMonoid.{u2, u3, 0, u1, u1} (Fin (Nat.succ n)) M M₂ (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7 _inst_7 (smulCommClass_self.{u1, u3} R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))
+  forall (R : Type.{u1}) {n : Nat} (M : (Fin (Nat.succ n)) -> Type.{u2}) (M₂ : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : forall (i : Fin (Nat.succ n)), AddCommMonoid.{u2} (M i)] [_inst_4 : AddCommMonoid.{u3} M₂] [_inst_5 : forall (i : Fin (Nat.succ n)), Module.{u1, u2} R (M i) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 i)] [_inst_7 : Module.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4], LinearEquiv.{u1, u1, max u3 u2, max u3 u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.{u1, u2, max u3 u2, 0} R (Fin n) (fun (i : Fin n) => M (FunLike.coe.{1, 1, 1} 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(x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Fin n) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Fin n) => LE.le.{0} (Fin n) (instLEFin n) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) => LE.le.{0} (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Fin.castSucc n) i)) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (fun (i : Fin n) => _inst_5 (FunLike.coe.{1, 1, 1} (OrderEmbedding.{0, 0} (Fin n) (Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (instLEFin n) (instLEFin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))) (Fin n) (fun (_x : Fin n) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Fin n) => Fin (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) _x) (RelHomClass.toFunLike.{0, 0, 0} (OrderEmbedding.{0, 0} 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_inst_7))))
 Case conversion may be inaccurate. Consider using '#align multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the

mathlib commit https://github.com/leanprover-community/mathlib/commit/284fdd2962e67d2932fa3a79ce19fcf92d38e228

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a
+! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -19,6 +19,9 @@ import Mathbin.Data.Fintype.Sort
 /-!
 # Multilinear maps
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define multilinear maps as maps from `Π(i : ι), M₁ i` to `M₂` which are linear in each
 coordinate. Here, `M₁ i` and `M₂` are modules over a ring `R`, and `ι` is an arbitrary type
 (although some statements will require it to be a fintype). This space, denoted by

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

@@ -85,6 +85,7 @@ universe u v v' v₁ v₂ v₃ w u'
 variable {R : Type u} {ι : Type u'} {n : ℕ} {M : Fin n.succ → Type v} {M₁ : ι → Type v₁}
   {M₂ : Type v₂} {M₃ : Type v₃} {M' : Type v'}
 
+#print MultilinearMap /-
 /-- Multilinear maps over the ring `R`, from `Πi, M₁ i` to `M₂` where `M₁ i` and `M₂` are modules
 over `R`. -/
 structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M₂ : Type w) [Semiring R]
@@ -97,6 +98,7 @@ structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M
     ∀ [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i),
       to_fun (update m i (c • x)) = c • to_fun (update m i x)
 #align multilinear_map MultilinearMap
+-/
 
 namespace MultilinearMap
 
@@ -111,24 +113,37 @@ instance : CoeFun (MultilinearMap R M₁ M₂) fun f => (∀ i, M₁ i) → M₂
 
 initialize_simps_projections MultilinearMap (toFun → apply)
 
+#print MultilinearMap.toFun_eq_coe /-
 @[simp]
 theorem toFun_eq_coe : f.toFun = f :=
   rfl
 #align multilinear_map.to_fun_eq_coe MultilinearMap.toFun_eq_coe
+-/
 
+/- warning: multilinear_map.coe_mk -> MultilinearMap.coe_mk is a dubious translation:
+lean 3 declaration is
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 @[simp]
 theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   rfl
 #align multilinear_map.coe_mk MultilinearMap.coe_mk
 
+#print MultilinearMap.congr_fun /-
 theorem congr_fun {f g : MultilinearMap R M₁ M₂} (h : f = g) (x : ∀ i, M₁ i) : f x = g x :=
   congr_arg (fun h : MultilinearMap R M₁ M₂ => h x) h
 #align multilinear_map.congr_fun MultilinearMap.congr_fun
+-/
 
+#print MultilinearMap.congr_arg /-
 theorem congr_arg (f : MultilinearMap R M₁ M₂) {x y : ∀ i, M₁ i} (h : x = y) : f x = f y :=
   congr_arg (fun x : ∀ i, M₁ i => f x) h
 #align multilinear_map.congr_arg MultilinearMap.congr_arg
+-/
 
+#print MultilinearMap.coe_injective /-
 theorem coe_injective : Injective (coeFn : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) :=
   by
   intro f g h
@@ -137,21 +152,34 @@ theorem coe_injective : Injective (coeFn : MultilinearMap R M₁ M₂ → (∀ i
   cases h
   rfl
 #align multilinear_map.coe_injective MultilinearMap.coe_injective
+-/
 
+#print MultilinearMap.coe_inj /-
 @[simp, norm_cast]
 theorem coe_inj {f g : MultilinearMap R M₁ M₂} : (f : (∀ i, M₁ i) → M₂) = g ↔ f = g :=
   coe_injective.eq_iff
 #align multilinear_map.coe_inj MultilinearMap.coe_inj
+-/
 
+#print MultilinearMap.ext /-
 @[ext]
 theorem ext {f f' : MultilinearMap R M₁ M₂} (H : ∀ x, f x = f' x) : f = f' :=
   coe_injective (funext H)
 #align multilinear_map.ext MultilinearMap.ext
+-/
 
+#print MultilinearMap.ext_iff /-
 theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x :=
   ⟨fun h x => h ▸ rfl, fun h => ext h⟩
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
+-/
 
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 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
   by
@@ -159,29 +187,55 @@ theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂
   rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
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 @[simp]
 protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x + y)) = f (update m i x) + f (update m i y) :=
   f.map_add' m i x y
 #align multilinear_map.map_add MultilinearMap.map_add
 
+#print MultilinearMap.map_smul /-
 @[simp]
 protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
     f (update m i (c • x)) = c • f (update m i x) :=
   f.map_smul' m i c x
 #align multilinear_map.map_smul MultilinearMap.map_smul
+-/
 
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 theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
   classical
     have : (0 : R) • (0 : M₁ i) = 0 := by simp
     rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 
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 @[simp]
 theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
   f.map_coord_zero i (update_same i 0 m)
 #align multilinear_map.map_update_zero MultilinearMap.map_update_zero
 
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 @[simp]
 theorem map_zero [Nonempty ι] : f 0 = 0 :=
   by
@@ -194,6 +248,12 @@ instance : Add (MultilinearMap R M₁ M₂) :=
     ⟨fun x => f x + f' x, fun m i x y => by simp [add_left_comm, add_assoc], fun _ m i c x => by
       simp [smul_add]⟩⟩
 
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 @[simp]
 theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
   rfl
@@ -205,6 +265,12 @@ instance : Zero (MultilinearMap R M₁ M₂) :=
 instance : Inhabited (MultilinearMap R M₁ M₂) :=
   ⟨0⟩
 
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 @[simp]
 theorem zero_apply (m : ∀ i, M₁ i) : (0 : MultilinearMap R M₁ M₂) m = 0 :=
   rfl
@@ -220,11 +286,23 @@ instance : SMul R' (MultilinearMap A M₁ M₂) :=
     ⟨fun m => c • f m, fun _ m i x y => by simp [smul_add], fun _ l i x d => by
       simp [← smul_comm x c]⟩⟩
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.smul_apply MultilinearMap.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
   rfl
 #align multilinear_map.smul_apply MultilinearMap.smul_apply
 
+/- warning: multilinear_map.coe_smul -> MultilinearMap.coe_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_smul MultilinearMap.coe_smulₓ'. -/
 theorem coe_smul (c : R') (f : MultilinearMap A M₁ M₂) : ⇑(c • f) = c • f :=
   rfl
 #align multilinear_map.coe_smul MultilinearMap.coe_smul
@@ -234,6 +312,12 @@ end SMul
 instance : AddCommMonoid (MultilinearMap R M₁ M₂) :=
   coe_injective.AddCommMonoid _ rfl (fun _ _ => rfl) fun _ _ => rfl
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.sum_apply MultilinearMap.sum_applyₓ'. -/
 @[simp]
 theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
@@ -246,6 +330,7 @@ theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀
       simp [H, has]
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 
+#print MultilinearMap.toLinearMap /-
 /-- If `f` is a multilinear map, then `f.to_linear_map m i` is the linear map obtained by fixing all
 coordinates but `i` equal to those of `m`, and varying the `i`-th coordinate. -/
 @[simps]
@@ -255,7 +340,14 @@ def toLinearMap [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R]
   map_add' x y := by simp
   map_smul' c x := by simp
 #align multilinear_map.to_linear_map MultilinearMap.toLinearMap
+-/
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.prod MultilinearMap.prodₓ'. -/
 /-- The cartesian product of two multilinear maps, as a multilinear map. -/
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
     where
@@ -264,6 +356,7 @@ def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : Mul
   map_smul' _ m i c x := by simp
 #align multilinear_map.prod MultilinearMap.prod
 
+#print MultilinearMap.pi /-
 /-- Combine a family of multilinear maps with the same domain and codomains `M' i` into a
 multilinear map taking values in the space of functions `Π i, M' i`. -/
 @[simps]
@@ -274,11 +367,13 @@ def pi {ι' : Type _} {M' : ι' → Type _} [∀ i, AddCommMonoid (M' i)] [∀ i
   map_add' _ m i x y := funext fun j => (f j).map_add _ _ _ _
   map_smul' _ m i c x := funext fun j => (f j).map_smul _ _ _ _
 #align multilinear_map.pi MultilinearMap.pi
+-/
 
 section
 
 variable (R M₂)
 
+#print MultilinearMap.ofSubsingleton /-
 /-- The evaluation map from `ι → M₂` to `M₂` is multilinear at a given `i` when `ι` is subsingleton.
 -/
 @[simps]
@@ -292,9 +387,11 @@ def ofSubsingleton [Subsingleton ι] (i' : ι) : MultilinearMap R (fun _ : ι =>
     rw [Subsingleton.elim i i']
     simp only [Function.eval, Function.update_same]
 #align multilinear_map.of_subsingleton MultilinearMap.ofSubsingleton
+-/
 
 variable (M₁) {M₂}
 
+#print MultilinearMap.constOfIsEmpty /-
 /-- The constant map is multilinear when `ι` is empty. -/
 @[simps (config := { fullyApplied := false })]
 def constOfIsEmpty [IsEmpty ι] (m : M₂) : MultilinearMap R M₁ M₂
@@ -303,9 +400,11 @@ def constOfIsEmpty [IsEmpty ι] (m : M₂) : MultilinearMap R M₁ M₂
   map_add' _ m := isEmptyElim
   map_smul' _ m := isEmptyElim
 #align multilinear_map.const_of_is_empty MultilinearMap.constOfIsEmpty
+-/
 
 end
 
+#print MultilinearMap.restr /-
 /-- Given a multilinear map `f` on `n` variables (parameterized by `fin n`) and a subset `s` of `k`
 of these variables, one gets a new multilinear map on `fin k` by varying these variables, and fixing
 the other ones equal to a given value `z`. It is denoted by `f.restr s hk z`, where `hk` is a
@@ -324,9 +423,16 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
     erw [dite_comp_equiv_update, dite_comp_equiv_update]
     simp
 #align multilinear_map.restr MultilinearMap.restr
+-/
 
 variable {R}
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_add MultilinearMap.cons_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -335,6 +441,12 @@ theorem cons_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (x
   rw [← update_cons_zero x m (x + y), f.map_add, update_cons_zero, update_cons_zero]
 #align multilinear_map.cons_add MultilinearMap.cons_add
 
+/- warning: multilinear_map.cons_smul -> MultilinearMap.cons_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.cons_smul MultilinearMap.cons_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -343,6 +455,12 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
   rw [← update_cons_zero x m (c • x), f.map_smul, update_cons_zero]
 #align multilinear_map.cons_smul MultilinearMap.cons_smul
 
+/- warning: multilinear_map.snoc_add -> MultilinearMap.snoc_add is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_add MultilinearMap.snoc_addₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
 multilinear map along the first variable. -/
@@ -351,6 +469,12 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ
   rw [← update_snoc_last x m (x + y), f.map_add, update_snoc_last, update_snoc_last]
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.snoc_smul MultilinearMap.snoc_smulₓ'. -/
 /-- In the specific case of multilinear maps on spaces indexed by `fin (n+1)`, where one can build
 an element of `Π(i : fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
@@ -365,6 +489,7 @@ variable {M₁' : ι → Type _} [∀ i, AddCommMonoid (M₁' i)] [∀ i, Module
 
 variable {M₁'' : ι → Type _} [∀ i, AddCommMonoid (M₁'' i)] [∀ i, Module R (M₁'' i)]
 
+#print MultilinearMap.compLinearMap /-
 /-- If `g` is a multilinear map and `f` is a collection of linear maps,
 then `g (f₁ m₁, ..., fₙ mₙ)` is again a multilinear map, that we call
 `g.comp_linear_map f`. -/
@@ -382,13 +507,26 @@ def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R]
       Function.apply_update (fun k => f k) _ _ _ _
     · simp [this]
 #align multilinear_map.comp_linear_map MultilinearMap.compLinearMap
+-/
 
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 @[simp]
 theorem compLinearMap_apply (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i)
     (m : ∀ i, M₁ i) : g.compLinearMap f m = g fun i => f i (m i) :=
   rfl
 #align multilinear_map.comp_linear_map_apply MultilinearMap.compLinearMap_apply
 
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 /-- Composing a multilinear map twice with a linear map in each argument is
 the same as composing with their composition. -/
 theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M₁' i →ₗ[R] M₁'' i)
@@ -397,6 +535,12 @@ theorem compLinearMap_assoc (g : MultilinearMap R M₁'' M₂) (f₁ : ∀ i, M
   rfl
 #align multilinear_map.comp_linear_map_assoc MultilinearMap.compLinearMap_assoc
 
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 /-- Composing the zero multilinear map with a linear map in each argument. -/
 @[simp]
 theorem zero_compLinearMap (f : ∀ i, M₁ i →ₗ[R] M₁' i) :
@@ -404,6 +548,12 @@ theorem zero_compLinearMap (f : ∀ i, M₁ i →ₗ[R] M₁' i) :
   ext fun _ => rfl
 #align multilinear_map.zero_comp_linear_map MultilinearMap.zero_compLinearMap
 
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 /-- Composing a multilinear map with the identity linear map in each argument. -/
 @[simp]
 theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
@@ -411,6 +561,12 @@ theorem compLinearMap_id (g : MultilinearMap R M₁' M₂) :
   ext fun _ => rfl
 #align multilinear_map.comp_linear_map_id MultilinearMap.compLinearMap_id
 
+/- warning: multilinear_map.comp_linear_map_injective -> MultilinearMap.compLinearMap_injective is a dubious translation:
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 /-- Composing with a family of surjective linear maps is injective. -/
 theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i)) :
     Injective fun g : MultilinearMap R M₁' M₂ => g.compLinearMap f := fun g₁ g₂ h =>
@@ -418,11 +574,23 @@ theorem compLinearMap_injective (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀
     simpa [fun i => surj_inv_eq (hf i)] using ext_iff.mp h fun i => surj_inv (hf i) (x i)
 #align multilinear_map.comp_linear_map_injective MultilinearMap.compLinearMap_injective
 
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 theorem compLinearMap_inj (f : ∀ i, M₁ i →ₗ[R] M₁' i) (hf : ∀ i, Surjective (f i))
     (g₁ g₂ : MultilinearMap R M₁' M₂) : g₁.compLinearMap f = g₂.compLinearMap f ↔ g₁ = g₂ :=
   (compLinearMap_injective _ hf).eq_iff
 #align multilinear_map.comp_linear_map_inj MultilinearMap.compLinearMap_inj
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.comp_linear_equiv_eq_zero_iff MultilinearMap.comp_linearEquiv_eq_zero_iffₓ'. -/
 /-- Composing a multilinear map with a linear equiv on each argument gives the zero map
 if and only if the multilinear map is the zero map. -/
 @[simp]
@@ -435,6 +603,12 @@ theorem comp_linearEquiv_eq_zero_iff (g : MultilinearMap R M₁' M₂) (f : ∀
 
 end
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_addₓ'. -/
 /-- If one adds to a vector `m'` another vector `m`, but only for coordinates in a finset `t`, then
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
 `t`. This is mainly an auxiliary statement to prove the result when `t = univ`, given in
@@ -476,6 +650,12 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
   rw [this]
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
 
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 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
 theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
@@ -489,6 +669,12 @@ variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (
 
 open Fintype Finset
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -649,6 +835,12 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   rw [← Finset.sum_union D]
 #align multilinear_map.map_sum_finset_aux MultilinearMap.map_sum_finset_aux
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
@@ -658,6 +850,12 @@ theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
   f.map_sum_finset_aux _ _ rfl
 #align multilinear_map.map_sum_finset MultilinearMap.map_sum_finset
 
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 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
 multilinearity by expanding successively with respect to each coordinate. -/
@@ -666,6 +864,12 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
   f.map_sum_finset g fun i => Finset.univ
 #align multilinear_map.map_sum MultilinearMap.map_sum
 
+/- warning: multilinear_map.map_update_sum -> MultilinearMap.map_update_sum is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.map_update_sum MultilinearMap.map_update_sumₓ'. -/
 theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
@@ -676,6 +880,7 @@ theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (
 
 end ApplySum
 
+#print MultilinearMap.codRestrict /-
 /-- Restrict the codomain of a multilinear map to a submodule.
 
 This is the multilinear version of `linear_map.cod_restrict`. -/
@@ -686,12 +891,14 @@ def codRestrict (f : MultilinearMap R M₁ M₂) (p : Submodule R M₂) (h : ∀
   map_add' _ v i x y := Subtype.ext <| MultilinearMap.map_add _ _ _ _ _
   map_smul' _ v i c x := Subtype.ext <| MultilinearMap.map_smul _ _ _ _ _
 #align multilinear_map.cod_restrict MultilinearMap.codRestrict
+-/
 
 section RestrictScalar
 
 variable (R) {A : Type _} [Semiring A] [SMul R A] [∀ i : ι, Module A (M₁ i)] [Module A M₂]
   [∀ i, IsScalarTower R A (M₁ i)] [IsScalarTower R A M₂]
 
+#print MultilinearMap.restrictScalars /-
 /-- Reinterpret an `A`-multilinear map as an `R`-multilinear map, if `A` is an algebra over `R`
 and their actions on all involved modules agree with the action of `R` on `A`. -/
 def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M₂
@@ -700,7 +907,14 @@ def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M
   map_add' _ := f.map_add
   map_smul' _ m i := (f.to_linear_map m i).map_smul_of_tower
 #align multilinear_map.restrict_scalars MultilinearMap.restrictScalars
+-/
 
+/- warning: multilinear_map.coe_restrict_scalars -> MultilinearMap.coe_restrictScalars is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_restrict_scalars MultilinearMap.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (f : MultilinearMap A M₁ M₂) : ⇑(f.restrictScalars R) = f :=
   rfl
@@ -712,6 +926,7 @@ section
 
 variable {ι₁ ι₂ ι₃ : Type _}
 
+#print MultilinearMap.domDomCongr /-
 /-- Transfer the arguments to a map along an equivalence between argument indices.
 
 The naming is derived from `finsupp.dom_congr`, noting that here the permutation applies to the
@@ -732,19 +947,38 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun i : ι₁ => M
     simp_rw [Function.update_apply_equiv_apply v]
     rw [m.map_smul]
 #align multilinear_map.dom_dom_congr MultilinearMap.domDomCongr
+-/
 
+/- warning: multilinear_map.dom_dom_congr_trans -> MultilinearMap.domDomCongr_trans is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.dom_dom_congr_trans MultilinearMap.domDomCongr_transₓ'. -/
 theorem domDomCongr_trans (σ₁ : ι₁ ≃ ι₂) (σ₂ : ι₂ ≃ ι₃)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₁.trans σ₂) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_trans MultilinearMap.domDomCongr_trans
 
+/- warning: multilinear_map.dom_dom_congr_mul -> MultilinearMap.domDomCongr_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.dom_dom_congr_mul MultilinearMap.domDomCongr_mulₓ'. -/
 theorem domDomCongr_mul (σ₁ : Equiv.Perm ι₁) (σ₂ : Equiv.Perm ι₁)
     (m : MultilinearMap R (fun i : ι₁ => M₂) M₃) :
     m.domDomCongr (σ₂ * σ₁) = (m.domDomCongr σ₁).domDomCongr σ₂ :=
   rfl
 #align multilinear_map.dom_dom_congr_mul MultilinearMap.domDomCongr_mul
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.dom_dom_congr_equiv MultilinearMap.domDomCongrEquivₓ'. -/
 /-- `multilinear_map.dom_dom_congr` as an equivalence.
 
 This is declared separately because it does not work with dot notation. -/
@@ -765,6 +999,12 @@ def domDomCongrEquiv (σ : ι₁ ≃ ι₂) :
     simp
 #align multilinear_map.dom_dom_congr_equiv MultilinearMap.domDomCongrEquiv
 
+/- warning: multilinear_map.dom_dom_congr_eq_iff -> MultilinearMap.domDomCongr_eq_iff is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.dom_dom_congr_eq_iff MultilinearMap.domDomCongr_eq_iffₓ'. -/
 /-- The results of applying `dom_dom_congr` to two maps are equal if
 and only if those maps are. -/
 @[simp]
@@ -784,6 +1024,7 @@ namespace LinearMap
 variable [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [AddCommMonoid M₃]
   [AddCommMonoid M'] [∀ i, Module R (M₁ i)] [Module R M₂] [Module R M₃] [Module R M']
 
+#print LinearMap.compMultilinearMap /-
 /-- Composing a multilinear map with a linear map gives again a multilinear map. -/
 def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) : MultilinearMap R M₁ M₃
     where
@@ -791,26 +1032,47 @@ def compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂
   map_add' m i x y := by simp
   map_smul' m i c x := by simp
 #align linear_map.comp_multilinear_map LinearMap.compMultilinearMap
+-/
 
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 @[simp]
 theorem coe_compMultilinearMap (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) :
     ⇑(g.compMultilinearMap f) = g ∘ f :=
   rfl
 #align linear_map.coe_comp_multilinear_map LinearMap.coe_compMultilinearMap
 
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 @[simp]
 theorem compMultilinearMap_apply (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     g.compMultilinearMap f m = g (f m) :=
   rfl
 #align linear_map.comp_multilinear_map_apply LinearMap.compMultilinearMap_apply
 
+#print LinearMap.subtype_compMultilinearMap_codRestrict /-
 /-- The multilinear version of `linear_map.subtype_comp_cod_restrict` -/
 @[simp]
 theorem subtype_compMultilinearMap_codRestrict (f : MultilinearMap R M₁ M₂) (p : Submodule R M₂)
     (h) : p.Subtype.compMultilinearMap (f.codRestrict p h) = f :=
   MultilinearMap.ext fun v => rfl
 #align linear_map.subtype_comp_multilinear_map_cod_restrict LinearMap.subtype_compMultilinearMap_codRestrict
+-/
 
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+Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrictₓ'. -/
 /-- The multilinear version of `linear_map.comp_cod_restrict` -/
 @[simp]
 theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : MultilinearMap R M₁ M₂)
@@ -822,6 +1084,12 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
 
 variable {ι₁ ι₂ : Type _}
 
+/- warning: linear_map.comp_multilinear_map_dom_dom_congr -> LinearMap.compMultilinearMap_domDomCongr is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.comp_multilinear_map_dom_dom_congr LinearMap.compMultilinearMap_domDomCongrₓ'. -/
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
     (f : MultilinearMap R (fun i : ι₁ => M') M₂) :
@@ -840,6 +1108,7 @@ section CommSemiring
 variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [∀ i, AddCommMonoid (M i)] [AddCommMonoid M₂]
   [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂] (f f' : MultilinearMap R M₁ M₂)
 
+#print MultilinearMap.map_piecewise_smul /-
 /-- If one multiplies by `c i` the coordinates in a finset `s`, then the image under a multilinear
 map is multiplied by `∏ i in s, c i`. This is mainly an auxiliary statement to prove the result when
 `s = univ`, given in `map_smul_univ`, although it can be useful in its own right as it does not
@@ -861,14 +1130,18 @@ theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (
   rw [s.piecewise_insert, f.map_smul, A, Hrec]
   simp [j_not_mem_s, mul_smul]
 #align multilinear_map.map_piecewise_smul MultilinearMap.map_piecewise_smul
+-/
 
+#print MultilinearMap.map_smul_univ /-
 /-- Multiplicativity of a multilinear map along all coordinates at the same time,
 writing `f (λi, c i • m i)` as `(∏ i, c i) • f m`. -/
 theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
     (f fun i => c i • m i) = (∏ i, c i) • f m := by
   classical simpa using map_piecewise_smul f c m Finset.univ
 #align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
+-/
 
+#print MultilinearMap.map_update_smul /-
 @[simp]
 theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
     f (update (c • m) i x) = c ^ (Fintype.card ι - 1) • f (update m i x) :=
@@ -879,6 +1152,7 @@ theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : 
     map_piecewise_smul f _ _ _
   simpa [← Function.update_smul c m] using this
 #align multilinear_map.map_update_smul MultilinearMap.map_update_smul
+-/
 
 section DistribMulAction
 
@@ -911,6 +1185,7 @@ instance [NoZeroSMulDivisors R' M₃] : NoZeroSMulDivisors R' (MultilinearMap A
 
 variable (M₂ M₃ R' A)
 
+#print MultilinearMap.domDomCongrLinearEquiv /-
 /-- `multilinear_map.dom_dom_congr` as a `linear_equiv`. -/
 @[simps apply symm_apply]
 def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
@@ -922,9 +1197,11 @@ def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
       ext
       simp }
 #align multilinear_map.dom_dom_congr_linear_equiv MultilinearMap.domDomCongrLinearEquiv
+-/
 
 variable (R M₁)
 
+#print MultilinearMap.domDomCongrLinearEquiv' /-
 /-- The dependent version of `multilinear_map.dom_dom_congr_linear_equiv`. -/
 @[simps apply symm_apply]
 def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
@@ -971,7 +1248,9 @@ def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
     ext
     simp only [comp_app, coe_mk, Equiv.apply_symm_apply]
 #align multilinear_map.dom_dom_congr_linear_equiv' MultilinearMap.domDomCongrLinearEquiv'
+-/
 
+#print MultilinearMap.constLinearEquivOfIsEmpty /-
 /-- The space of constant maps is equivalent to the space of maps that are multilinear with respect
 to an empty family. -/
 @[simps]
@@ -984,6 +1263,7 @@ def constLinearEquivOfIsEmpty [IsEmpty ι] : M₂ ≃ₗ[R] MultilinearMap R M
   left_inv _ := rfl
   right_inv f := ext fun x => MultilinearMap.congr_arg f <| Subsingleton.elim _ _
 #align multilinear_map.const_linear_equiv_of_is_empty MultilinearMap.constLinearEquivOfIsEmpty
+-/
 
 end Module
 
@@ -991,6 +1271,7 @@ section
 
 variable (R ι) (A : Type _) [CommSemiring A] [Algebra R A] [Fintype ι]
 
+#print MultilinearMap.mkPiAlgebra /-
 /-- Given an `R`-algebra `A`, `mk_pi_algebra` is the multilinear map on `A^ι` associating
 to `m` the product of all the `m i`.
 
@@ -1002,9 +1283,16 @@ protected def mkPiAlgebra : MultilinearMap R (fun i : ι => A) A
   map_add' m i x y := by simp [Finset.prod_update_of_mem, add_mul]
   map_smul' m i c x := by simp [Finset.prod_update_of_mem]
 #align multilinear_map.mk_pi_algebra MultilinearMap.mkPiAlgebra
+-/
 
 variable {R A ι}
 
+/- warning: multilinear_map.mk_pi_algebra_apply -> MultilinearMap.mkPiAlgebra_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_apply MultilinearMap.mkPiAlgebra_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebra_apply (m : ι → A) : MultilinearMap.mkPiAlgebra R ι A m = ∏ i, m i :=
   rfl
@@ -1016,6 +1304,7 @@ section
 
 variable (R n) (A : Type _) [Semiring A] [Algebra R A]
 
+#print MultilinearMap.mkPiAlgebraFin /-
 /-- Given an `R`-algebra `A`, `mk_pi_algebra_fin` is the multilinear map on `A^n` associating
 to `m` the product of all the `m i`.
 
@@ -1038,50 +1327,72 @@ protected def mkPiAlgebraFin : MultilinearMap R (fun i : Fin n => A) A
       simpa using List.indexOf_lt_length.2 (List.mem_finRange i)
     simp [List.ofFn_eq_map, (List.nodup_finRange n).map_update, List.prod_set, this]
 #align multilinear_map.mk_pi_algebra_fin MultilinearMap.mkPiAlgebraFin
+-/
 
 variable {R A n}
 
+/- warning: multilinear_map.mk_pi_algebra_fin_apply -> MultilinearMap.mkPiAlgebraFin_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_applyₓ'. -/
 @[simp]
 theorem mkPiAlgebraFin_apply (m : Fin n → A) :
     MultilinearMap.mkPiAlgebraFin R n A m = (List.ofFn m).Prod :=
   rfl
 #align multilinear_map.mk_pi_algebra_fin_apply MultilinearMap.mkPiAlgebraFin_apply
 
+/- warning: multilinear_map.mk_pi_algebra_fin_apply_const -> MultilinearMap.mkPiAlgebraFin_apply_const is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_constₓ'. -/
 theorem mkPiAlgebraFin_apply_const (a : A) :
     (MultilinearMap.mkPiAlgebraFin R n A fun _ => a) = a ^ n := by simp
 #align multilinear_map.mk_pi_algebra_fin_apply_const MultilinearMap.mkPiAlgebraFin_apply_const
 
 end
 
+#print MultilinearMap.smulRight /-
 /-- Given an `R`-multilinear map `f` taking values in `R`, `f.smul_right z` is the map
 sending `m` to `f m • z`. -/
 def smulRight (f : MultilinearMap R M₁ R) (z : M₂) : MultilinearMap R M₁ M₂ :=
   (LinearMap.smulRight LinearMap.id z).compMultilinearMap f
 #align multilinear_map.smul_right MultilinearMap.smulRight
+-/
 
+#print MultilinearMap.smulRight_apply /-
 @[simp]
 theorem smulRight_apply (f : MultilinearMap R M₁ R) (z : M₂) (m : ∀ i, M₁ i) :
     f.smul_right z m = f m • z :=
   rfl
 #align multilinear_map.smul_right_apply MultilinearMap.smulRight_apply
+-/
 
 variable (R ι)
 
+#print MultilinearMap.mkPiRing /-
 /-- The canonical multilinear map on `R^ι` when `ι` is finite, associating to `m` the product of
 all the `m i` (multiplied by a fixed reference element `z` in the target module). See also
 `mk_pi_algebra` for a more general version. -/
 protected def mkPiRing [Fintype ι] (z : M₂) : MultilinearMap R (fun i : ι => R) M₂ :=
   (MultilinearMap.mkPiAlgebra R ι R).smul_right z
 #align multilinear_map.mk_pi_ring MultilinearMap.mkPiRing
+-/
 
 variable {R ι}
 
+#print MultilinearMap.mkPiRing_apply /-
 @[simp]
 theorem mkPiRing_apply [Fintype ι] (z : M₂) (m : ι → R) :
     (MultilinearMap.mkPiRing R ι z : (ι → R) → M₂) m = (∏ i, m i) • z :=
   rfl
 #align multilinear_map.mk_pi_ring_apply MultilinearMap.mkPiRing_apply
+-/
 
+#print MultilinearMap.mkPiRing_apply_one_eq_self /-
 theorem mkPiRing_apply_one_eq_self [Fintype ι] (f : MultilinearMap R (fun i : ι => R) M₂) :
     MultilinearMap.mkPiRing R ι (f fun i => 1) = f :=
   by
@@ -1092,7 +1403,9 @@ theorem mkPiRing_apply_one_eq_self [Fintype ι] (f : MultilinearMap R (fun i : 
   conv_rhs => rw [this, f.map_smul_univ]
   rfl
 #align multilinear_map.mk_pi_ring_apply_one_eq_self MultilinearMap.mkPiRing_apply_one_eq_self
+-/
 
+#print MultilinearMap.mkPiRing_eq_iff /-
 theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
     MultilinearMap.mkPiRing R ι z₁ = MultilinearMap.mkPiRing R ι z₂ ↔ z₁ = z₂ :=
   by
@@ -1102,11 +1415,24 @@ theorem mkPiRing_eq_iff [Fintype ι] {z₁ z₂ : M₂} :
   · intro x
     simp [h]
 #align multilinear_map.mk_pi_ring_eq_iff MultilinearMap.mkPiRing_eq_iff
+-/
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zeroₓ'. -/
 theorem mkPiRing_zero [Fintype ι] : MultilinearMap.mkPiRing R ι (0 : M₂) = 0 := by
   ext <;> rw [mk_pi_ring_apply, smul_zero, MultilinearMap.zero_apply]
 #align multilinear_map.mk_pi_ring_zero MultilinearMap.mkPiRing_zero
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iffₓ'. -/
 theorem mkPiRing_eq_zero_iff [Fintype ι] (z : M₂) : MultilinearMap.mkPiRing R ι z = 0 ↔ z = 0 := by
   rw [← mk_pi_ring_zero, mk_pi_ring_eq_iff]
 #align multilinear_map.mk_pi_ring_eq_zero_iff MultilinearMap.mkPiRing_eq_zero_iff
@@ -1121,6 +1447,12 @@ variable [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommGroup M₂] [∀ i
 instance : Neg (MultilinearMap R M₁ M₂) :=
   ⟨fun f => ⟨fun m => -f m, fun _ m i x y => by simp [add_comm], fun _ m i c x => by simp⟩⟩
 
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 @[simp]
 theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
   rfl
@@ -1133,6 +1465,12 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
       simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]
       cc, fun _ m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
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 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
   rfl
@@ -1162,6 +1500,12 @@ section AddCommGroup
 variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i, Module R (M₁ i)]
   [Module R M₂] (f : MultilinearMap R M₁ M₂)
 
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 @[simp]
 theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
     f (update m i (-x)) = -f (update m i x) :=
@@ -1169,6 +1513,12 @@ theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
     rw [← MultilinearMap.map_add, add_left_neg, f.map_coord_zero i (update_same i 0 m)]
 #align multilinear_map.map_neg MultilinearMap.map_neg
 
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 @[simp]
 theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x - y)) = f (update m i x) - f (update m i y) := by
@@ -1182,6 +1532,7 @@ section CommSemiring
 variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)]
   [Module R M₂]
 
+#print MultilinearMap.piRingEquiv /-
 /-- When `ι` is finite, multilinear maps on `R^ι` with values in `M₂` are in bijection with `M₂`,
 as such a multilinear map is completely determined by its value on the constant vector made of ones.
 We register this bijection as a linear equivalence in `multilinear_map.pi_ring_equiv`. -/
@@ -1198,6 +1549,7 @@ protected def piRingEquiv [Fintype ι] : M₂ ≃ₗ[R] MultilinearMap R (fun i
   left_inv z := by simp
   right_inv f := f.mkPiRing_apply_one_eq_self
 #align multilinear_map.pi_ring_equiv MultilinearMap.piRingEquiv
+-/
 
 end CommSemiring
 
@@ -1228,6 +1580,12 @@ variable {R M M₂} [CommSemiring R] [∀ i, AddCommMonoid (M i)] [AddCommMonoid
 /-! #### Left currying -/
 
 
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 /-- Given a linear map `f` from `M 0` to multilinear maps on `n` variables,
 construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (m 0) (tail m)`-/
@@ -1257,12 +1615,24 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       rw [tail_update_succ, tail_update_succ, MultilinearMap.map_smul]
 #align linear_map.uncurry_left LinearMap.uncurryLeft
 
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 @[simp]
 theorem LinearMap.uncurryLeft_apply (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂)
     (m : ∀ i, M i) : f.uncurryLeft m = f (m 0) (tail m) :=
   rfl
 #align linear_map.uncurry_left_apply LinearMap.uncurryLeft_apply
 
+/- warning: multilinear_map.curry_left -> MultilinearMap.curryLeft is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_left MultilinearMap.curryLeftₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the first variable to obtain
 a linear map into multilinear maps in `n` variables, given by `x ↦ (m ↦ f (cons x m))`. -/
 def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
@@ -1286,12 +1656,24 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
     exact cons_smul f m c x
 #align multilinear_map.curry_left MultilinearMap.curryLeft
 
+/- warning: multilinear_map.curry_left_apply -> MultilinearMap.curryLeft_apply is a dubious translation:
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 @[simp]
 theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
     (m : ∀ i : Fin n, M i.succ) : f.curryLeft x m = f (cons x m) :=
   rfl
 #align multilinear_map.curry_left_apply MultilinearMap.curryLeft_apply
 
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 @[simp]
 theorem LinearMap.curry_uncurryLeft
     (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f :=
@@ -1301,15 +1683,23 @@ theorem LinearMap.curry_uncurryLeft
   rw [cons_zero]
 #align linear_map.curry_uncurry_left LinearMap.curry_uncurryLeft
 
+#print MultilinearMap.uncurry_curryLeft /-
 @[simp]
 theorem MultilinearMap.uncurry_curryLeft (f : MultilinearMap R M M₂) :
     f.curryLeft.uncurryLeft = f := by
   ext m
   simp
 #align multilinear_map.uncurry_curry_left MultilinearMap.uncurry_curryLeft
+-/
 
 variable (R M M₂)
 
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+but is expected to have type
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_inst_7))))
+Case conversion may be inaccurate. Consider using '#align multilinear_curry_left_equiv multilinearCurryLeftEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from `M 0` to the space of multilinear maps on
 `Π(i : fin n), M i.succ `, by separating the first variable. We register this isomorphism as a
@@ -1337,6 +1727,12 @@ variable {R M M₂}
 /-! #### Right currying -/
 
 
+/- warning: multilinear_map.uncurry_right -> MultilinearMap.uncurryRight is a dubious translation:
+lean 3 declaration is
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Nat.hasOne))))))) (Fin.castSucc n) i)) (LinearMap.module.{u1, u1, u1, u2, u3} R R R (M (Fin.last n)) M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (_inst_2 (Fin.last n)) _inst_4 (_inst_5 (Fin.last n)) _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_7 (MultilinearMap.uncurryRight._proof_1.{u1, u3} R M₂ _inst_1 _inst_4 _inst_7))) -> (MultilinearMap.{u1, u2, u3, 0} R (Fin (Nat.succ n)) M M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin (Nat.succ n)) => _inst_2 i) _inst_4 (fun (i : Fin (Nat.succ n)) => _inst_5 i) _inst_7)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right MultilinearMap.uncurryRightₓ'. -/
 /-- Given a multilinear map `f` in `n` variables to the space of linear maps from `M (last n)` to
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (init m) (m (last n))`-/
@@ -1375,6 +1771,12 @@ def MultilinearMap.uncurryRight
       rw [update_same, update_same, init_update_last, init_update_last, map_smul]
 #align multilinear_map.uncurry_right MultilinearMap.uncurryRight
 
+/- warning: multilinear_map.uncurry_right_apply -> MultilinearMap.uncurryRight_apply is a dubious translation:
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(Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7))))) f (Fin.init.{u2} n M m)) (m (Fin.last n)))
+Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) (m : ∀ i, M i) :
@@ -1382,6 +1784,12 @@ theorem MultilinearMap.uncurryRight_apply
   rfl
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
 
+/- warning: multilinear_map.curry_right -> MultilinearMap.curryRight is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right MultilinearMap.curryRightₓ'. -/
 /-- Given a multilinear map `f` in `n+1` variables, split the last variable to obtain
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
@@ -1404,12 +1812,24 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
     rw [snoc_update, snoc_update, f.map_smul]
 #align multilinear_map.curry_right MultilinearMap.curryRight
 
+/- warning: multilinear_map.curry_right_apply -> MultilinearMap.curryRight_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_right_apply MultilinearMap.curryRight_applyₓ'. -/
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.cast_succ)
     (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
   rfl
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
 
+/- warning: multilinear_map.curry_uncurry_right -> MultilinearMap.curry_uncurryRight is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRightₓ'. -/
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) :
@@ -1419,15 +1839,23 @@ theorem MultilinearMap.curry_uncurryRight
   rw [init_snoc]
 #align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRight
 
+#print MultilinearMap.uncurry_curryRight /-
 @[simp]
 theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
     f.curryRight.uncurryRight = f := by
   ext m
   simp
 #align multilinear_map.uncurry_curry_right MultilinearMap.uncurry_curryRight
+-/
 
 variable (R M M₂)
 
+/- warning: multilinear_curry_right_equiv -> multilinearCurryRightEquiv 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 multilinear_curry_right_equiv multilinearCurryRightEquivₓ'. -/
 /-- The space of multilinear maps on `Π(i : fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from the space of multilinear maps on `Π(i : fin n), M i.cast_succ` to the
 space of linear maps on `M (last n)`, by separating the last variable. We register this isomorphism
@@ -1456,6 +1884,7 @@ namespace MultilinearMap
 
 variable {ι' : Type _} {R M₂}
 
+#print MultilinearMap.currySum /-
 /-- A multilinear map on `Π i : ι ⊕ ι', M'` defines a multilinear map on `Π i : ι, M'`
 taking values in the space of multilinear maps on `Π i : ι', M'`. -/
 def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
@@ -1482,13 +1911,21 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
       letI := Classical.decEq ι'
       simp only [MultilinearMap.coe_mk, smul_apply, ← Sum.update_elim_inl, f.map_smul]
 #align multilinear_map.curry_sum MultilinearMap.currySum
+-/
 
+/- warning: multilinear_map.curry_sum_apply -> MultilinearMap.currySum_apply is a dubious translation:
+lean 3 declaration is
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 @[simp]
 theorem currySum_apply (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) (u : ι → M')
     (v : ι' → M') : f.currySum u v = f (Sum.elim u v) :=
   rfl
 #align multilinear_map.curry_sum_apply MultilinearMap.currySum_apply
 
+#print MultilinearMap.uncurrySum /-
 /-- A multilinear map on `Π i : ι, M'` taking values in the space of multilinear maps
 on `Π i : ι', M'` defines a multilinear map on `Π i : ι ⊕ ι', M'`. -/
 def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x : ι' => M') M₂)) :
@@ -1510,7 +1947,14 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
       simp only [MultilinearMap.map_smul, smul_apply, Sum.update_inl_comp_inl,
         Sum.update_inl_comp_inr, Sum.update_inr_comp_inl, Sum.update_inr_comp_inr]
 #align multilinear_map.uncurry_sum MultilinearMap.uncurrySum
+-/
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.uncurry_sum_aux_apply MultilinearMap.uncurrySum_aux_applyₓ'. -/
 @[simp]
 theorem uncurrySum_aux_apply
     (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x : ι' => M') M₂))
@@ -1520,6 +1964,7 @@ theorem uncurrySum_aux_apply
 
 variable (ι ι' R M₂ M')
 
+#print MultilinearMap.currySumEquiv /-
 /-- Linear equivalence between the space of multilinear maps on `Π i : ι ⊕ ι', M'` and the space
 of multilinear maps on `Π i : ι, M'` taking values in the space of multilinear maps
 on `Π i : ι', M'`. -/
@@ -1540,14 +1985,27 @@ def currySumEquiv :
     ext
     rfl
 #align multilinear_map.curry_sum_equiv MultilinearMap.currySumEquiv
+-/
 
 variable {ι ι' R M₂ M'}
 
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquivₓ'. -/
 @[simp]
 theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
   rfl
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
 
+/- warning: multilinear_map.coe_curr_sum_equiv_symm -> MultilinearMap.coe_curr_sum_equiv_symm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_curr_sum_equiv_symmₓ'. -/
 @[simp]
 theorem coe_curr_sum_equiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
   rfl
@@ -1555,6 +2013,12 @@ theorem coe_curr_sum_equiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = unc
 
 variable (R M₂ M')
 
+/- warning: multilinear_map.curry_fin_finset -> MultilinearMap.curryFinFinset 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 multilinear_map.curry_fin_finset MultilinearMap.curryFinFinsetₓ'. -/
 /-- If `s : finset (fin n)` is a finite set of cardinality `k` and its complement has cardinality
 `l`, then the space of multilinear maps on `λ i : fin n, M'` is isomorphic to the space of
 multilinear maps on `λ i : fin k, M'` taking values in the space of multilinear maps
@@ -1568,6 +2032,12 @@ def curryFinFinset {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : s
 
 variable {R M₂ M'}
 
+/- warning: multilinear_map.curry_fin_finset_apply -> MultilinearMap.curryFinFinset_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l)
     (f : MultilinearMap R (fun x : Fin n => M') M₂) (mk : Fin k → M') (ml : Fin l → M') :
@@ -1576,6 +2046,12 @@ theorem curryFinFinset_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k
   rfl
 #align multilinear_map.curry_fin_finset_apply MultilinearMap.curryFinFinset_apply
 
+/- warning: multilinear_map.curry_fin_finset_symm_apply -> MultilinearMap.curryFinFinset_symm_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_applyₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1587,6 +2063,12 @@ theorem curryFinFinset_symm_apply {k l n : ℕ} {s : Finset (Fin n)} (hk : s.car
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply MultilinearMap.curryFinFinset_symm_apply
 
+/- warning: multilinear_map.curry_fin_finset_symm_apply_piecewise_const -> MultilinearMap.curryFinFinset_symm_apply_piecewise_const is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1604,6 +2086,12 @@ theorem curryFinFinset_symm_apply_piecewise_const {k l n : ℕ} {s : Finset (Fin
     exact Finset.mem_compl.1 (Finset.orderEmbOfFin_mem _ _ _)
 #align multilinear_map.curry_fin_finset_symm_apply_piecewise_const MultilinearMap.curryFinFinset_symm_apply_piecewise_const
 
+/- warning: multilinear_map.curry_fin_finset_symm_apply_const -> MultilinearMap.curryFinFinset_symm_apply_const is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l)
@@ -1612,6 +2100,12 @@ theorem curryFinFinset_symm_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk :
   rfl
 #align multilinear_map.curry_fin_finset_symm_apply_const MultilinearMap.curryFinFinset_symm_apply_const
 
+/- warning: multilinear_map.curry_fin_finset_apply_const -> MultilinearMap.curryFinFinset_apply_const is a dubious translation:
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M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))) (smulCommClass_self.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, max u2 u3} R (MultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin l) => _inst_3) _inst_4 (fun (i : Fin l) => _inst_6) _inst_7) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MultilinearMap.instZeroMultilinearMap.{u1, u2, u3, 0} R (Fin l) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.25382 : Fin l) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin 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R M₂ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u3} R M₂ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M₂ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_7)))))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHomInvPair.ids.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (MultilinearMap.curryFinFinset.{u1, u2, u3} R M₂ M' _inst_1 _inst_3 _inst_4 _inst_6 _inst_7 k l n s hk hl) f) (fun (_x : Fin k) => x)) (fun (_x : Fin l) => y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MultilinearMap.{u1, u2, u3, 0} R (Fin n) (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.26487 : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) ((Fin n) -> M') (fun (f : (Fin n) -> M') => (fun (x._@.Mathlib.LinearAlgebra.Multilinear.Basic._hyg.419 : (Fin n) -> M') => M₂) f) (MultilinearMap.instFunLikeMultilinearMapForAll.{u1, u2, u3, 0} R (Fin n) (fun (x : Fin n) => M') M₂ (CommSemiring.toSemiring.{u1} R _inst_1) (fun (i : Fin n) => _inst_3) _inst_4 (fun (i : Fin n) => _inst_6) _inst_7) f (Finset.piecewise.{0, succ u2} (Fin n) (fun (i : Fin n) => M') s (fun (_x : Fin n) => x) (fun (_x : Fin n) => y) (fun (j : Fin n) => Finset.decidableMem.{0} (Fin n) (fun (a : Fin n) (b : Fin n) => instDecidableEqFin n a b) j s)))
+Case conversion may be inaccurate. Consider using '#align multilinear_map.curry_fin_finset_apply_const MultilinearMap.curryFinFinset_apply_constₓ'. -/
 @[simp]
 theorem curryFinFinset_apply_const {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k)
     (hl : sᶜ.card = l) (f : MultilinearMap R (fun x : Fin n => M') M₂) (x y : M') :
@@ -1634,6 +2128,7 @@ section Submodule
 variable {R M M₂} [Ring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M'] [AddCommMonoid M₂]
   [∀ i, Module R (M₁ i)] [Module R M'] [Module R M₂]
 
+#print MultilinearMap.map /-
 /-- The pushforward of an indexed collection of submodule `p i ⊆ M₁ i` by `f : M₁ → M₂`.
 
 Note that this is not a submodule - it is not closed under addition. -/
@@ -1650,17 +2145,22 @@ def map [Nonempty ι] (f : MultilinearMap R M₁ M₂) (p : ∀ i, Submodule R (
       exact hx j
     · rw [f.map_smul, update_eq_self]
 #align multilinear_map.map MultilinearMap.map
+-/
 
+#print MultilinearMap.map_nonempty /-
 /-- The map is always nonempty. This lemma is needed to apply `sub_mul_action.zero_mem`. -/
 theorem map_nonempty [Nonempty ι] (f : MultilinearMap R M₁ M₂) (p : ∀ i, Submodule R (M₁ i)) :
     (map f p : Set M₂).Nonempty :=
   ⟨f 0, 0, fun i => (p i).zero_mem, rfl⟩
 #align multilinear_map.map_nonempty MultilinearMap.map_nonempty
+-/
 
+#print MultilinearMap.range /-
 /-- The range of a multilinear map, closed under scalar multiplication. -/
 def range [Nonempty ι] (f : MultilinearMap R M₁ M₂) : SubMulAction R M₂ :=
   f.map fun i => ⊤
 #align multilinear_map.range MultilinearMap.range
+-/
 
 end Submodule
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit 44b58b42794e5abe2bf86397c38e26b587e07e59
+! leanprover-community/mathlib commit ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -50,11 +50,29 @@ in linear functions), called respectively `multilinear_curry_left_equiv` and
 
 Expressing that a map is linear along the `i`-th coordinate when all other coordinates are fixed
 can be done in two (equivalent) different ways:
+
 * fixing a vector `m : Π(j : ι - i), M₁ j.val`, and then choosing separately the `i`-th coordinate
 * fixing a vector `m : Πj, M₁ j`, and then modifying its `i`-th coordinate
+
 The second way is more artificial as the value of `m` at `i` is not relevant, but it has the
 advantage of avoiding subtype inclusion issues. This is the definition we use, based on
 `function.update` that allows to change the value of `m` at `i`.
+
+Note that the use of `function.update` requires a `decidable_eq ι` term to appear somewhere in the
+statement of `multilinear_map.map_add'` and `multilinear_map.map_smul'`. Three possible choices
+are:
+
+1. Requiring `decidable_eq ι` as an argument to `multilinear_map` (as we did originally).
+2. Using `classical.dec_eq ι` in the statement of `map_add'` and `map_smul'`.
+3. Quantifying over all possible `decidable_eq ι` instances in the statement of `map_add'` and
+   `map_smul'`.
+
+Option 1 works fine, but puts unecessary constraints on the user (the zero map certainly does not
+need decidability). Option 2 looks great at first, but in the common case when `ι = fin n` it
+introduces non-defeq decidability instance diamonds within the context of proving `map_add'` and
+`map_smul'`, of the form `fin.decidable_eq n = classical.dec_eq (fin n)`. Option 3 of course does
+something similar, but of the form `fin.decidable_eq n = _inst`, which is much easier to clean up
+since `_inst` is a free variable and so the equality can just be substituted.
 -/
 
 
@@ -65,19 +83,18 @@ open BigOperators
 universe u v v' v₁ v₂ v₃ w u'
 
 variable {R : Type u} {ι : Type u'} {n : ℕ} {M : Fin n.succ → Type v} {M₁ : ι → Type v₁}
-  {M₂ : Type v₂} {M₃ : Type v₃} {M' : Type v'} [DecidableEq ι]
+  {M₂ : Type v₂} {M₃ : Type v₃} {M' : Type v'}
 
 /-- Multilinear maps over the ring `R`, from `Πi, M₁ i` to `M₂` where `M₁ i` and `M₂` are modules
 over `R`. -/
-structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M₂ : Type w) [DecidableEq ι]
-  [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)]
-  [Module R M₂] where
+structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M₂ : Type w) [Semiring R]
+  [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)] [Module R M₂] where
   toFun : (∀ i, M₁ i) → M₂
   map_add' :
-    ∀ (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i),
+    ∀ [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i),
       to_fun (update m i (x + y)) = to_fun (update m i x) + to_fun (update m i y)
   map_smul' :
-    ∀ (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i),
+    ∀ [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i),
       to_fun (update m i (c • x)) = c • to_fun (update m i x)
 #align multilinear_map MultilinearMap
 
@@ -143,25 +160,25 @@ theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
 @[simp]
-protected theorem map_add (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
+protected theorem map_add [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x + y)) = f (update m i x) + f (update m i y) :=
   f.map_add' m i x y
 #align multilinear_map.map_add MultilinearMap.map_add
 
 @[simp]
-protected theorem map_smul (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
+protected theorem map_smul [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
     f (update m i (c • x)) = c • f (update m i x) :=
   f.map_smul' m i c x
 #align multilinear_map.map_smul MultilinearMap.map_smul
 
-theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 :=
-  by
-  have : (0 : R) • (0 : M₁ i) = 0 := by simp
-  rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
+theorem map_coord_zero {m : ∀ i, M₁ i} (i : ι) (h : m i = 0) : f m = 0 := by
+  classical
+    have : (0 : R) • (0 : M₁ i) = 0 := by simp
+    rw [← update_eq_self i m, h, ← this, f.map_smul, zero_smul]
 #align multilinear_map.map_coord_zero MultilinearMap.map_coord_zero
 
 @[simp]
-theorem map_update_zero (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
+theorem map_update_zero [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : f (update m i 0) = 0 :=
   f.map_coord_zero i (update_same i 0 m)
 #align multilinear_map.map_update_zero MultilinearMap.map_update_zero
 
@@ -174,7 +191,7 @@ theorem map_zero [Nonempty ι] : f 0 = 0 :=
 
 instance : Add (MultilinearMap R M₁ M₂) :=
   ⟨fun f f' =>
-    ⟨fun x => f x + f' x, fun m i x y => by simp [add_left_comm, add_assoc], fun m i c x => by
+    ⟨fun x => f x + f' x, fun m i x y => by simp [add_left_comm, add_assoc], fun _ m i c x => by
       simp [smul_add]⟩⟩
 
 @[simp]
@@ -183,7 +200,7 @@ theorem add_apply (m : ∀ i, M₁ i) : (f + f') m = f m + f' m :=
 #align multilinear_map.add_apply MultilinearMap.add_apply
 
 instance : Zero (MultilinearMap R M₁ M₂) :=
-  ⟨⟨fun _ => 0, fun m i x y => by simp, fun m i c x => by simp⟩⟩
+  ⟨⟨fun _ => 0, fun _ m i x y => by simp, fun _ m i c x => by simp⟩⟩
 
 instance : Inhabited (MultilinearMap R M₁ M₂) :=
   ⟨0⟩
@@ -200,7 +217,8 @@ variable {R' A : Type _} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [Di
 
 instance : SMul R' (MultilinearMap A M₁ M₂) :=
   ⟨fun c f =>
-    ⟨fun m => c • f m, fun m i x y => by simp [smul_add], fun l i x d => by simp [← smul_comm x c]⟩⟩
+    ⟨fun m => c • f m, fun _ m i x y => by simp [smul_add], fun _ l i x d => by
+      simp [← smul_comm x c]⟩⟩
 
 @[simp]
 theorem smul_apply (f : MultilinearMap A M₁ M₂) (c : R') (m : ∀ i, M₁ i) : (c • f) m = c • f m :=
@@ -231,7 +249,7 @@ theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀
 /-- If `f` is a multilinear map, then `f.to_linear_map m i` is the linear map obtained by fixing all
 coordinates but `i` equal to those of `m`, and varying the `i`-th coordinate. -/
 @[simps]
-def toLinearMap (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R] M₂
+def toLinearMap [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R] M₂
     where
   toFun x := f (update m i x)
   map_add' x y := by simp
@@ -242,8 +260,8 @@ def toLinearMap (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R] M₂
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
     where
   toFun m := (f m, g m)
-  map_add' m i x y := by simp
-  map_smul' m i c x := by simp
+  map_add' _ m i x y := by simp
+  map_smul' _ m i c x := by simp
 #align multilinear_map.prod MultilinearMap.prod
 
 /-- Combine a family of multilinear maps with the same domain and codomains `M' i` into a
@@ -253,8 +271,8 @@ def pi {ι' : Type _} {M' : ι' → Type _} [∀ i, AddCommMonoid (M' i)] [∀ i
     (f : ∀ i, MultilinearMap R M₁ (M' i)) : MultilinearMap R M₁ (∀ i, M' i)
     where
   toFun m i := f i m
-  map_add' m i x y := funext fun j => (f j).map_add _ _ _ _
-  map_smul' m i c x := funext fun j => (f j).map_smul _ _ _ _
+  map_add' _ m i x y := funext fun j => (f j).map_add _ _ _ _
+  map_smul' _ m i c x := funext fun j => (f j).map_smul _ _ _ _
 #align multilinear_map.pi MultilinearMap.pi
 
 section
@@ -267,10 +285,10 @@ variable (R M₂)
 def ofSubsingleton [Subsingleton ι] (i' : ι) : MultilinearMap R (fun _ : ι => M₂) M₂
     where
   toFun := Function.eval i'
-  map_add' m i x y := by
+  map_add' _ m i x y := by
     rw [Subsingleton.elim i i']
     simp only [Function.eval, Function.update_same]
-  map_smul' m i r x := by
+  map_smul' _ m i r x := by
     rw [Subsingleton.elim i i']
     simp only [Function.eval, Function.update_same]
 #align multilinear_map.of_subsingleton MultilinearMap.ofSubsingleton
@@ -282,8 +300,8 @@ variable (M₁) {M₂}
 def constOfIsEmpty [IsEmpty ι] (m : M₂) : MultilinearMap R M₁ M₂
     where
   toFun := Function.const _ m
-  map_add' m := isEmptyElim
-  map_smul' m := isEmptyElim
+  map_add' _ m := isEmptyElim
+  map_smul' _ m := isEmptyElim
 #align multilinear_map.const_of_is_empty MultilinearMap.constOfIsEmpty
 
 end
@@ -297,11 +315,12 @@ def restr {k n : ℕ} (f : MultilinearMap R (fun i : Fin n => M') M₂) (s : Fin
     (hk : s.card = k) (z : M') : MultilinearMap R (fun i : Fin k => M') M₂
     where
   toFun v := f fun j => if h : j ∈ s then v ((s.orderIsoOfFin hk).symm ⟨j, h⟩) else z
-  map_add' v i x y :=
+  map_add' _ v i x y :=
     by
     erw [dite_comp_equiv_update, dite_comp_equiv_update, dite_comp_equiv_update]
     simp
-  map_smul' v i c x := by
+  map_smul' _ v i c x :=
+    by
     erw [dite_comp_equiv_update, dite_comp_equiv_update]
     simp
 #align multilinear_map.restr MultilinearMap.restr
@@ -352,16 +371,16 @@ then `g (f₁ m₁, ..., fₙ mₙ)` is again a multilinear map, that we call
 def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i) : MultilinearMap R M₁ M₂
     where
   toFun m := g fun i => f i (m i)
-  map_add' m i x y :=
-    by
+  map_add' _ m i x y := by
+    skip
     have : ∀ j z, f j (update m i z j) = update (fun k => f k (m k)) i (f i z) j := fun j z =>
       Function.apply_update (fun k => f k) _ _ _ _
-    simp [this]
-  map_smul' m i c x :=
-    by
+    · simp [this]
+  map_smul' _ m i c x := by
+    skip
     have : ∀ j z, f j (update m i z j) = update (fun k => f k (m k)) i (f i z) j := fun j z =>
       Function.apply_update (fun k => f k) _ _ _ _
-    simp [this]
+    · simp [this]
 #align multilinear_map.comp_linear_map MultilinearMap.compLinearMap
 
 @[simp]
@@ -421,7 +440,7 @@ the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along
 `t`. This is mainly an auxiliary statement to prove the result when `t = univ`, given in
 `map_add_univ`, although it can be useful in its own right as it does not require the index set `ι`
 to be finite.-/
-theorem map_piecewise_add (m m' : ∀ i, M₁ i) (t : Finset ι) :
+theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι) :
     f (t.piecewise (m + m') m') = ∑ s in t.powerset, f (s.piecewise m m') :=
   by
   revert m'
@@ -459,7 +478,7 @@ theorem map_piecewise_add (m m' : ∀ i, M₁ i) (t : Finset ι) :
 
 /-- Additivity of a multilinear map along all coordinates at the same time,
 writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
-theorem map_add_univ [Fintype ι] (m m' : ∀ i, M₁ i) :
+theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
     f (m + m') = ∑ s : Finset ι, f (s.piecewise m m') := by
   simpa using f.map_piecewise_add m m' Finset.univ
 #align multilinear_map.map_add_univ MultilinearMap.map_add_univ
@@ -468,8 +487,6 @@ section ApplySum
 
 variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (α i))
 
-open Classical
-
 open Fintype Finset
 
 /-- If `f` is multilinear, then `f (Σ_{j₁ ∈ A₁} g₁ j₁, ..., Σ_{jₙ ∈ Aₙ} gₙ jₙ)` is the sum of
@@ -477,9 +494,10 @@ open Fintype Finset
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
 coordinate. Here, we give an auxiliary statement tailored for an inductive proof. Use instead
 `map_sum_finset`. -/
-theorem map_sum_finset_aux [Fintype ι] {n : ℕ} (h : (∑ i, (A i).card) = n) :
+theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i, (A i).card) = n) :
     (f fun i => ∑ j in A i, g i j) = ∑ r in piFinset A, f fun i => g i (r i) :=
   by
+  letI := fun i => Classical.decEq (α i)
   induction' n using Nat.strong_induction_on with n IH generalizing A
   -- If one of the sets is empty, then all the sums are zero
   by_cases Ai_empty : ∃ i, A i = ∅
@@ -635,7 +653,7 @@ theorem map_sum_finset_aux [Fintype ι] {n : ℕ} (h : (∑ i, (A i).card) = n)
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions with `r 1 ∈ A₁`, ...,
 `r n ∈ Aₙ`. This follows from multilinearity by expanding successively with respect to each
 coordinate. -/
-theorem map_sum_finset [Fintype ι] :
+theorem map_sum_finset [DecidableEq ι] [Fintype ι] :
     (f fun i => ∑ j in A i, g i j) = ∑ r in piFinset A, f fun i => g i (r i) :=
   f.map_sum_finset_aux _ _ rfl
 #align multilinear_map.map_sum_finset MultilinearMap.map_sum_finset
@@ -643,17 +661,17 @@ theorem map_sum_finset [Fintype ι] :
 /-- If `f` is multilinear, then `f (Σ_{j₁} g₁ j₁, ..., Σ_{jₙ} gₙ jₙ)` is the sum of
 `f (g₁ (r 1), ..., gₙ (r n))` where `r` ranges over all functions `r`. This follows from
 multilinearity by expanding successively with respect to each coordinate. -/
-theorem map_sum [Fintype ι] [∀ i, Fintype (α i)] :
+theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
     (f fun i => ∑ j, g i j) = ∑ r : ∀ i, α i, f fun i => g i (r i) :=
   f.map_sum_finset g fun i => Finset.univ
 #align multilinear_map.map_sum MultilinearMap.map_sum
 
-theorem map_update_sum {α : Type _} (t : Finset α) (i : ι) (g : α → M₁ i) (m : ∀ i, M₁ i) :
-    f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) :=
-  by
-  induction' t using Finset.induction with a t has ih h
-  · simp
-  · simp [Finset.sum_insert has, ih]
+theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
+    (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
+  classical
+    induction' t using Finset.induction with a t has ih h
+    · simp
+    · simp [Finset.sum_insert has, ih]
 #align multilinear_map.map_update_sum MultilinearMap.map_update_sum
 
 end ApplySum
@@ -665,8 +683,8 @@ This is the multilinear version of `linear_map.cod_restrict`. -/
 def codRestrict (f : MultilinearMap R M₁ M₂) (p : Submodule R M₂) (h : ∀ v, f v ∈ p) :
     MultilinearMap R M₁ p where
   toFun v := ⟨f v, h v⟩
-  map_add' v i x y := Subtype.ext <| MultilinearMap.map_add _ _ _ _ _
-  map_smul' v i c x := Subtype.ext <| MultilinearMap.map_smul _ _ _ _ _
+  map_add' _ v i x y := Subtype.ext <| MultilinearMap.map_add _ _ _ _ _
+  map_smul' _ v i c x := Subtype.ext <| MultilinearMap.map_smul _ _ _ _ _
 #align multilinear_map.cod_restrict MultilinearMap.codRestrict
 
 section RestrictScalar
@@ -679,8 +697,8 @@ and their actions on all involved modules agree with the action of `R` on `A`. -
 def restrictScalars (f : MultilinearMap A M₁ M₂) : MultilinearMap R M₁ M₂
     where
   toFun := f
-  map_add' := f.map_add
-  map_smul' m i := (f.toLinearMap m i).map_smul_of_tower
+  map_add' _ := f.map_add
+  map_smul' _ m i := (f.to_linear_map m i).map_smul_of_tower
 #align multilinear_map.restrict_scalars MultilinearMap.restrictScalars
 
 @[simp]
@@ -692,7 +710,7 @@ end RestrictScalar
 
 section
 
-variable {ι₁ ι₂ ι₃ : Type _} [DecidableEq ι₁] [DecidableEq ι₂] [DecidableEq ι₃]
+variable {ι₁ ι₂ ι₃ : Type _}
 
 /-- Transfer the arguments to a map along an equivalence between argument indices.
 
@@ -703,10 +721,14 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun i : ι₁ => M
     MultilinearMap R (fun i : ι₂ => M₂) M₃
     where
   toFun v := m fun i => v (σ i)
-  map_add' v i a b := by
+  map_add' _ v i a b := by
+    skip
+    letI := σ.injective.decidable_eq
     simp_rw [Function.update_apply_equiv_apply v]
     rw [m.map_add]
-  map_smul' v i a b := by
+  map_smul' _ v i a b := by
+    skip
+    letI := σ.injective.decidable_eq
     simp_rw [Function.update_apply_equiv_apply v]
     rw [m.map_smul]
 #align multilinear_map.dom_dom_congr MultilinearMap.domDomCongr
@@ -798,7 +820,7 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
   MultilinearMap.ext fun v => rfl
 #align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrict
 
-variable {ι₁ ι₂ : Type _} [DecidableEq ι₁] [DecidableEq ι₂]
+variable {ι₁ ι₂ : Type _}
 
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
@@ -822,7 +844,7 @@ variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [∀ i, AddCommMonoid
 map is multiplied by `∏ i in s, c i`. This is mainly an auxiliary statement to prove the result when
 `s = univ`, given in `map_smul_univ`, although it can be useful in its own right as it does not
 require the index set `ι` to be finite. -/
-theorem map_piecewise_smul (c : ι → R) (m : ∀ i, M₁ i) (s : Finset ι) :
+theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (s : Finset ι) :
     f (s.piecewise (fun i => c i • m i) m) = (∏ i in s, c i) • f m :=
   by
   refine' s.induction_on (by simp) _
@@ -843,11 +865,12 @@ theorem map_piecewise_smul (c : ι → R) (m : ∀ i, M₁ i) (s : Finset ι) :
 /-- Multiplicativity of a multilinear map along all coordinates at the same time,
 writing `f (λi, c i • m i)` as `(∏ i, c i) • f m`. -/
 theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
-    (f fun i => c i • m i) = (∏ i, c i) • f m := by simpa using map_piecewise_smul f c m Finset.univ
+    (f fun i => c i • m i) = (∏ i, c i) • f m := by
+  classical simpa using map_piecewise_smul f c m Finset.univ
 #align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
 
 @[simp]
-theorem map_update_smul [Fintype ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
+theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
     f (update (c • m) i x) = c ^ (Fintype.card ι - 1) • f (update m i x) :=
   by
   have :
@@ -890,7 +913,7 @@ variable (M₂ M₃ R' A)
 
 /-- `multilinear_map.dom_dom_congr` as a `linear_equiv`. -/
 @[simps apply symm_apply]
-def domDomCongrLinearEquiv {ι₁ ι₂} [DecidableEq ι₁] [DecidableEq ι₂] (σ : ι₁ ≃ ι₂) :
+def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
     MultilinearMap A (fun i : ι₁ => M₂) M₃ ≃ₗ[R'] MultilinearMap A (fun i : ι₂ => M₂) M₃ :=
   {
     (domDomCongrEquiv σ :
@@ -904,26 +927,34 @@ variable (R M₁)
 
 /-- The dependent version of `multilinear_map.dom_dom_congr_linear_equiv`. -/
 @[simps apply symm_apply]
-def domDomCongrLinearEquiv' {ι' : Type _} [DecidableEq ι'] (σ : ι ≃ ι') :
+def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
     MultilinearMap R M₁ M₂ ≃ₗ[R] MultilinearMap R (fun i => M₁ (σ.symm i)) M₂
     where
   toFun f :=
     { toFun := f ∘ (σ.piCongrLeft' M₁).symm
-      map_add' := fun m i => by
+      map_add' := fun _ m i => by
+        skip
+        letI := σ.decidable_eq
         rw [← σ.apply_symm_apply i]
         intro x y
         simp only [comp_app, Pi_congr_left'_symm_update, f.map_add]
-      map_smul' := fun m i c => by
+      map_smul' := fun _ m i c => by
+        skip
+        letI := σ.decidable_eq
         rw [← σ.apply_symm_apply i]
         intro x
         simp only [comp_app, Pi_congr_left'_symm_update, f.map_smul] }
   invFun f :=
     { toFun := f ∘ σ.piCongrLeft' M₁
-      map_add' := fun m i => by
+      map_add' := fun _ m i => by
+        skip
+        letI := σ.symm.decidable_eq
         rw [← σ.symm_apply_apply i]
         intro x y
         simp only [comp_app, Pi_congr_left'_update, f.map_add]
-      map_smul' := fun m i c => by
+      map_smul' := fun _ m i c => by
+        skip
+        letI := σ.symm.decidable_eq
         rw [← σ.symm_apply_apply i]
         intro x
         simp only [comp_app, Pi_congr_left'_update, f.map_smul] }
@@ -994,13 +1025,15 @@ protected def mkPiAlgebraFin : MultilinearMap R (fun i : Fin n => A) A
     where
   toFun m := (List.ofFn m).Prod
   map_add' := by
-    intro m i x y
+    intro dec m i x y
+    rw [Subsingleton.elim dec (by infer_instance)]
     have : (List.finRange n).indexOfₓ i < n := by
       simpa using List.indexOf_lt_length.2 (List.mem_finRange i)
     simp [List.ofFn_eq_map, (List.nodup_finRange n).map_update, List.prod_set, add_mul, this,
       mul_add, add_mul]
   map_smul' := by
-    intro m i c x
+    intro dec m i c x
+    rw [Subsingleton.elim dec (by infer_instance)]
     have : (List.finRange n).indexOfₓ i < n := by
       simpa using List.indexOf_lt_length.2 (List.mem_finRange i)
     simp [List.ofFn_eq_map, (List.nodup_finRange n).map_update, List.prod_set, this]
@@ -1086,7 +1119,7 @@ variable [Semiring R] [∀ i, AddCommMonoid (M₁ i)] [AddCommGroup M₂] [∀ i
   [Module R M₂] (f g : MultilinearMap R M₁ M₂)
 
 instance : Neg (MultilinearMap R M₁ M₂) :=
-  ⟨fun f => ⟨fun m => -f m, fun m i x y => by simp [add_comm], fun m i c x => by simp⟩⟩
+  ⟨fun f => ⟨fun m => -f m, fun _ m i x y => by simp [add_comm], fun _ m i c x => by simp⟩⟩
 
 @[simp]
 theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
@@ -1095,37 +1128,32 @@ theorem neg_apply (m : ∀ i, M₁ i) : (-f) m = -f m :=
 
 instance : Sub (MultilinearMap R M₁ M₂) :=
   ⟨fun f g =>
-    ⟨fun m => f m - g m, fun m i x y =>
+    ⟨fun m => f m - g m, fun _ m i x y =>
       by
       simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]
-      cc, fun m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
+      cc, fun _ m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
 @[simp]
 theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
   rfl
 #align multilinear_map.sub_apply MultilinearMap.sub_apply
 
-instance : AddCommGroup (MultilinearMap R M₁ M₂) := by
-  refine'
-          {
-            MultilinearMap.addCommMonoid with
-            zero := (0 : MultilinearMap R M₁ M₂)
-            add := (· + ·)
-            neg := Neg.neg
-            sub := Sub.sub
-            sub_eq_add_neg := _
-            nsmul := fun n f =>
-              ⟨fun m => n • f m, fun m i x y => by simp [smul_add], fun l i x d => by
-                simp [← smul_comm x n]⟩
-            zsmul := fun n f =>
-              ⟨fun m => n • f m, fun m i x y => by simp [smul_add], fun l i x d => by
-                simp [← smul_comm x n]⟩
-            zsmul_zero' := _
-            zsmul_succ' := _
-            zsmul_neg' := _.. } <;>
-        intros <;>
-      ext <;>
-    simp [add_comm, add_left_comm, sub_eq_add_neg, add_smul, Nat.succ_eq_add_one]
+instance : AddCommGroup (MultilinearMap R M₁ M₂) :=
+  {
+    MultilinearMap.addCommMonoid with
+    zero := (0 : MultilinearMap R M₁ M₂)
+    add := (· + ·)
+    neg := Neg.neg
+    sub := Sub.sub
+    add_left_neg := fun a => MultilinearMap.ext fun v => add_left_neg _
+    sub_eq_add_neg := fun a b => MultilinearMap.ext fun v => sub_eq_add_neg _ _
+    zsmul := fun n f =>
+      { toFun := fun m => n • f m
+        map_add' := fun _ m i x y => by simp [smul_add]
+        map_smul' := fun _ l i x d => by simp [← smul_comm x n] }
+    zsmul_zero' := fun a => MultilinearMap.ext fun v => AddCommGroup.zsmul_zero' _
+    zsmul_succ' := fun z a => MultilinearMap.ext fun v => AddCommGroup.zsmul_succ' _ _
+    zsmul_neg' := fun z a => MultilinearMap.ext fun v => AddCommGroup.zsmul_neg' _ _ }
 
 end RangeAddCommGroup
 
@@ -1135,13 +1163,14 @@ variable [Semiring R] [∀ i, AddCommGroup (M₁ i)] [AddCommGroup M₂] [∀ i,
   [Module R M₂] (f : MultilinearMap R M₁ M₂)
 
 @[simp]
-theorem map_neg (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) : f (update m i (-x)) = -f (update m i x) :=
+theorem map_neg [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x : M₁ i) :
+    f (update m i (-x)) = -f (update m i x) :=
   eq_neg_of_add_eq_zero_left <| by
     rw [← MultilinearMap.map_add, add_left_neg, f.map_coord_zero i (update_same i 0 m)]
 #align multilinear_map.map_neg MultilinearMap.map_neg
 
 @[simp]
-theorem map_sub (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
+theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
     f (update m i (x - y)) = f (update m i x) - f (update m i y) := by
   rw [sub_eq_add_neg, sub_eq_add_neg, MultilinearMap.map_add, map_neg]
 #align multilinear_map.map_sub MultilinearMap.map_sub
@@ -1205,7 +1234,8 @@ the variables, given by `m ↦ f (m 0) (tail m)`-/
 def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) :
     MultilinearMap R M M₂ where
   toFun m := f (m 0) (tail m)
-  map_add' m i x y := by
+  map_add' dec m i x y := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     by_cases h : i = 0
     · subst i
       rw [update_same, update_same, update_same, f.map_add, add_apply, tail_update_zero,
@@ -1215,7 +1245,8 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       rw [← succ_pred i h]
       intro x y
       rw [tail_update_succ, MultilinearMap.map_add, tail_update_succ, tail_update_succ]
-  map_smul' m i c x := by
+  map_smul' dec m i c x := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     by_cases h : i = 0
     · subst i
       rw [update_same, update_same, tail_update_zero, tail_update_zero, ← smul_apply, f.map_smul]
@@ -1239,8 +1270,14 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
     where
   toFun x :=
     { toFun := fun m => f (cons x m)
-      map_add' := fun m i y y' => by simp
-      map_smul' := fun m i y c => by simp }
+      map_add' := fun dec m i y y' =>
+        by
+        rw [Subsingleton.elim dec (by infer_instance)]
+        simp
+      map_smul' := fun dec m i y c =>
+        by
+        rw [Subsingleton.elim dec (by infer_instance)]
+        simp }
   map_add' x y := by
     ext m
     exact cons_add f m x y
@@ -1307,7 +1344,8 @@ def MultilinearMap.uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M i.cast_succ) (M (last n) →ₗ[R] M₂)) :
     MultilinearMap R M M₂ where
   toFun m := f (init m) (m (last n))
-  map_add' m i x y := by
+  map_add' dec m i x y := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     by_cases h : i.val < n
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       rw [update_noteq this, update_noteq this, update_noteq this]
@@ -1321,7 +1359,8 @@ def MultilinearMap.uncurryRight
       intro x y
       rw [init_update_last, init_update_last, init_update_last, update_same, update_same,
         update_same, LinearMap.map_add]
-  map_smul' m i c x := by
+  map_smul' dec m i c x := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     by_cases h : i.val < n
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       rw [update_noteq this, update_noteq this]
@@ -1353,11 +1392,13 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
     { toFun := fun x => f (snoc m x)
       map_add' := fun x y => by rw [f.snoc_add]
       map_smul' := fun c x => by simp only [f.snoc_smul, RingHom.id_apply] }
-  map_add' m i x y := by
+  map_add' dec m i x y := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     ext z
     change f (snoc (update m i (x + y)) z) = f (snoc (update m i x) z) + f (snoc (update m i y) z)
     rw [snoc_update, snoc_update, snoc_update, f.map_add]
-  map_smul' m i c x := by
+  map_smul' dec m i c x := by
+    rw [Subsingleton.elim dec (by infer_instance)]
     ext z
     change f (snoc (update m i (c • x)) z) = c • f (snoc (update m i x) z)
     rw [snoc_update, snoc_update, f.map_smul]
@@ -1413,7 +1454,7 @@ def multilinearCurryRightEquiv :
 
 namespace MultilinearMap
 
-variable {ι' : Type _} [DecidableEq ι'] [DecidableEq (Sum ι ι')] {R M₂}
+variable {ι' : Type _} {R M₂}
 
 /-- A multilinear map on `Π i : ι ⊕ ι', M'` defines a multilinear map on `Π i : ι, M'`
 taking values in the space of multilinear maps on `Π i : ι', M'`. -/
@@ -1422,12 +1463,24 @@ def currySum (f : MultilinearMap R (fun x : Sum ι ι' => M') M₂) :
     where
   toFun u :=
     { toFun := fun v => f (Sum.elim u v)
-      map_add' := fun v i x y => by simp only [← Sum.update_elim_inr, f.map_add]
-      map_smul' := fun v i c x => by simp only [← Sum.update_elim_inr, f.map_smul] }
-  map_add' u i x y :=
-    ext fun v => by simp only [MultilinearMap.coe_mk, add_apply, ← Sum.update_elim_inl, f.map_add]
-  map_smul' u i c x :=
-    ext fun v => by simp only [MultilinearMap.coe_mk, smul_apply, ← Sum.update_elim_inl, f.map_smul]
+      map_add' := fun _ v i x y => by
+        skip
+        letI := Classical.decEq ι
+        simp only [← Sum.update_elim_inr, f.map_add]
+      map_smul' := fun _ v i c x => by
+        skip
+        letI := Classical.decEq ι
+        simp only [← Sum.update_elim_inr, f.map_smul] }
+  map_add' _ u i x y :=
+    ext fun v => by
+      skip
+      letI := Classical.decEq ι'
+      simp only [MultilinearMap.coe_mk, add_apply, ← Sum.update_elim_inl, f.map_add]
+  map_smul' _ u i c x :=
+    ext fun v => by
+      skip
+      letI := Classical.decEq ι'
+      simp only [MultilinearMap.coe_mk, smul_apply, ← Sum.update_elim_inl, f.map_smul]
 #align multilinear_map.curry_sum MultilinearMap.currySum
 
 @[simp]
@@ -1442,11 +1495,17 @@ def uncurrySum (f : MultilinearMap R (fun x : ι => M') (MultilinearMap R (fun x
     MultilinearMap R (fun x : Sum ι ι' => M') M₂
     where
   toFun u := f (u ∘ Sum.inl) (u ∘ Sum.inr)
-  map_add' u i x y := by
+  map_add' _ u i x y := by
+    skip
+    letI := (@Sum.inl_injective ι ι').DecidableEq
+    letI := (@Sum.inr_injective ι ι').DecidableEq
     cases i <;>
       simp only [MultilinearMap.map_add, add_apply, Sum.update_inl_comp_inl,
         Sum.update_inl_comp_inr, Sum.update_inr_comp_inl, Sum.update_inr_comp_inr]
-  map_smul' u i c x := by
+  map_smul' _ u i c x := by
+    skip
+    letI := (@Sum.inl_injective ι ι').DecidableEq
+    letI := (@Sum.inr_injective ι ι').DecidableEq
     cases i <;>
       simp only [MultilinearMap.map_smul, smul_apply, Sum.update_inl_comp_inl,
         Sum.update_inl_comp_inr, Sum.update_inr_comp_inl, Sum.update_inr_comp_inr]
@@ -1583,6 +1642,7 @@ def map [Nonempty ι] (f : MultilinearMap R M₁ M₂) (p : ∀ i, Submodule R (
   carrier := f '' { v | ∀ i, v i ∈ p i }
   smul_mem' := fun c _ ⟨x, hx, hf⟩ => by
     let ⟨i⟩ := ‹Nonempty ι›
+    letI := Classical.decEq ι
     refine' ⟨update x i (c • x i), fun j => if hij : j = i then _ else _, hf ▸ _⟩
     · rw [hij, update_same]
       exact (p i).smul_mem _ (hx i)

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

Splits Algebra.Algebra.Defs off Algebra.Algebra.Basic. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Algebra.Basic is now a grab-bag of unrelated results, and should probably be split further or rehomed.

This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Algebra.Basic.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -3,7 +3,7 @@ Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Algebra.Algebra.Defs
 import Mathlib.Algebra.Order.BigOperators.Group.Finset
 import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

@@ -444,7 +444,7 @@ end
 the image under a multilinear map `f` is the sum of `f (s.piecewise m m')` along all subsets `s` of
 `t`. This is mainly an auxiliary statement to prove the result when `t = univ`, given in
 `map_add_univ`, although it can be useful in its own right as it does not require the index set `ι`
-to be finite.-/
+to be finite. -/
 theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι) :
     f (t.piecewise (m + m') m') = ∑ s in t.powerset, f (s.piecewise m m') := by
   revert m'
@@ -761,7 +761,7 @@ end
 
 /-! If `{a // P a}` is a subtype of `ι` and if we fix an element `z` of `(i : {a // ¬ P a}) → M₁ i`,
 then a multilinear map on `M₁` defines a multilinear map on the restriction of `M₁` to
-`{a // P a}`, by fixing the arguments out of `{a // P a}` equal to the values of `z`.-/
+`{a // P a}`, by fixing the arguments out of `{a // P a}` equal to the values of `z`. -/
 
 lemma domDomRestrict_aux [DecidableEq ι] (P : ι → Prop) [DecidablePred P]
     [DecidableEq {a // P a}]
@@ -810,7 +810,7 @@ lemma domDomRestrict_apply (f : MultilinearMap R M₁ M₂) (P : ι → Prop)
 
 -- TODO: Should add a ref here when available.
 /-- The "derivative" of a multilinear map, as a linear map from `(i : ι) → M₁ i` to `M₂`.
-For continuous multilinear maps, this will indeed be the derivative.-/
+For continuous multilinear maps, this will indeed be the derivative. -/
 def linearDeriv [DecidableEq ι] [Fintype ι] (f : MultilinearMap R M₁ M₂)
     (x : (i : ι) → M₁ i) : ((i : ι) → M₁ i) →ₗ[R] M₂ :=
   ∑ i : ι, (f.toLinearMap x i).comp (LinearMap.proj i)
@@ -1299,7 +1299,7 @@ lemma map_sub_map_piecewise [LinearOrder ι] (a b : (i : ι) → M₁ i) (s : Fi
 
 /-- This calculates the differences between the values of a multilinear map at
 two arguments that differ on a finset `s` of `ι`. It requires a
-linear order on `ι` in order to express the result.-/
+linear order on `ι` in order to express the result. -/
 lemma map_piecewise_sub_map_piecewise [LinearOrder ι] (a b v : (i : ι) → M₁ i) (s : Finset ι) :
     f (s.piecewise a v) - f (s.piecewise b v) = ∑ i in s, f
       fun j ↦ if j ∈ s then if j < i then a j else if j = i then a j - b j else b j else v j := by
@@ -1328,7 +1328,7 @@ lemma map_add_eq_map_add_linearDeriv_add [DecidableEq ι] [Fintype ι] (x h : (i
 open Finset in
 /-- This expresses the difference between the values of a multilinear map
 at two points "close to `x`" in terms of the "derivative" of the multilinear map at `x`
-and of "second-order" terms.-/
+and of "second-order" terms. -/
 lemma map_add_sub_map_add_sub_linearDeriv [DecidableEq ι] [Fintype ι] (x h h' : (i : ι) → M₁ i) :
     f (x + h) - f (x + h') - f.linearDeriv x (h - h') =
     ∑ s in univ.powerset.filter (2 ≤ ·.card), (f (s.piecewise h x) - f (s.piecewise h' x)) := by

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.

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
 import Mathlib.Algebra.Algebra.Basic
-import Mathlib.Algebra.BigOperators.Order
+import Mathlib.Algebra.Order.BigOperators.Group.Finset
 import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort
 import Mathlib.Data.List.FinRange

@@ -545,13 +545,13 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi]
       simp only [B, sdiff_subset, update_same]
-    · simp only [B, hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
+    · simp only [B, hi, update_noteq, Ne, not_false_iff, Finset.Subset.refl]
   have C_subset_A : ∀ i, C i ⊆ A i := by
     intro i
     by_cases hi : i = i₀
     · rw [hi]
       simp only [C, hj₂, Finset.singleton_subset_iff, update_same]
-    · simp only [C, hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
+    · simp only [C, hi, update_noteq, Ne, not_false_iff, Finset.Subset.refl]
   -- split the sum at `i₀` as the sum over `B i₀` plus the sum over `C i₀`, to use additivity.
   have A_eq_BC :
     (fun i => ∑ j in A i, g i j) =
@@ -579,7 +579,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi]
       simp only [update_same]
-    · simp only [B, hi, update_noteq, Ne.def, not_false_iff]
+    · simp only [B, hi, update_noteq, Ne, not_false_iff]
   have Ceq :
     Function.update (fun i => ∑ j in A i, g i j) i₀ (∑ j in C i₀, g i₀ j) = fun i =>
       ∑ j in C i, g i j := by
@@ -587,7 +587,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi]
       simp only [update_same]
-    · simp only [C, hi, update_noteq, Ne.def, not_false_iff]
+    · simp only [C, hi, update_noteq, Ne, not_false_iff]
   -- Express the inductive assumption for `B`
   have Brec : (f fun i => ∑ j in B i, g i j) = ∑ r in piFinset B, f fun i => g i (r i) := by
     have : (∑ i, Finset.card (B i)) < ∑ i, Finset.card (A i) := by

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

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

| Statement | New name | Old name | |

@@ -1333,7 +1333,7 @@ lemma map_add_sub_map_add_sub_linearDeriv [DecidableEq ι] [Fintype ι] (x h h'
     f (x + h) - f (x + h') - f.linearDeriv x (h - h') =
     ∑ s in univ.powerset.filter (2 ≤ ·.card), (f (s.piecewise h x) - f (s.piecewise h' x)) := by
   simp_rw [map_add_eq_map_add_linearDeriv_add, add_assoc, add_sub_add_comm, sub_self, zero_add,
-    ← LinearMap.map_sub, add_sub_cancel', sum_sub_distrib]
+    ← LinearMap.map_sub, add_sub_cancel_left, sum_sub_distrib]
 
 end AddCommGroup
 

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -371,7 +371,6 @@ theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc
 section
 
 variable {M₁' : ι → Type*} [∀ i, AddCommMonoid (M₁' i)] [∀ i, Module R (M₁' i)]
-
 variable {M₁'' : ι → Type*} [∀ i, AddCommMonoid (M₁'' i)] [∀ i, Module R (M₁'' i)]
 
 /-- If `g` is a multilinear map and `f` is a collection of linear maps,
@@ -676,7 +675,6 @@ def codRestrict (f : MultilinearMap R M₁ M₂) (p : Submodule R M₂) (h : ∀
 section RestrictScalar
 
 variable (R)
-
 variable {A : Type*} [Semiring A] [SMul R A] [∀ i : ι, Module A (M₁ i)] [Module A M₂]
   [∀ i, IsScalarTower R A (M₁ i)] [IsScalarTower R A M₂]
 

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.

@@ -1018,16 +1018,17 @@ sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g
 sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g` and multilinear in
 `f₁, ..., fₙ`. -/
 @[simps] def compLinearMapMultilinear :
-  @MultilinearMap R ι (λ i ↦ M₁ i →ₗ[R] M₁' i)
-    ((MultilinearMap R M₁' M₂) →ₗ[R] MultilinearMap R M₁ M₂) _ _ _ (λ i ↦ LinearMap.module) _ where
+  @MultilinearMap R ι (fun i ↦ M₁ i →ₗ[R] M₁' i)
+    ((MultilinearMap R M₁' M₂) →ₗ[R] MultilinearMap R M₁ M₂) _ _ _
+      (fun i ↦ LinearMap.module) _ where
   toFun := MultilinearMap.compLinearMapₗ
   map_add' := by
     intro _ f i f₁ f₂
     ext g x
     change (g fun j ↦ update f i (f₁ + f₂) j <| x j) =
         (g fun j ↦ update f i f₁ j <|x j) + g fun j ↦ update f i f₂ j (x j)
-    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := λ i f ↦ f (x i)
-    convert g.map_add (λ j ↦ f j (x j)) i (f₁ (x i)) (f₂ (x i)) with j j j
+    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := fun i f ↦ f (x i)
+    convert g.map_add (fun j ↦ f j (x j)) i (f₁ (x i)) (f₂ (x i)) with j j j
     · exact Function.apply_update c f i (f₁ + f₂) j
     · exact Function.apply_update c f i f₁ j
     · exact Function.apply_update c f i f₂ j
@@ -1035,8 +1036,8 @@ sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g
     intro _ f i a f₀
     ext g x
     change (g fun j ↦ update f i (a • f₀) j <| x j) = a • g fun j ↦ update f i f₀ j (x j)
-    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := λ i f ↦ f (x i)
-    convert g.map_smul (λ j ↦ f j (x j)) i a (f₀ (x i)) with j j j
+    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := fun i f ↦ f (x i)
+    convert g.map_smul (fun j ↦ f j (x j)) i a (f₀ (x i)) with j j j
     · exact Function.apply_update c f i (a • f₀) j
     · exact Function.apply_update c f i f₀ j
 

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".

@@ -1247,7 +1247,7 @@ instance : AddCommGroup (MultilinearMap R M₁ M₂) :=
       { toFun := fun m => n • f m
         map_add' := fun m i x y => by simp [smul_add]
         map_smul' := fun l i x d => by simp [← smul_comm x n (_ : M₂)] }
-    -- porting note: changed from `AddCommGroup` to `SubNegMonoid`
+    -- Porting note: changed from `AddCommGroup` to `SubNegMonoid`
     zsmul_zero' := fun a => MultilinearMap.ext fun v => SubNegMonoid.zsmul_zero' _
     zsmul_succ' := fun z a => MultilinearMap.ext fun v => SubNegMonoid.zsmul_succ' _ _
     zsmul_neg' := fun z a => MultilinearMap.ext fun v => SubNegMonoid.zsmul_neg' _ _ }
@@ -1395,7 +1395,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
     MultilinearMap R M M₂ where
   toFun m := f (m 0) (tail m)
   map_add' := @fun dec m i x y => by
-    -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+    -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i = 0
     · subst i
@@ -1406,7 +1406,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       intro x y
       rw [tail_update_succ, MultilinearMap.map_add, tail_update_succ, tail_update_succ]
   map_smul' := @fun dec m i c x => by
-    -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+    -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i = 0
     · subst i
@@ -1431,11 +1431,11 @@ def MultilinearMap.curryLeft (f : MultilinearMap R M M₂) :
   toFun x :=
     { toFun := fun m => f (cons x m)
       map_add' := @fun dec m i y y' => by
-        -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+        -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
         rw [Subsingleton.elim dec (by clear dec; infer_instance)]
         simp
       map_smul' := @fun dec m i y c => by
-        -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+        -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
         rw [Subsingleton.elim dec (by clear dec; infer_instance)]
         simp }
   map_add' x y := by
@@ -1503,7 +1503,7 @@ def MultilinearMap.uncurryRight
     MultilinearMap R M M₂ where
   toFun m := f (init m) (m (last n))
   map_add' {dec} m i x y := by
-    -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+    -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i.val < n
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
@@ -1518,7 +1518,7 @@ def MultilinearMap.uncurryRight
       intro x y
       simp_rw [init_update_last, update_same, LinearMap.map_add]
   map_smul' {dec} m i c x := by
-    -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
+    -- Porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i.val < n
     · have : last n ≠ i := Ne.symm (ne_of_lt h)

Let $R$ be a commutative ring and $(A_i)$ a bunch of $R$-algebras, then $\bigotimes_{R} A$ is an $R$-algebra as well. In particular, taking $R$ to be $\mathbb{Z}$, we get tensor product of rings

Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -1040,6 +1040,19 @@ sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g
     · exact Function.apply_update c f i (a • f₀) j
     · exact Function.apply_update c f i f₀ j
 
+/--
+Let `M₁ᵢ` and `M₁ᵢ'` be two families of `R`-modules and `M₂` an `R`-module.
+Let us denote `Π i, M₁ᵢ` and `Π i, M₁ᵢ'` by `M` and `M'` respectively.
+If `g` is a multilinear map `M' → M₂`, then `g` can be reinterpreted as a multilinear
+map from `Π i, M₁ᵢ ⟶ M₁ᵢ'` to `M ⟶ M₂` via `(fᵢ) ↦ v ↦ g(fᵢ vᵢ)`.
+-/
+@[simps!] def piLinearMap :
+    MultilinearMap R M₁' M₂ →ₗ[R]
+    MultilinearMap R (fun i ↦ M₁ i →ₗ[R] M₁' i) (MultilinearMap R M₁ M₂) where
+  toFun g := (LinearMap.applyₗ g).compMultilinearMap compLinearMapMultilinear
+  map_add' := by aesop
+  map_smul' := by aesop
+
 end
 
 /-- If one multiplies by `c i` the coordinates in a finset `s`, then the image under a multilinear

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

@@ -464,8 +464,8 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
     ext j
     by_cases h : j = i
     · rw [h]
-      simp [hit]
-    · by_cases h' : j ∈ t <;> simp [h, hit, h']
+      simp [m'', hit]
+    · by_cases h' : j ∈ t <;> simp [m'', h, hit, h']
   rw [A, f.map_add, B, C, Finset.sum_powerset_insert hit, Hrec, Hrec, add_comm (_ : M₂)]
   congr 1
   refine Finset.sum_congr rfl fun s hs => ?_
@@ -473,8 +473,8 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
     ext j
     by_cases h : j = i
     · rw [h]
-      simp [Finset.not_mem_of_mem_powerset_of_not_mem hs hit]
-    · by_cases h' : j ∈ s <;> simp [h, h']
+      simp [m'', Finset.not_mem_of_mem_powerset_of_not_mem hs hit]
+    · by_cases h' : j ∈ s <;> simp [m'', h, h']
   rw [this]
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
 
@@ -545,14 +545,14 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     intro i
     by_cases hi : i = i₀
     · rw [hi]
-      simp only [sdiff_subset, update_same]
-    · simp only [hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
+      simp only [B, sdiff_subset, update_same]
+    · simp only [B, hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
   have C_subset_A : ∀ i, C i ⊆ A i := by
     intro i
     by_cases hi : i = i₀
     · rw [hi]
-      simp only [hj₂, Finset.singleton_subset_iff, update_same]
-    · simp only [hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
+      simp only [C, hj₂, Finset.singleton_subset_iff, update_same]
+    · simp only [C, hi, update_noteq, Ne.def, not_false_iff, Finset.Subset.refl]
   -- split the sum at `i₀` as the sum over `B i₀` plus the sum over `C i₀`, to use additivity.
   have A_eq_BC :
     (fun i => ∑ j in A i, g i j) =
@@ -562,15 +562,15 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi, update_same]
       have : A i₀ = B i₀ ∪ C i₀ := by
-        simp only [Function.update_same, Finset.sdiff_union_self_eq_union]
+        simp only [B, C, Function.update_same, Finset.sdiff_union_self_eq_union]
         symm
         simp only [hj₂, Finset.singleton_subset_iff, Finset.union_eq_left]
       rw [this]
       refine Finset.sum_union <| Finset.disjoint_right.2 fun j hj => ?_
       have : j = j₂ := by
-        simpa using hj
+        simpa [C] using hj
       rw [this]
-      simp only [mem_sdiff, eq_self_iff_true, not_true, not_false_iff, Finset.mem_singleton,
+      simp only [B, mem_sdiff, eq_self_iff_true, not_true, not_false_iff, Finset.mem_singleton,
         update_same, and_false_iff]
     · simp [hi]
   have Beq :
@@ -580,7 +580,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi]
       simp only [update_same]
-    · simp only [hi, update_noteq, Ne.def, not_false_iff]
+    · simp only [B, hi, update_noteq, Ne.def, not_false_iff]
   have Ceq :
     Function.update (fun i => ∑ j in A i, g i j) i₀ (∑ j in C i₀, g i₀ j) = fun i =>
       ∑ j in C i, g i j := by
@@ -588,7 +588,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
     by_cases hi : i = i₀
     · rw [hi]
       simp only [update_same]
-    · simp only [hi, update_noteq, Ne.def, not_false_iff]
+    · simp only [C, hi, update_noteq, Ne.def, not_false_iff]
   -- Express the inductive assumption for `B`
   have Brec : (f fun i => ∑ j in B i, g i j) = ∑ r in piFinset B, f fun i => g i (r i) := by
     have : (∑ i, Finset.card (B i)) < ∑ i, Finset.card (A i) := by
@@ -596,7 +596,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
         Finset.sum_lt_sum (fun i _ => Finset.card_le_card (B_subset_A i))
           ⟨i₀, Finset.mem_univ _, _⟩
       have : {j₂} ⊆ A i₀ := by simp [hj₂]
-      simp only [Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
+      simp only [B, Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
       exact Nat.pred_lt (ne_of_gt (lt_trans Nat.zero_lt_one hi₀))
     rw [h] at this
     exact IH _ this B rfl
@@ -604,11 +604,11 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in piFinset C, f fun i => g i (r i) := by
     have : (∑ i, Finset.card (C i)) < ∑ i, Finset.card (A i) :=
       Finset.sum_lt_sum (fun i _ => Finset.card_le_card (C_subset_A i))
-        ⟨i₀, Finset.mem_univ _, by simp [hi₀]⟩
+        ⟨i₀, Finset.mem_univ _, by simp [C, hi₀]⟩
     rw [h] at this
     exact IH _ this C rfl
   have D : Disjoint (piFinset B) (piFinset C) :=
-    haveI : Disjoint (B i₀) (C i₀) := by simp
+    haveI : Disjoint (B i₀) (C i₀) := by simp [B, C]
     piFinset_disjoint_of_disjoint B C this
   have pi_BC : piFinset A = piFinset B ∪ piFinset C := by
     apply Finset.Subset.antisymm
@@ -617,15 +617,15 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       · apply Finset.mem_union_right
         refine mem_piFinset.2 fun i => ?_
         by_cases hi : i = i₀
-        · have : r i₀ ∈ C i₀ := by simp [hri₀]
+        · have : r i₀ ∈ C i₀ := by simp [C, hri₀]
           rwa [hi]
-        · simp [hi, mem_piFinset.1 hr i]
+        · simp [C, hi, mem_piFinset.1 hr i]
       · apply Finset.mem_union_left
         refine mem_piFinset.2 fun i => ?_
         by_cases hi : i = i₀
-        · have : r i₀ ∈ B i₀ := by simp [hri₀, mem_piFinset.1 hr i₀]
+        · have : r i₀ ∈ B i₀ := by simp [B, hri₀, mem_piFinset.1 hr i₀]
           rwa [hi]
-        · simp [hi, mem_piFinset.1 hr i]
+        · simp [B, hi, mem_piFinset.1 hr i]
     · exact
         Finset.union_subset (piFinset_subset _ _ fun i => B_subset_A i)
           (piFinset_subset _ _ fun i => C_subset_A i)

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to simp can prove this or simp can simplify this.

@@ -136,7 +136,7 @@ theorem coe_injective : Injective ((↑) : MultilinearMap R M₁ M₂ → (∀ i
   DFunLike.coe_injective
 #align multilinear_map.coe_injective MultilinearMap.coe_injective
 
-@[norm_cast] -- Porting note: Removed simp attribute, simp can prove this
+@[norm_cast] -- Porting note (#10618): Removed simp attribute, simp can prove this
 theorem coe_inj {f g : MultilinearMap R M₁ M₂} : (f : (∀ i, M₁ i) → M₂) = g ↔ f = g :=
   DFunLike.coe_fn_eq
 #align multilinear_map.coe_inj MultilinearMap.coe_inj

@@ -790,21 +790,23 @@ an element `z` of `(i : {a // ¬ P a}) → M₁ i`, construct a multilinear map
 The naming is similar to `MultilinearMap.domDomCongr`: here we are applying the restriction to the
 domain of the domain.
 -/
-def domDomRestrict [DecidableEq ι] (f : MultilinearMap R M₁ M₂) (P : ι → Prop) [DecidablePred P]
+def domDomRestrict (f : MultilinearMap R M₁ M₂) (P : ι → Prop) [DecidablePred P]
     (z : (i : {a : ι // ¬ P a}) → M₁ i) :
     MultilinearMap R (fun (i : {a : ι // P a}) => M₁ i) M₂ where
   toFun x := f (fun j ↦ if h : P j then x ⟨j, h⟩ else z ⟨j, h⟩)
   map_add' x i a b := by
+    classical
     simp only
     repeat (rw [domDomRestrict_aux])
     simp only [MultilinearMap.map_add]
   map_smul' z i c a := by
+    classical
     simp only
     repeat (rw [domDomRestrict_aux])
     simp only [MultilinearMap.map_smul]
 
 @[simp]
-lemma domDomRestrict_apply [DecidableEq ι] (f : MultilinearMap R M₁ M₂) (P : ι → Prop)
+lemma domDomRestrict_apply (f : MultilinearMap R M₁ M₂) (P : ι → Prop)
     [DecidablePred P] (x : (i : {a // P a}) → M₁ i) (z : (i : {a // ¬ P a}) → M₁ i) :
     f.domDomRestrict P z x = f (fun j => if h : P j then x ⟨j, h⟩ else z ⟨j, h⟩) := rfl
 

These are a few places where duplicates of instances are in scope, eg variable {K : Type*} [Field K] ... theorem foo [Field K] .....

@@ -892,7 +892,7 @@ instance [Monoid S] [DistribMulAction S M₂] [Module R M₂] [SMulCommClass R S
 
 section Module
 
-variable [Semiring S] [Module S M₂] [Module R M₂] [SMulCommClass R S M₂]
+variable [Semiring S] [Module S M₂] [SMulCommClass R S M₂]
 
 /-- The space of multilinear maps over an algebra over `R` is a module over `R`, for the pointwise
 addition and scalar multiplication. -/
@@ -906,7 +906,7 @@ variable (R S M₁ M₂ M₃)
 
 section OfSubsingleton
 
-variable [AddCommMonoid M₃] [Semiring S] [Module S M₃] [Module R M₃] [SMulCommClass R S M₃]
+variable [AddCommMonoid M₃] [Module S M₃] [Module R M₃] [SMulCommClass R S M₃]
 
 /-- Linear equivalence between linear maps `M₂ →ₗ[R] M₃`
 and one-multilinear maps `MultilinearMap R (fun _ : ι ↦ M₂) M₃`. -/

This follows up from #9785, which renamed FunLike to DFunLike, by introducing a new abbreviation FunLike F α β := DFunLike F α (fun _ => β), to make the non-dependent use of FunLike easier.

I searched for the pattern DFunLike.*fun and DFunLike.*λ in all files to replace expressions of the form DFunLike F α (fun _ => β) with FunLike F α β. I did this everywhere except for extends clauses for two reasons: it would conflict with #8386, and more importantly extends must directly refer to a structure with no unfolding of defs or abbrevs.

@@ -107,8 +107,8 @@ variable [Semiring R] [∀ i, AddCommMonoid (M i)] [∀ i, AddCommMonoid (M₁ i
   [AddCommMonoid M₃] [AddCommMonoid M'] [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂]
   [Module R M₃] [Module R M'] (f f' : MultilinearMap R M₁ M₂)
 
--- Porting note: Replaced CoeFun with DFunLike instance
-instance : DFunLike (MultilinearMap R M₁ M₂) (∀ i, M₁ i) (fun _ ↦ M₂) where
+-- Porting note: Replaced CoeFun with FunLike instance
+instance : FunLike (MultilinearMap R M₁ M₂) (∀ i, M₁ i) M₂ where
   coe f := f.toFun
   coe_injective' := fun f g h ↦ by cases f; cases g; cases h; rfl
 

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -107,8 +107,8 @@ variable [Semiring R] [∀ i, AddCommMonoid (M i)] [∀ i, AddCommMonoid (M₁ i
   [AddCommMonoid M₃] [AddCommMonoid M'] [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂]
   [Module R M₃] [Module R M'] (f f' : MultilinearMap R M₁ M₂)
 
--- Porting note: Replaced CoeFun with FunLike instance
-instance : FunLike (MultilinearMap R M₁ M₂) (∀ i, M₁ i) (fun _ ↦ M₂) where
+-- Porting note: Replaced CoeFun with DFunLike instance
+instance : DFunLike (MultilinearMap R M₁ M₂) (∀ i, M₁ i) (fun _ ↦ M₂) where
   coe f := f.toFun
   coe_injective' := fun f g h ↦ by cases f; cases g; cases h; rfl
 
@@ -125,29 +125,29 @@ theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂
 #align multilinear_map.coe_mk MultilinearMap.coe_mk
 
 theorem congr_fun {f g : MultilinearMap R M₁ M₂} (h : f = g) (x : ∀ i, M₁ i) : f x = g x :=
-  FunLike.congr_fun h x
+  DFunLike.congr_fun h x
 #align multilinear_map.congr_fun MultilinearMap.congr_fun
 
 nonrec theorem congr_arg (f : MultilinearMap R M₁ M₂) {x y : ∀ i, M₁ i} (h : x = y) : f x = f y :=
-  FunLike.congr_arg f h
+  DFunLike.congr_arg f h
 #align multilinear_map.congr_arg MultilinearMap.congr_arg
 
 theorem coe_injective : Injective ((↑) : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align multilinear_map.coe_injective MultilinearMap.coe_injective
 
 @[norm_cast] -- Porting note: Removed simp attribute, simp can prove this
 theorem coe_inj {f g : MultilinearMap R M₁ M₂} : (f : (∀ i, M₁ i) → M₂) = g ↔ f = g :=
-  FunLike.coe_fn_eq
+  DFunLike.coe_fn_eq
 #align multilinear_map.coe_inj MultilinearMap.coe_inj
 
 @[ext]
 theorem ext {f f' : MultilinearMap R M₁ M₂} (H : ∀ x, f x = f' x) : f = f' :=
-  FunLike.ext _ _ H
+  DFunLike.ext _ _ H
 #align multilinear_map.ext MultilinearMap.ext
 
 theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x :=
-  FunLike.ext_iff
+  DFunLike.ext_iff
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
 
 @[simp]
@@ -232,7 +232,7 @@ instance addCommMonoid : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 
 /-- Coercion of a multilinear map to a function as an additive monoid homomorphism. -/
 @[simps] def coeAddMonoidHom : MultilinearMap R M₁ M₂ →+ (((i : ι) → M₁ i) → M₂) where
-  toFun := FunLike.coe; map_zero' := rfl; map_add' _ _ := rfl
+  toFun := DFunLike.coe; map_zero' := rfl; map_add' _ _ := rfl
 
 @[simp]
 theorem coe_sum {α : Type*} (f : α → MultilinearMap R M₁ M₂) (s : Finset α) :
@@ -309,7 +309,7 @@ def constOfIsEmpty [IsEmpty ι] (m : M₂) : MultilinearMap R M₁ M₂ where
 
 end
 
--- Porting note: Included `FunLike.coe` to avoid strange CoeFun instance for Equiv
+-- Porting note: Included `DFunLike.coe` to avoid strange CoeFun instance for Equiv
 /-- Given a multilinear map `f` on `n` variables (parameterized by `Fin n`) and a subset `s` of `k`
 of these variables, one gets a new multilinear map on `Fin k` by varying these variables, and fixing
 the other ones equal to a given value `z`. It is denoted by `f.restr s hk z`, where `hk` is a
@@ -317,18 +317,18 @@ proof that the cardinality of `s` is `k`. The implicit identification between `F
 we use is the canonical (increasing) bijection. -/
 def restr {k n : ℕ} (f : MultilinearMap R (fun _ : Fin n => M') M₂) (s : Finset (Fin n))
     (hk : s.card = k) (z : M') : MultilinearMap R (fun _ : Fin k => M') M₂ where
-  toFun v := f fun j => if h : j ∈ s then v ((FunLike.coe (s.orderIsoOfFin hk).symm) ⟨j, h⟩) else z
+  toFun v := f fun j => if h : j ∈ s then v ((DFunLike.coe (s.orderIsoOfFin hk).symm) ⟨j, h⟩) else z
   /- Porting note: The proofs of the following two lemmas used to only use `erw` followed by `simp`,
   but it seems `erw` no longer unfolds or unifies well enough to work without more help. -/
   map_add' v i x y := by
-    have : FunLike.coe (s.orderIsoOfFin hk).symm = (s.orderIsoOfFin hk).toEquiv.symm := rfl
+    have : DFunLike.coe (s.orderIsoOfFin hk).symm = (s.orderIsoOfFin hk).toEquiv.symm := rfl
     simp only [this]
     erw [dite_comp_equiv_update (s.orderIsoOfFin hk).toEquiv,
       dite_comp_equiv_update (s.orderIsoOfFin hk).toEquiv,
       dite_comp_equiv_update (s.orderIsoOfFin hk).toEquiv]
     simp
   map_smul' v i c x := by
-    have : FunLike.coe (s.orderIsoOfFin hk).symm = (s.orderIsoOfFin hk).toEquiv.symm := rfl
+    have : DFunLike.coe (s.orderIsoOfFin hk).symm = (s.orderIsoOfFin hk).toEquiv.symm := rfl
     simp only [this]
     erw [dite_comp_equiv_update (s.orderIsoOfFin hk).toEquiv,
       dite_comp_equiv_update (s.orderIsoOfFin hk).toEquiv]

• Define the derivative f.linearDeriv of a multilinear map f at x, i.e. the first-order term of f(x+h)-f(x+h').

• Define MultilinearMap.domDomRestrict: given a multilinear map indexed by a type ι, a function P: ι → Prop and a vector z define on {a // ¬ P a}, this is the multilinear map indexed by {a // P a} sending x to the value of f at the vector that has coordinate at a : ι equal to x a if P a and z a if ¬ P a.

• depends on: #9137

Co-authored-by: smorel394 <67864981+smorel394@users.noreply.github.com> Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -8,6 +8,7 @@ import Mathlib.Algebra.BigOperators.Order
 import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort
 import Mathlib.Data.List.FinRange
+import Mathlib.LinearAlgebra.Pi
 
 #align_import linear_algebra.multilinear.basic from "leanprover-community/mathlib"@"78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea"
 
@@ -760,6 +761,68 @@ theorem domDomCongr_eq_iff (σ : ι₁ ≃ ι₂) (f g : MultilinearMap R (fun _
 
 end
 
+/-! If `{a // P a}` is a subtype of `ι` and if we fix an element `z` of `(i : {a // ¬ P a}) → M₁ i`,
+then a multilinear map on `M₁` defines a multilinear map on the restriction of `M₁` to
+`{a // P a}`, by fixing the arguments out of `{a // P a}` equal to the values of `z`.-/
+
+lemma domDomRestrict_aux [DecidableEq ι] (P : ι → Prop) [DecidablePred P]
+    [DecidableEq {a // P a}]
+    (x : (i : {a // P a}) → M₁ i) (z : (i : {a // ¬ P a}) → M₁ i) (i : {a : ι // P a})
+    (c : M₁ i) : (fun j ↦ if h : P j then Function.update x i c ⟨j, h⟩ else z ⟨j, h⟩) =
+    Function.update (fun j => if h : P j then x ⟨j, h⟩ else z ⟨j, h⟩) i c := by
+  ext j
+  by_cases h : j = i
+  · rw [h, Function.update_same]
+    simp only [i.2, update_same, dite_true]
+  · rw [Function.update_noteq h]
+    by_cases h' : P j
+    · simp only [h', ne_eq, Subtype.mk.injEq, dite_true]
+      have h'' : ¬ ⟨j, h'⟩ = i :=
+        fun he => by apply_fun (fun x => x.1) at he; exact h he
+      rw [Function.update_noteq h'']
+    · simp only [h', ne_eq, Subtype.mk.injEq, dite_false]
+
+/-- Given a multilinear map `f` on `(i : ι) → M i`, a (decidable) predicate `P` on `ι` and
+an element `z` of `(i : {a // ¬ P a}) → M₁ i`, construct a multilinear map on
+`(i : {a // P a}) → M₁ i)` whose value at `x` is `f` evaluated at the vector with `i`th coordinate
+`x i` if `P i` and `z i` otherwise.
+
+The naming is similar to `MultilinearMap.domDomCongr`: here we are applying the restriction to the
+domain of the domain.
+-/
+def domDomRestrict [DecidableEq ι] (f : MultilinearMap R M₁ M₂) (P : ι → Prop) [DecidablePred P]
+    (z : (i : {a : ι // ¬ P a}) → M₁ i) :
+    MultilinearMap R (fun (i : {a : ι // P a}) => M₁ i) M₂ where
+  toFun x := f (fun j ↦ if h : P j then x ⟨j, h⟩ else z ⟨j, h⟩)
+  map_add' x i a b := by
+    simp only
+    repeat (rw [domDomRestrict_aux])
+    simp only [MultilinearMap.map_add]
+  map_smul' z i c a := by
+    simp only
+    repeat (rw [domDomRestrict_aux])
+    simp only [MultilinearMap.map_smul]
+
+@[simp]
+lemma domDomRestrict_apply [DecidableEq ι] (f : MultilinearMap R M₁ M₂) (P : ι → Prop)
+    [DecidablePred P] (x : (i : {a // P a}) → M₁ i) (z : (i : {a // ¬ P a}) → M₁ i) :
+    f.domDomRestrict P z x = f (fun j => if h : P j then x ⟨j, h⟩ else z ⟨j, h⟩) := rfl
+
+-- TODO: Should add a ref here when available.
+/-- The "derivative" of a multilinear map, as a linear map from `(i : ι) → M₁ i` to `M₂`.
+For continuous multilinear maps, this will indeed be the derivative.-/
+def linearDeriv [DecidableEq ι] [Fintype ι] (f : MultilinearMap R M₁ M₂)
+    (x : (i : ι) → M₁ i) : ((i : ι) → M₁ i) →ₗ[R] M₂ :=
+  ∑ i : ι, (f.toLinearMap x i).comp (LinearMap.proj i)
+
+@[simp]
+lemma linearDeriv_apply [DecidableEq ι] [Fintype ι] (f : MultilinearMap R M₁ M₂)
+    (x y : (i : ι) → M₁ i) :
+    f.linearDeriv x y = ∑ i, f (update x i (y i)) := by
+  unfold linearDeriv
+  simp only [LinearMap.coeFn_sum, LinearMap.coe_comp, LinearMap.coe_proj, Finset.sum_apply,
+    Function.comp_apply, Function.eval, toLinearMap_apply]
+
 end Semiring
 
 end MultilinearMap
@@ -1194,6 +1257,70 @@ theorem map_sub [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) (x y : M₁ i) :
   rw [sub_eq_add_neg, sub_eq_add_neg, MultilinearMap.map_add, map_neg]
 #align multilinear_map.map_sub MultilinearMap.map_sub
 
+lemma map_update [DecidableEq ι] (x : (i : ι) → M₁ i) (i : ι) (v : M₁ i)  :
+    f (update x i v) = f x - f (update x i (x i - v)) := by
+  rw [map_sub, update_eq_self, sub_sub_cancel]
+
+open Finset in
+lemma map_sub_map_piecewise [LinearOrder ι] (a b : (i : ι) → M₁ i) (s : Finset ι) :
+    f a - f (s.piecewise b a) =
+    ∑ i in s, f (fun j ↦ if j ∈ s → j < i then a j else if i = j then a j - b j else b j) := by
+  refine s.induction_on_min ?_ fun k s hk ih ↦ ?_
+  · rw [Finset.piecewise_empty, sum_empty, sub_self]
+  rw [Finset.piecewise_insert, map_update, ← sub_add, ih,
+      add_comm, sum_insert (lt_irrefl _ <| hk k ·)]
+  simp_rw [s.mem_insert]
+  congr 1
+  · congr; ext i; split_ifs with h₁ h₂
+    · rw [update_noteq, Finset.piecewise_eq_of_not_mem]
+      · exact fun h ↦ (hk i h).not_lt (h₁ <| .inr h)
+      · exact fun h ↦ (h₁ <| .inl h).ne h
+    · cases h₂
+      rw [update_same, s.piecewise_eq_of_not_mem _ _ (lt_irrefl _ <| hk k ·)]
+    · push_neg at h₁
+      rw [update_noteq (Ne.symm h₂), s.piecewise_eq_of_mem _ _ (h₁.1.resolve_left <| Ne.symm h₂)]
+  · apply sum_congr rfl; intro i hi; congr; ext j; congr 1; apply propext
+    simp_rw [imp_iff_not_or, not_or]; apply or_congr_left'
+    intro h; rw [and_iff_right]; rintro rfl; exact h (hk i hi)
+
+/-- This calculates the differences between the values of a multilinear map at
+two arguments that differ on a finset `s` of `ι`. It requires a
+linear order on `ι` in order to express the result.-/
+lemma map_piecewise_sub_map_piecewise [LinearOrder ι] (a b v : (i : ι) → M₁ i) (s : Finset ι) :
+    f (s.piecewise a v) - f (s.piecewise b v) = ∑ i in s, f
+      fun j ↦ if j ∈ s then if j < i then a j else if j = i then a j - b j else b j else v j := by
+  rw [← s.piecewise_idem_right b a, map_sub_map_piecewise]
+  refine Finset.sum_congr rfl fun i hi ↦ congr_arg f <| funext fun j ↦ ?_
+  by_cases hjs : j ∈ s
+  · rw [if_pos hjs]; by_cases hji : j < i
+    · rw [if_pos fun _ ↦ hji, if_pos hji, s.piecewise_eq_of_mem _ _ hjs]
+    rw [if_neg (not_imp.mpr ⟨hjs, hji⟩), if_neg hji]
+    obtain rfl | hij := eq_or_ne i j
+    · rw [if_pos rfl, if_pos rfl, s.piecewise_eq_of_mem _ _ hi]
+    · rw [if_neg hij, if_neg hij.symm]
+  · rw [if_neg hjs, if_pos fun h ↦ (hjs h).elim, s.piecewise_eq_of_not_mem _ _ hjs]
+
+open Finset in
+lemma map_add_eq_map_add_linearDeriv_add [DecidableEq ι] [Fintype ι] (x h : (i : ι) → M₁ i) :
+    f (x + h) = f x + f.linearDeriv x h +
+      ∑ s in univ.powerset.filter (2 ≤ ·.card), f (s.piecewise h x) := by
+  rw [add_comm, map_add_univ, ← Finset.powerset_univ,
+      ← sum_filter_add_sum_filter_not _ (2 ≤ ·.card)]
+  simp_rw [not_le, Nat.lt_succ, le_iff_lt_or_eq (b := 1), Nat.lt_one_iff, filter_or,
+    ← powersetCard_eq_filter, sum_union (univ.pairwise_disjoint_powersetCard zero_ne_one),
+    powersetCard_zero, powersetCard_one, sum_singleton, Finset.piecewise_empty, sum_map,
+    Function.Embedding.coeFn_mk, Finset.piecewise_singleton, linearDeriv_apply, add_comm]
+
+open Finset in
+/-- This expresses the difference between the values of a multilinear map
+at two points "close to `x`" in terms of the "derivative" of the multilinear map at `x`
+and of "second-order" terms.-/
+lemma map_add_sub_map_add_sub_linearDeriv [DecidableEq ι] [Fintype ι] (x h h' : (i : ι) → M₁ i) :
+    f (x + h) - f (x + h') - f.linearDeriv x (h - h') =
+    ∑ s in univ.powerset.filter (2 ≤ ·.card), (f (s.piecewise h x) - f (s.piecewise h' x)) := by
+  simp_rw [map_add_eq_map_add_linearDeriv_add, add_assoc, add_sub_add_comm, sub_self, zero_add,
+    ← LinearMap.map_sub, add_sub_cancel', sum_sub_distrib]
+
 end AddCommGroup
 
 section CommSemiring

Change a few lemma names that have historically bothered me.

• Finset.card_le_of_subset → Finset.card_le_card
• Multiset.card_le_of_le → Multiset.card_le_card
• Multiset.card_lt_of_lt → Multiset.card_lt_card
• Set.ncard_le_of_subset → Set.ncard_le_ncard
• Finset.image_filter → Finset.filter_image
• CompleteLattice.finset_sup_compact_of_compact → CompleteLattice.isCompactElement_finset_sup

@@ -592,7 +592,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   have Brec : (f fun i => ∑ j in B i, g i j) = ∑ r in piFinset B, f fun i => g i (r i) := by
     have : (∑ i, Finset.card (B i)) < ∑ i, Finset.card (A i) := by
       refine'
-        Finset.sum_lt_sum (fun i _ => Finset.card_le_of_subset (B_subset_A i))
+        Finset.sum_lt_sum (fun i _ => Finset.card_le_card (B_subset_A i))
           ⟨i₀, Finset.mem_univ _, _⟩
       have : {j₂} ⊆ A i₀ := by simp [hj₂]
       simp only [Finset.card_sdiff this, Function.update_same, Finset.card_singleton]
@@ -602,7 +602,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- Express the inductive assumption for `C`
   have Crec : (f fun i => ∑ j in C i, g i j) = ∑ r in piFinset C, f fun i => g i (r i) := by
     have : (∑ i, Finset.card (C i)) < ∑ i, Finset.card (A i) :=
-      Finset.sum_lt_sum (fun i _ => Finset.card_le_of_subset (C_subset_A i))
+      Finset.sum_lt_sum (fun i _ => Finset.card_le_card (C_subset_A i))
         ⟨i₀, Finset.mem_univ _, by simp [hi₀]⟩
     rw [h] at this
     exact IH _ this C rfl

Change MultilinearMap.ofSubsingleton and other similar definitions so that they are now equivalences between linear maps and 1-multilinear maps.

@@ -275,22 +275,24 @@ def pi {ι' : Type*} {M' : ι' → Type*} [∀ i, AddCommMonoid (M' i)] [∀ i,
 
 section
 
-variable (R M₂)
+variable (R M₂ M₃)
 
-/-- The evaluation map from `ι → M₂` to `M₂` is multilinear at a given `i` when `ι` is subsingleton.
--/
+/-- Equivalence between linear maps `M₂ →ₗ[R] M₃` and one-multilinear maps. -/
 @[simps]
-def ofSubsingleton [Subsingleton ι] (i' : ι) : MultilinearMap R (fun _ : ι => M₂) M₂ where
-  toFun := Function.eval i'
-  map_add' m i x y := by
-    rw [Subsingleton.elim i i']
-    simp only [Function.eval, Function.update_same]
-  map_smul' m i r x := by
-    rw [Subsingleton.elim i i']
-    simp only [Function.eval, Function.update_same]
-#align multilinear_map.of_subsingleton MultilinearMap.ofSubsingleton
-#align multilinear_map.of_subsingleton_apply MultilinearMap.ofSubsingleton_apply
-
+def ofSubsingleton [Subsingleton ι] (i : ι) :
+    (M₂ →ₗ[R] M₃) ≃ MultilinearMap R (fun _ : ι ↦ M₂) M₃ where
+  toFun f :=
+    { toFun := fun x ↦ f (x i)
+      map_add' := by intros; simp [update_eq_const_of_subsingleton]
+      map_smul' := by intros; simp [update_eq_const_of_subsingleton] }
+  invFun f :=
+    { toFun := fun x ↦ f fun _ ↦ x
+      map_add' := fun x y ↦ by simpa [update_eq_const_of_subsingleton] using f.map_add 0 i x y
+      map_smul' := fun c x ↦ by simpa [update_eq_const_of_subsingleton] using f.map_smul 0 i c x }
+  left_inv f := rfl
+  right_inv f := by ext x; refine congr_arg f ?_; exact (eq_const_of_subsingleton _ _).symm
+#align multilinear_map.of_subsingleton MultilinearMap.ofSubsingletonₓ
+#align multilinear_map.of_subsingleton_apply MultilinearMap.ofSubsingleton_apply_applyₓ
 
 variable (M₁) {M₂}
 
@@ -839,6 +841,21 @@ instance [NoZeroSMulDivisors S M₂] : NoZeroSMulDivisors S (MultilinearMap R M
 
 variable (R S M₁ M₂ M₃)
 
+section OfSubsingleton
+
+variable [AddCommMonoid M₃] [Semiring S] [Module S M₃] [Module R M₃] [SMulCommClass R S M₃]
+
+/-- Linear equivalence between linear maps `M₂ →ₗ[R] M₃`
+and one-multilinear maps `MultilinearMap R (fun _ : ι ↦ M₂) M₃`. -/
+@[simps (config := { simpRhs := true })]
+def ofSubsingletonₗ [Subsingleton ι] (i : ι) :
+    (M₂ →ₗ[R] M₃) ≃ₗ[S] MultilinearMap R (fun _ : ι ↦ M₂) M₃ :=
+  { ofSubsingleton R M₂ M₃ i with
+    map_add' := fun _ _ ↦ rfl
+    map_smul' := fun _ _ ↦ rfl }
+
+end OfSubsingleton
+
 /-- The dependent version of `MultilinearMap.domDomCongrLinearEquiv`. -/
 @[simps apply symm_apply]
 def domDomCongrLinearEquiv' {ι' : Type*} (σ : ι ≃ ι') :

@@ -921,6 +921,45 @@ section CommSemiring
 variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [∀ i, AddCommMonoid (M i)] [AddCommMonoid M₂]
   [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂] (f f' : MultilinearMap R M₁ M₂)
 
+section
+variable {M₁' : ι → Type*} [Π i, AddCommMonoid (M₁' i)] [Π i, Module R (M₁' i)]
+
+/-- If `f` is a collection of linear maps, then the construction `MultilinearMap.compLinearMap`
+sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g`. -/
+@[simps] def compLinearMapₗ (f : Π (i : ι), M₁ i →ₗ[R] M₁' i) :
+    (MultilinearMap R M₁' M₂) →ₗ[R] MultilinearMap R M₁ M₂ where
+  toFun := fun g ↦ g.compLinearMap f
+  map_add' := fun _ _ ↦ rfl
+  map_smul' := fun _ _ ↦ rfl
+
+/-- If `f` is a collection of linear maps, then the construction `MultilinearMap.compLinearMap`
+sending a multilinear map `g` to `g (f₁ ⬝ , ..., fₙ ⬝ )` is linear in `g` and multilinear in
+`f₁, ..., fₙ`. -/
+@[simps] def compLinearMapMultilinear :
+  @MultilinearMap R ι (λ i ↦ M₁ i →ₗ[R] M₁' i)
+    ((MultilinearMap R M₁' M₂) →ₗ[R] MultilinearMap R M₁ M₂) _ _ _ (λ i ↦ LinearMap.module) _ where
+  toFun := MultilinearMap.compLinearMapₗ
+  map_add' := by
+    intro _ f i f₁ f₂
+    ext g x
+    change (g fun j ↦ update f i (f₁ + f₂) j <| x j) =
+        (g fun j ↦ update f i f₁ j <|x j) + g fun j ↦ update f i f₂ j (x j)
+    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := λ i f ↦ f (x i)
+    convert g.map_add (λ j ↦ f j (x j)) i (f₁ (x i)) (f₂ (x i)) with j j j
+    · exact Function.apply_update c f i (f₁ + f₂) j
+    · exact Function.apply_update c f i f₁ j
+    · exact Function.apply_update c f i f₂ j
+  map_smul' := by
+    intro _ f i a f₀
+    ext g x
+    change (g fun j ↦ update f i (a • f₀) j <| x j) = a • g fun j ↦ update f i f₀ j (x j)
+    let c : Π (i : ι), (M₁ i →ₗ[R] M₁' i) → M₁' i := λ i f ↦ f (x i)
+    convert g.map_smul (λ j ↦ f j (x j)) i a (f₀ (x i)) with j j j
+    · exact Function.apply_update c f i (a • f₀) j
+    · exact Function.apply_update c f i f₀ j
+
+end
+
 /-- If one multiplies by `c i` the coordinates in a finset `s`, then the image under a multilinear
 map is multiplied by `∏ i in s, c i`. This is mainly an auxiliary statement to prove the result when
 `s = univ`, given in `map_smul_univ`, although it can be useful in its own right as it does not

This reduces the file from ~2600 lines to ~1600 lines.

Co-authored-by: Vierkantor <vierkantor@vierkantor.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

@@ -3,14 +3,11 @@ Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathlib.LinearAlgebra.Basic
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Algebra.BigOperators.Order
-import Mathlib.Algebra.BigOperators.Ring
-import Mathlib.Data.List.FinRange
 import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort
-import Mathlib.Tactic.Abel
+import Mathlib.Data.List.FinRange
 
 #align_import linear_algebra.multilinear.basic from "leanprover-community/mathlib"@"78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea"
 

Use .asFn and .lemmasOnly as simps configuration options.

For reference, these are defined here:

https://github.com/leanprover-community/mathlib4/blob/4055c8b471380825f07416b12cb0cf266da44d84/Mathlib/Tactic/Simps/Basic.lean#L843-L851

@@ -299,7 +299,7 @@ variable (M₁) {M₂}
 
 /-- The constant map is multilinear when `ι` is empty. -/
 -- Porting note: Removed [simps] & added simpNF-approved version of the generated lemma manually.
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def constOfIsEmpty [IsEmpty ι] (m : M₂) : MultilinearMap R M₁ M₂ where
   toFun := Function.const _ m
   map_add' _ := isEmptyElim

This will improve spaces in the mathlib4 docs.

@@ -1276,7 +1276,7 @@ variable (R M M₂)
 
 /-- The space of multilinear maps on `∀ (i : Fin (n+1)), M i` is canonically isomorphic to
 the space of linear maps from `M 0` to the space of multilinear maps on
-`∀ (i : Fin n), M i.succ `, by separating the first variable. We register this isomorphism as a
+`∀ (i : Fin n), M i.succ`, by separating the first variable. We register this isomorphism as a
 linear isomorphism in `multilinearCurryLeftEquiv R M M₂`.
 
 The direct and inverse maps are given by `f.uncurryLeft` and `f.curryLeft`. Use these

Rename union_eq_left_iff_subset to union_eq_left to match sup_eq_left. Similarly for the right and inter versions.

@@ -564,7 +564,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       have : A i₀ = B i₀ ∪ C i₀ := by
         simp only [Function.update_same, Finset.sdiff_union_self_eq_union]
         symm
-        simp only [hj₂, Finset.singleton_subset_iff, Finset.union_eq_left_iff_subset]
+        simp only [hj₂, Finset.singleton_subset_iff, Finset.union_eq_left]
       rw [this]
       refine Finset.sum_union <| Finset.disjoint_right.2 fun j hj => ?_
       have : j = j₂ := by

Also cleanup FunLike-related code and move code about Semirings to a new section.

For linear equivalences, generalization to a Semiring required introducing a new Semiring argument, so that R-linear objects are related by an S-linear equivalence.

@@ -77,14 +77,14 @@ since `_inst` is a free variable and so the equality can just be substituted.
 
 open Function Fin Set BigOperators
 
-universe u v v' v₁ v₂ v₃ w u'
+universe uR uS uι v v' v₁ v₂ v₃
 
-variable {R : Type u} {ι : Type u'} {n : ℕ} {M : Fin n.succ → Type v} {M₁ : ι → Type v₁}
-  {M₂ : Type v₂} {M₃ : Type v₃} {M' : Type v'}
+variable {R : Type uR} {S : Type uS} {ι : Type uι} {n : ℕ}
+  {M : Fin n.succ → Type v} {M₁ : ι → Type v₁} {M₂ : Type v₂} {M₃ : Type v₃} {M' : Type v'}
 
 /-- Multilinear maps over the ring `R`, from `∀ i, M₁ i` to `M₂` where `M₁ i` and `M₂` are modules
 over `R`. -/
-structure MultilinearMap (R : Type u) {ι : Type u'} (M₁ : ι → Type v) (M₂ : Type w) [Semiring R]
+structure MultilinearMap (R : Type uR) {ι : Type uι} (M₁ : ι → Type v₁) (M₂ : Type v₂) [Semiring R]
   [∀ i, AddCommMonoid (M₁ i)] [AddCommMonoid M₂] [∀ i, Module R (M₁ i)] [Module R M₂] where
   /-- The underlying multivariate function of a multilinear map. -/
   toFun : (∀ i, M₁ i) → M₂
@@ -127,40 +127,34 @@ theorem coe_mk (f : (∀ i, M₁ i) → M₂) (h₁ h₂) : ⇑(⟨f, h₁, h₂
 #align multilinear_map.coe_mk MultilinearMap.coe_mk
 
 theorem congr_fun {f g : MultilinearMap R M₁ M₂} (h : f = g) (x : ∀ i, M₁ i) : f x = g x :=
-  congr_arg (fun h : MultilinearMap R M₁ M₂ => h x) h
+  FunLike.congr_fun h x
 #align multilinear_map.congr_fun MultilinearMap.congr_fun
 
 nonrec theorem congr_arg (f : MultilinearMap R M₁ M₂) {x y : ∀ i, M₁ i} (h : x = y) : f x = f y :=
-  congr_arg (fun x : ∀ i, M₁ i => f x) h
+  FunLike.congr_arg f h
 #align multilinear_map.congr_arg MultilinearMap.congr_arg
 
-theorem coe_injective : Injective ((↑) : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) := by
-  intro f g h
-  cases f
-  cases g
-  cases h
-  rfl
+theorem coe_injective : Injective ((↑) : MultilinearMap R M₁ M₂ → (∀ i, M₁ i) → M₂) :=
+  FunLike.coe_injective
 #align multilinear_map.coe_injective MultilinearMap.coe_injective
 
 @[norm_cast] -- Porting note: Removed simp attribute, simp can prove this
 theorem coe_inj {f g : MultilinearMap R M₁ M₂} : (f : (∀ i, M₁ i) → M₂) = g ↔ f = g :=
-  coe_injective.eq_iff
+  FunLike.coe_fn_eq
 #align multilinear_map.coe_inj MultilinearMap.coe_inj
 
 @[ext]
 theorem ext {f f' : MultilinearMap R M₁ M₂} (H : ∀ x, f x = f' x) : f = f' :=
-  coe_injective (funext H)
+  FunLike.ext _ _ H
 #align multilinear_map.ext MultilinearMap.ext
 
 theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x :=
-  ⟨fun h _ => h ▸ rfl, fun h => ext h⟩
+  FunLike.ext_iff
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
 
 @[simp]
 theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) :
-    (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f := by
-  ext
-  rfl
+    (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f := rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
 
 @[simp]
@@ -238,16 +232,17 @@ instance addCommMonoid : AddCommMonoid (MultilinearMap R M₁ M₂) :=
   coe_injective.addCommMonoid _ rfl (fun _ _ => rfl) fun _ _ => rfl
 #align multilinear_map.add_comm_monoid MultilinearMap.addCommMonoid
 
+/-- Coercion of a multilinear map to a function as an additive monoid homomorphism. -/
+@[simps] def coeAddMonoidHom : MultilinearMap R M₁ M₂ →+ (((i : ι) → M₁ i) → M₂) where
+  toFun := FunLike.coe; map_zero' := rfl; map_add' _ _ := rfl
+
 @[simp]
-theorem sum_apply {α : Type*} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
-    ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
-  classical
-    apply Finset.induction
-    · rw [Finset.sum_empty]
-      simp
-    · intro a s has H
-      rw [Finset.sum_insert has]
-      simp [H, has]
+theorem coe_sum {α : Type*} (f : α → MultilinearMap R M₁ M₂) (s : Finset α) :
+    ⇑(∑ a in s, f a) = ∑ a in s, ⇑(f a) :=
+  map_sum coeAddMonoidHom f s
+
+theorem sum_apply {α : Type*} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) {s : Finset α} :
+    (∑ a in s, f a) m = ∑ a in s, f a m := by simp
 #align multilinear_map.sum_apply MultilinearMap.sum_apply
 
 /-- If `f` is a multilinear map, then `f.toLinearMap m i` is the linear map obtained by fixing all
@@ -824,95 +819,33 @@ end LinearMap
 
 namespace MultilinearMap
 
-section CommSemiring
-
-variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [∀ i, AddCommMonoid (M i)] [AddCommMonoid M₂]
-  [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂] (f f' : MultilinearMap R M₁ M₂)
-
-/-- If one multiplies by `c i` the coordinates in a finset `s`, then the image under a multilinear
-map is multiplied by `∏ i in s, c i`. This is mainly an auxiliary statement to prove the result when
-`s = univ`, given in `map_smul_univ`, although it can be useful in its own right as it does not
-require the index set `ι` to be finite. -/
-theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (s : Finset ι) :
-    f (s.piecewise (fun i => c i • m i) m) = (∏ i in s, c i) • f m := by
-  refine' s.induction_on (by simp) _
-  intro j s j_not_mem_s Hrec
-  have A :
-    Function.update (s.piecewise (fun i => c i • m i) m) j (m j) =
-      s.piecewise (fun i => c i • m i) m := by
-    ext i
-    by_cases h : i = j
-    · rw [h]
-      simp [j_not_mem_s]
-    · simp [h]
-  rw [s.piecewise_insert, f.map_smul, A, Hrec]
-  simp [j_not_mem_s, mul_smul]
-#align multilinear_map.map_piecewise_smul MultilinearMap.map_piecewise_smul
-
-/-- Multiplicativity of a multilinear map along all coordinates at the same time,
-writing `f (fun i => c i • m i)` as `(∏ i, c i) • f m`. -/
-theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
-    (f fun i => c i • m i) = (∏ i, c i) • f m := by
-  classical simpa using map_piecewise_smul f c m Finset.univ
-#align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
-
-@[simp]
-theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
-    f (update (c • m) i x) = c ^ (Fintype.card ι - 1) • f (update m i x) := by
-  have :
-    f ((Finset.univ.erase i).piecewise (c • update m i x) (update m i x)) =
-      (∏ _i in Finset.univ.erase i, c) • f (update m i x) :=
-    map_piecewise_smul f _ _ _
-  simpa [← Function.update_smul c m] using this
-#align multilinear_map.map_update_smul MultilinearMap.map_update_smul
-
-section DistribMulAction
-
-variable {R' A : Type*} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [DistribMulAction R' M₂]
-  [Module A M₂] [SMulCommClass A R' M₂]
+section Semiring
 
-instance : DistribMulAction R' (MultilinearMap A M₁ M₂) where
-  one_smul _ := ext fun _ => one_smul _ _
-  mul_smul _ _ _ := ext fun _ => mul_smul _ _ _
-  smul_zero _ := ext fun _ => smul_zero _
-  smul_add _ _ _ := ext fun _ => smul_add _ _ _
+variable [Semiring R] [(i : ι) → AddCommMonoid (M₁ i)] [(i : ι) → Module R (M₁ i)]
+  [AddCommMonoid M₂] [Module R M₂]
 
-end DistribMulAction
+instance [Monoid S] [DistribMulAction S M₂] [Module R M₂] [SMulCommClass R S M₂] :
+    DistribMulAction S (MultilinearMap R M₁ M₂) :=
+  coe_injective.distribMulAction coeAddMonoidHom fun _ _ ↦ rfl
 
 section Module
 
-variable {R' A : Type*} [Semiring R'] [Semiring A] [∀ i, Module A (M₁ i)] [Module A M₂]
-  [AddCommMonoid M₃] [Module R' M₃] [Module A M₃] [SMulCommClass A R' M₃]
+variable [Semiring S] [Module S M₂] [Module R M₂] [SMulCommClass R S M₂]
 
 /-- The space of multilinear maps over an algebra over `R` is a module over `R`, for the pointwise
 addition and scalar multiplication. -/
-instance [Module R' M₂] [SMulCommClass A R' M₂] : Module R' (MultilinearMap A M₁ M₂) where
-  add_smul _ _ _ := ext fun _ => add_smul _ _ _
-  zero_smul _ := ext fun _ => zero_smul _ _
+instance : Module S (MultilinearMap R M₁ M₂) :=
+  coe_injective.module _ coeAddMonoidHom fun _ _ ↦ rfl
 
-instance [NoZeroSMulDivisors R' M₃] : NoZeroSMulDivisors R' (MultilinearMap A M₁ M₃) :=
+instance [NoZeroSMulDivisors S M₂] : NoZeroSMulDivisors S (MultilinearMap R M₁ M₂) :=
   coe_injective.noZeroSMulDivisors _ rfl coe_smul
 
-variable (M₂ M₃ R' A)
-
-/-- `MultilinearMap.domDomCongr` as a `LinearEquiv`. -/
-@[simps apply symm_apply]
-def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
-    MultilinearMap A (fun _ : ι₁ => M₂) M₃ ≃ₗ[R'] MultilinearMap A (fun _ : ι₂ => M₂) M₃ :=
-  { (domDomCongrEquiv σ :
-      MultilinearMap A (fun _ : ι₁ => M₂) M₃ ≃+ MultilinearMap A (fun _ : ι₂ => M₂) M₃) with
-    map_smul' := fun c f => by
-      ext
-      simp [MultilinearMap.domDomCongr] }
-#align multilinear_map.dom_dom_congr_linear_equiv MultilinearMap.domDomCongrLinearEquiv
-#align multilinear_map.dom_dom_congr_linear_equiv_apply MultilinearMap.domDomCongrLinearEquiv_apply
-#align multilinear_map.dom_dom_congr_linear_equiv_symm_apply MultilinearMap.domDomCongrLinearEquiv_symm_apply
-variable (R M₁)
+variable (R S M₁ M₂ M₃)
 
 /-- The dependent version of `MultilinearMap.domDomCongrLinearEquiv`. -/
 @[simps apply symm_apply]
 def domDomCongrLinearEquiv' {ι' : Type*} (σ : ι ≃ ι') :
-    MultilinearMap R M₁ M₂ ≃ₗ[R] MultilinearMap R (fun i => M₁ (σ.symm i)) M₂ where
+    MultilinearMap R M₁ M₂ ≃ₗ[S] MultilinearMap R (fun i => M₁ (σ.symm i)) M₂ where
   toFun f :=
     { toFun := f ∘ (σ.piCongrLeft' M₁).symm
       map_add' := fun m i => by
@@ -956,7 +889,7 @@ def domDomCongrLinearEquiv' {ι' : Type*} (σ : ι ≃ ι') :
 /-- The space of constant maps is equivalent to the space of maps that are multilinear with respect
 to an empty family. -/
 @[simps]
-def constLinearEquivOfIsEmpty [IsEmpty ι] : M₂ ≃ₗ[R] MultilinearMap R M₁ M₂ where
+def constLinearEquivOfIsEmpty [IsEmpty ι] : M₂ ≃ₗ[S] MultilinearMap R M₁ M₂ where
   toFun := MultilinearMap.constOfIsEmpty R _
   map_add' _ _ := rfl
   map_smul' _ _ := rfl
@@ -966,8 +899,68 @@ def constLinearEquivOfIsEmpty [IsEmpty ι] : M₂ ≃ₗ[R] MultilinearMap R M
 #align multilinear_map.const_linear_equiv_of_is_empty MultilinearMap.constLinearEquivOfIsEmpty
 #align multilinear_map.const_linear_equiv_of_is_empty_apply_to_add_hom_apply MultilinearMap.constLinearEquivOfIsEmpty_apply
 #align multilinear_map.const_linear_equiv_of_is_empty_apply_to_add_hom_symm_apply MultilinearMap.constLinearEquivOfIsEmpty_symm_apply
+
+variable [AddCommMonoid M₃] [Module R M₃] [Module S M₃] [SMulCommClass R S M₃]
+
+/-- `MultilinearMap.domDomCongr` as a `LinearEquiv`. -/
+@[simps apply symm_apply]
+def domDomCongrLinearEquiv {ι₁ ι₂} (σ : ι₁ ≃ ι₂) :
+    MultilinearMap R (fun _ : ι₁ => M₂) M₃ ≃ₗ[S] MultilinearMap R (fun _ : ι₂ => M₂) M₃ :=
+  { (domDomCongrEquiv σ :
+      MultilinearMap R (fun _ : ι₁ => M₂) M₃ ≃+ MultilinearMap R (fun _ : ι₂ => M₂) M₃) with
+    map_smul' := fun c f => by
+      ext
+      simp [MultilinearMap.domDomCongr] }
+#align multilinear_map.dom_dom_congr_linear_equiv MultilinearMap.domDomCongrLinearEquiv
+#align multilinear_map.dom_dom_congr_linear_equiv_apply MultilinearMap.domDomCongrLinearEquiv_apply
+#align multilinear_map.dom_dom_congr_linear_equiv_symm_apply MultilinearMap.domDomCongrLinearEquiv_symm_apply
+
 end Module
 
+end Semiring
+
+section CommSemiring
+
+variable [CommSemiring R] [∀ i, AddCommMonoid (M₁ i)] [∀ i, AddCommMonoid (M i)] [AddCommMonoid M₂]
+  [∀ i, Module R (M i)] [∀ i, Module R (M₁ i)] [Module R M₂] (f f' : MultilinearMap R M₁ M₂)
+
+/-- If one multiplies by `c i` the coordinates in a finset `s`, then the image under a multilinear
+map is multiplied by `∏ i in s, c i`. This is mainly an auxiliary statement to prove the result when
+`s = univ`, given in `map_smul_univ`, although it can be useful in its own right as it does not
+require the index set `ι` to be finite. -/
+theorem map_piecewise_smul [DecidableEq ι] (c : ι → R) (m : ∀ i, M₁ i) (s : Finset ι) :
+    f (s.piecewise (fun i => c i • m i) m) = (∏ i in s, c i) • f m := by
+  refine' s.induction_on (by simp) _
+  intro j s j_not_mem_s Hrec
+  have A :
+    Function.update (s.piecewise (fun i => c i • m i) m) j (m j) =
+      s.piecewise (fun i => c i • m i) m := by
+    ext i
+    by_cases h : i = j
+    · rw [h]
+      simp [j_not_mem_s]
+    · simp [h]
+  rw [s.piecewise_insert, f.map_smul, A, Hrec]
+  simp [j_not_mem_s, mul_smul]
+#align multilinear_map.map_piecewise_smul MultilinearMap.map_piecewise_smul
+
+/-- Multiplicativity of a multilinear map along all coordinates at the same time,
+writing `f (fun i => c i • m i)` as `(∏ i, c i) • f m`. -/
+theorem map_smul_univ [Fintype ι] (c : ι → R) (m : ∀ i, M₁ i) :
+    (f fun i => c i • m i) = (∏ i, c i) • f m := by
+  classical simpa using map_piecewise_smul f c m Finset.univ
+#align multilinear_map.map_smul_univ MultilinearMap.map_smul_univ
+
+@[simp]
+theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : ι) (c : R) (x : M₁ i) :
+    f (update (c • m) i x) = c ^ (Fintype.card ι - 1) • f (update m i x) := by
+  have :
+    f ((Finset.univ.erase i).piecewise (c • update m i x) (update m i x)) =
+      (∏ _i in Finset.univ.erase i, c) • f (update m i x) :=
+    map_piecewise_smul f _ _ _
+  simpa [← Function.update_smul c m] using this
+#align multilinear_map.map_update_smul MultilinearMap.map_update_smul
+
 section
 
 variable (R ι)
@@ -1523,7 +1516,7 @@ on `fun i : Fin l => M'`. -/
 def curryFinFinset {k l n : ℕ} {s : Finset (Fin n)} (hk : s.card = k) (hl : sᶜ.card = l) :
     MultilinearMap R (fun _ : Fin n => M') M₂ ≃ₗ[R]
       MultilinearMap R (fun _ : Fin k => M') (MultilinearMap R (fun _ : Fin l => M') M₂) :=
-  (domDomCongrLinearEquiv M' M₂ R R (finSumEquivOfFinset hk hl).symm).trans
+  (domDomCongrLinearEquiv R R M' M₂ (finSumEquivOfFinset hk hl).symm).trans
     (currySumEquiv R (Fin k) M₂ M' (Fin l))
 #align multilinear_map.curry_fin_finset MultilinearMap.curryFinFinset
 

This removes redundant field values of the form add := add for smaller terms and less unfolding during unification.

A list of all files containing a structure instance of the form { a1, ... with x1 := val, ... } where some xi is a field of some aj was generated by modifying the structure instance elaboration algorithm to print such overlaps to stdout in a custom toolchain.

Using that toolchain, I went through each file on the list and attempted to remove algebraic fields that overlapped and were redundant, eg add := add and not toFun (though some other ones did creep in). If things broke (which was the case in a couple of cases), I did not push further and reverted.

It is possible that pushing harder and trying to remove all redundant overlaps will yield further improvements.

@@ -1117,10 +1117,6 @@ theorem sub_apply (m : ∀ i, M₁ i) : (f - g) m = f m - g m :=
 
 instance : AddCommGroup (MultilinearMap R M₁ M₂) :=
   { MultilinearMap.addCommMonoid with
-    zero := (0 : MultilinearMap R M₁ M₂)
-    add := (· + ·)
-    neg := Neg.neg
-    sub := Sub.sub
     add_left_neg := fun a => MultilinearMap.ext fun v => add_left_neg _
     sub_eq_add_neg := fun a b => MultilinearMap.ext fun v => sub_eq_add_neg _ _
     zsmul := fun n f =>

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

This has nice performance benefits.

@@ -215,7 +215,7 @@ theorem zero_apply (m : ∀ i, M₁ i) : (0 : MultilinearMap R M₁ M₂) m = 0
 
 section SMul
 
-variable {R' A : Type _} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [DistribMulAction R' M₂]
+variable {R' A : Type*} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [DistribMulAction R' M₂]
   [Module A M₂] [SMulCommClass A R' M₂]
 
 instance : SMul R' (MultilinearMap A M₁ M₂) :=
@@ -239,7 +239,7 @@ instance addCommMonoid : AddCommMonoid (MultilinearMap R M₁ M₂) :=
 #align multilinear_map.add_comm_monoid MultilinearMap.addCommMonoid
 
 @[simp]
-theorem sum_apply {α : Type _} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
+theorem sum_apply {α : Type*} (f : α → MultilinearMap R M₁ M₂) (m : ∀ i, M₁ i) :
     ∀ {s : Finset α}, (∑ a in s, f a) m = ∑ a in s, f a m := by
   classical
     apply Finset.induction
@@ -273,7 +273,7 @@ def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : Mul
 /-- Combine a family of multilinear maps with the same domain and codomains `M' i` into a
 multilinear map taking values in the space of functions `∀ i, M' i`. -/
 @[simps]
-def pi {ι' : Type _} {M' : ι' → Type _} [∀ i, AddCommMonoid (M' i)] [∀ i, Module R (M' i)]
+def pi {ι' : Type*} {M' : ι' → Type*} [∀ i, AddCommMonoid (M' i)] [∀ i, Module R (M' i)]
     (f : ∀ i, MultilinearMap R M₁ (M' i)) : MultilinearMap R M₁ (∀ i, M' i) where
   toFun m i := f i m
   map_add' _ _ _ _ := funext fun j => (f j).map_add _ _ _ _
@@ -375,9 +375,9 @@ theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc
 
 section
 
-variable {M₁' : ι → Type _} [∀ i, AddCommMonoid (M₁' i)] [∀ i, Module R (M₁' i)]
+variable {M₁' : ι → Type*} [∀ i, AddCommMonoid (M₁' i)] [∀ i, Module R (M₁' i)]
 
-variable {M₁'' : ι → Type _} [∀ i, AddCommMonoid (M₁'' i)] [∀ i, Module R (M₁'' i)]
+variable {M₁'' : ι → Type*} [∀ i, AddCommMonoid (M₁'' i)] [∀ i, Module R (M₁'' i)]
 
 /-- If `g` is a multilinear map and `f` is a collection of linear maps,
 then `g (f₁ m₁, ..., fₙ mₙ)` is again a multilinear map, that we call
@@ -492,7 +492,7 @@ theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
 
 section ApplySum
 
-variable {α : ι → Type _} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (α i))
+variable {α : ι → Type*} (g : ∀ i, α i → M₁ i) (A : ∀ i, Finset (α i))
 
 open Fintype Finset
 
@@ -656,7 +656,7 @@ theorem map_sum [DecidableEq ι] [Fintype ι] [∀ i, Fintype (α i)] :
   f.map_sum_finset g fun _ => Finset.univ
 #align multilinear_map.map_sum MultilinearMap.map_sum
 
-theorem map_update_sum {α : Type _} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
+theorem map_update_sum {α : Type*} [DecidableEq ι] (t : Finset α) (i : ι) (g : α → M₁ i)
     (m : ∀ i, M₁ i) : f (update m i (∑ a in t, g a)) = ∑ a in t, f (update m i (g a)) := by
   classical
     induction' t using Finset.induction with a t has ih h
@@ -682,7 +682,7 @@ section RestrictScalar
 
 variable (R)
 
-variable {A : Type _} [Semiring A] [SMul R A] [∀ i : ι, Module A (M₁ i)] [Module A M₂]
+variable {A : Type*} [Semiring A] [SMul R A] [∀ i : ι, Module A (M₁ i)] [Module A M₂]
   [∀ i, IsScalarTower R A (M₁ i)] [IsScalarTower R A M₂]
 
 /-- Reinterpret an `A`-multilinear map as an `R`-multilinear map, if `A` is an algebra over `R`
@@ -702,7 +702,7 @@ end RestrictScalar
 
 section
 
-variable {ι₁ ι₂ ι₃ : Type _}
+variable {ι₁ ι₂ ι₃ : Type*}
 
 /-- Transfer the arguments to a map along an equivalence between argument indices.
 
@@ -810,7 +810,7 @@ theorem compMultilinearMap_codRestrict (g : M₂ →ₗ[R] M₃) (f : Multilinea
   MultilinearMap.ext fun _ => rfl
 #align linear_map.comp_multilinear_map_cod_restrict LinearMap.compMultilinearMap_codRestrict
 
-variable {ι₁ ι₂ : Type _}
+variable {ι₁ ι₂ : Type*}
 
 @[simp]
 theorem compMultilinearMap_domDomCongr (σ : ι₁ ≃ ι₂) (g : M₂ →ₗ[R] M₃)
@@ -868,7 +868,7 @@ theorem map_update_smul [DecidableEq ι] [Fintype ι] (m : ∀ i, M₁ i) (i : 
 
 section DistribMulAction
 
-variable {R' A : Type _} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [DistribMulAction R' M₂]
+variable {R' A : Type*} [Monoid R'] [Semiring A] [∀ i, Module A (M₁ i)] [DistribMulAction R' M₂]
   [Module A M₂] [SMulCommClass A R' M₂]
 
 instance : DistribMulAction R' (MultilinearMap A M₁ M₂) where
@@ -881,7 +881,7 @@ end DistribMulAction
 
 section Module
 
-variable {R' A : Type _} [Semiring R'] [Semiring A] [∀ i, Module A (M₁ i)] [Module A M₂]
+variable {R' A : Type*} [Semiring R'] [Semiring A] [∀ i, Module A (M₁ i)] [Module A M₂]
   [AddCommMonoid M₃] [Module R' M₃] [Module A M₃] [SMulCommClass A R' M₃]
 
 /-- The space of multilinear maps over an algebra over `R` is a module over `R`, for the pointwise
@@ -911,7 +911,7 @@ variable (R M₁)
 
 /-- The dependent version of `MultilinearMap.domDomCongrLinearEquiv`. -/
 @[simps apply symm_apply]
-def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
+def domDomCongrLinearEquiv' {ι' : Type*} (σ : ι ≃ ι') :
     MultilinearMap R M₁ M₂ ≃ₗ[R] MultilinearMap R (fun i => M₁ (σ.symm i)) M₂ where
   toFun f :=
     { toFun := f ∘ (σ.piCongrLeft' M₁).symm
@@ -971,7 +971,7 @@ end Module
 section
 
 variable (R ι)
-variable (A : Type _) [CommSemiring A] [Algebra R A] [Fintype ι]
+variable (A : Type*) [CommSemiring A] [Algebra R A] [Fintype ι]
 
 /-- Given an `R`-algebra `A`, `mkPiAlgebra` is the multilinear map on `A^ι` associating
 to `m` the product of all the `m i`.
@@ -996,7 +996,7 @@ end
 section
 
 variable (R n)
-variable (A : Type _) [Semiring A] [Algebra R A]
+variable (A : Type*) [Semiring A] [Algebra R A]
 
 /-- Given an `R`-algebra `A`, `mkPiAlgebraFin` is the multilinear map on `A^n` associating
 to `m` the product of all the `m i`.
@@ -1427,7 +1427,7 @@ def multilinearCurryRightEquiv :
 
 namespace MultilinearMap
 
-variable {ι' : Type _} {R M₂}
+variable {ι' : Type*} {R M₂}
 
 /-- A multilinear map on `∀ i : ι ⊕ ι', M'` defines a multilinear map on `∀ i : ι, M'`
 taking values in the space of multilinear maps on `∀ i : ι', M'`. -/

Various adaptations to changes when Fin API was moved to Std. One notable change is that many lemmas are now stated in terms of i ≠ 0 (for i : Fin n) rather then i.1 ≠ 0, and as a consequence many Fin.vne_of_ne applications have been added or removed, mostly removed.

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

@@ -1218,7 +1218,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       simp only [update_same, map_add, tail_update_zero, MultilinearMap.add_apply]
     · simp_rw [update_noteq (Ne.symm h)]
       revert x y
-      rw [← succ_pred i (Fin.vne_of_ne h)]
+      rw [← succ_pred i h]
       intro x y
       rw [tail_update_succ, MultilinearMap.map_add, tail_update_succ, tail_update_succ]
   map_smul' := @fun dec m i c x => by
@@ -1229,7 +1229,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       simp only [update_same, map_smul, tail_update_zero, MultilinearMap.smul_apply]
     · simp_rw [update_noteq (Ne.symm h)]
       revert x
-      rw [← succ_pred i (Fin.vne_of_ne h)]
+      rw [← succ_pred i h]
       intro x
       rw [tail_update_succ, tail_update_succ, MultilinearMap.map_smul]
 #align linear_map.uncurry_left LinearMap.uncurryLeft

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit 78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Basic
 import Mathlib.Algebra.Algebra.Basic
@@ -17,6 +12,8 @@ import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort
 import Mathlib.Tactic.Abel
 
+#align_import linear_algebra.multilinear.basic from "leanprover-community/mathlib"@"78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea"
+
 /-!
 # Multilinear maps
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

@@ -487,7 +487,7 @@ theorem map_piecewise_add [DecidableEq ι] (m m' : ∀ i, M₁ i) (t : Finset ι
 #align multilinear_map.map_piecewise_add MultilinearMap.map_piecewise_add
 
 /-- Additivity of a multilinear map along all coordinates at the same time,
-writing `f (m + m')` as the sum  of `f (s.piecewise m m')` over all sets `s`. -/
+writing `f (m + m')` as the sum of `f (s.piecewise m m')` over all sets `s`. -/
 theorem map_add_univ [DecidableEq ι] [Fintype ι] (m m' : ∀ i, M₁ i) :
     f (m + m') = ∑ s : Finset ι, f (s.piecewise m m') := by
   simpa using f.map_piecewise_add m m' Finset.univ
@@ -1577,7 +1577,7 @@ theorem curryFinFinset_symm_apply_piecewise_const_aux {k l n : ℕ} {s : Finset
     (f : MultilinearMap R (fun _ : Fin k => M') (MultilinearMap R (fun _ : Fin l => M') M₂))
     (x y : M') :
       ((⇑f fun _ => x) (fun i => (Finset.piecewise s (fun _ => x) (fun _ => y)
-          ((⇑(finSumEquivOfFinset hk hl)) (Sum.inr i)))) =  f (fun _ => x) fun _ => y) := by
+          ((⇑(finSumEquivOfFinset hk hl)) (Sum.inr i)))) = f (fun _ => x) fun _ => y) := by
   have := curryFinFinset_symm_apply_piecewise_const hk hl f x y
   simp only [curryFinFinset_symm_apply, finSumEquivOfFinset_inl, Finset.orderEmbOfFin_mem,
   Finset.piecewise_eq_of_mem, finSumEquivOfFinset_inr] at this

• depends on: https://github.com/leanprover/std4/pull/163
• depends on: #5584
• depends on: #5715
• depends on: #5729
• depends on: https://github.com/leanprover/std4/pull/173

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -363,7 +363,7 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 an element of `∀ (i : Fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
 multilinear map along the first variable. -/
 theorem snoc_add (f : MultilinearMap R M M₂)
-    (m : ∀ i : Fin n, M (castSuccEmb i)) (x y : M (last n)) :
+    (m : ∀ i : Fin n, M (castSucc i)) (x y : M (last n)) :
     f (snoc m (x + y)) = f (snoc m x) + f (snoc m y) := by
   simp_rw [← update_snoc_last x m (x + y), f.map_add, update_snoc_last]
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
@@ -371,7 +371,7 @@ theorem snoc_add (f : MultilinearMap R M M₂)
 /-- In the specific case of multilinear maps on spaces indexed by `Fin (n+1)`, where one can build
 an element of `∀ (i : Fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
-theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSuccEmb i)) (c : R)
+theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc i)) (c : R)
     (x : M (last n)) : f (snoc m (c • x)) = c • f (snoc m x) := by
   simp_rw [← update_snoc_last x m (c • x), f.map_smul, update_snoc_last]
 #align multilinear_map.snoc_smul MultilinearMap.snoc_smul
@@ -1221,7 +1221,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       simp only [update_same, map_add, tail_update_zero, MultilinearMap.add_apply]
     · simp_rw [update_noteq (Ne.symm h)]
       revert x y
-      rw [← succ_pred i h]
+      rw [← succ_pred i (Fin.vne_of_ne h)]
       intro x y
       rw [tail_update_succ, MultilinearMap.map_add, tail_update_succ, tail_update_succ]
   map_smul' := @fun dec m i c x => by
@@ -1232,7 +1232,7 @@ def LinearMap.uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n =>
       simp only [update_same, map_smul, tail_update_zero, MultilinearMap.smul_apply]
     · simp_rw [update_noteq (Ne.symm h)]
       revert x
-      rw [← succ_pred i h]
+      rw [← succ_pred i (Fin.vne_of_ne h)]
       intro x
       rw [tail_update_succ, tail_update_succ, MultilinearMap.map_smul]
 #align linear_map.uncurry_left LinearMap.uncurryLeft
@@ -1318,7 +1318,7 @@ variable {R M M₂}
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (init m) (m (last n))`-/
 def MultilinearMap.uncurryRight
-    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂)) :
+    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
     MultilinearMap R M M₂ where
   toFun m := f (init m) (m (last n))
   map_add' {dec} m i x y := by
@@ -1328,10 +1328,10 @@ def MultilinearMap.uncurryRight
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       simp_rw [update_noteq this]
       revert x y
-      rw [(castSuccEmb_castLT i h).symm]
+      rw [(castSucc_castLT i h).symm]
       intro x y
-      rw [init_update_castSuccEmb, MultilinearMap.map_add, init_update_castSuccEmb,
-        init_update_castSuccEmb, LinearMap.add_apply]
+      rw [init_update_castSucc, MultilinearMap.map_add, init_update_castSucc,
+        init_update_castSucc, LinearMap.add_apply]
     · revert x y
       rw [eq_last_of_not_lt h]
       intro x y
@@ -1343,9 +1343,9 @@ def MultilinearMap.uncurryRight
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       simp_rw [update_noteq this]
       revert x
-      rw [(castSuccEmb_castLT i h).symm]
+      rw [(castSucc_castLT i h).symm]
       intro x
-      rw [init_update_castSuccEmb, init_update_castSuccEmb, MultilinearMap.map_smul,
+      rw [init_update_castSucc, init_update_castSucc, MultilinearMap.map_smul,
         LinearMap.smul_apply]
     · revert x
       rw [eq_last_of_not_lt h]
@@ -1355,7 +1355,7 @@ def MultilinearMap.uncurryRight
 
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
-    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂))
+    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂))
     (m : ∀ i, M i) : f.uncurryRight m = f (init m) (m (last n)) :=
   rfl
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
@@ -1364,7 +1364,7 @@ theorem MultilinearMap.uncurryRight_apply
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
 def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
-    MultilinearMap R (fun i : Fin n => M (Fin.castSuccEmb i)) (M (last n) →ₗ[R] M₂) where
+    MultilinearMap R (fun i : Fin n => M (Fin.castSucc i)) (M (last n) →ₗ[R] M₂) where
   toFun m :=
     { toFun := fun x => f (snoc m x)
       map_add' := fun x y => by simp_rw [f.snoc_add]
@@ -1383,13 +1383,13 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂)
-    (m : ∀ i : Fin n, M (castSuccEmb i)) (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
+    (m : ∀ i : Fin n, M (castSucc i)) (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
   rfl
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
 
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
-    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂)) :
+    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
     f.uncurryRight.curryRight = f := by
   ext m x
   simp only [snoc_last, MultilinearMap.curryRight_apply, MultilinearMap.uncurryRight_apply]
@@ -1406,14 +1406,14 @@ theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
 variable (R M M₂)
 
 /-- The space of multilinear maps on `∀ (i : Fin (n+1)), M i` is canonically isomorphic to
-the space of linear maps from the space of multilinear maps on `∀ (i : Fin n), M (castSuccEmb i)` to
+the space of linear maps from the space of multilinear maps on `∀ (i : Fin n), M (castSucc i)` to
 the space of linear maps on `M (last n)`, by separating the last variable. We register this
 isomorphism as a linear isomorphism in `multilinearCurryRightEquiv R M M₂`.
 
 The direct and inverse maps are given by `f.uncurryRight` and `f.curryRight`. Use these
 unless you need the full framework of linear equivs. -/
 def multilinearCurryRightEquiv :
-    MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂) ≃ₗ[R]
+    MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂) ≃ₗ[R]
       MultilinearMap R M M₂ where
   toFun := MultilinearMap.uncurryRight
   map_add' f₁ f₂ := by

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

@@ -362,7 +362,8 @@ theorem cons_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M i.succ) (c
 /-- In the specific case of multilinear maps on spaces indexed by `Fin (n+1)`, where one can build
 an element of `∀ (i : Fin (n+1)), M i` using `snoc`, one can express directly the additivity of a
 multilinear map along the first variable. -/
-theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc i)) (x y : M (last n)) :
+theorem snoc_add (f : MultilinearMap R M M₂)
+    (m : ∀ i : Fin n, M (castSuccEmb i)) (x y : M (last n)) :
     f (snoc m (x + y)) = f (snoc m x) + f (snoc m y) := by
   simp_rw [← update_snoc_last x m (x + y), f.map_add, update_snoc_last]
 #align multilinear_map.snoc_add MultilinearMap.snoc_add
@@ -370,7 +371,7 @@ theorem snoc_add (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc i
 /-- In the specific case of multilinear maps on spaces indexed by `Fin (n+1)`, where one can build
 an element of `∀ (i : Fin (n+1)), M i` using `cons`, one can express directly the multiplicativity
 of a multilinear map along the first variable. -/
-theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSucc i)) (c : R)
+theorem snoc_smul (f : MultilinearMap R M M₂) (m : ∀ i : Fin n, M (castSuccEmb i)) (c : R)
     (x : M (last n)) : f (snoc m (c • x)) = c • f (snoc m x) := by
   simp_rw [← update_snoc_last x m (c • x), f.map_smul, update_snoc_last]
 #align multilinear_map.snoc_smul MultilinearMap.snoc_smul
@@ -1317,7 +1318,7 @@ variable {R M M₂}
 `M₂`, construct the corresponding multilinear map on `n+1` variables obtained by concatenating
 the variables, given by `m ↦ f (init m) (m (last n))`-/
 def MultilinearMap.uncurryRight
-    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
+    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂)) :
     MultilinearMap R M M₂ where
   toFun m := f (init m) (m (last n))
   map_add' {dec} m i x y := by
@@ -1327,10 +1328,10 @@ def MultilinearMap.uncurryRight
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       simp_rw [update_noteq this]
       revert x y
-      rw [(castSucc_castLT i h).symm]
+      rw [(castSuccEmb_castLT i h).symm]
       intro x y
-      rw [init_update_castSucc, MultilinearMap.map_add, init_update_castSucc,
-        init_update_castSucc, LinearMap.add_apply]
+      rw [init_update_castSuccEmb, MultilinearMap.map_add, init_update_castSuccEmb,
+        init_update_castSuccEmb, LinearMap.add_apply]
     · revert x y
       rw [eq_last_of_not_lt h]
       intro x y
@@ -1342,9 +1343,9 @@ def MultilinearMap.uncurryRight
     · have : last n ≠ i := Ne.symm (ne_of_lt h)
       simp_rw [update_noteq this]
       revert x
-      rw [(castSucc_castLT i h).symm]
+      rw [(castSuccEmb_castLT i h).symm]
       intro x
-      rw [init_update_castSucc, init_update_castSucc, MultilinearMap.map_smul,
+      rw [init_update_castSuccEmb, init_update_castSuccEmb, MultilinearMap.map_smul,
         LinearMap.smul_apply]
     · revert x
       rw [eq_last_of_not_lt h]
@@ -1354,8 +1355,8 @@ def MultilinearMap.uncurryRight
 
 @[simp]
 theorem MultilinearMap.uncurryRight_apply
-    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) (m : ∀ i, M i) :
-    f.uncurryRight m = f (init m) (m (last n)) :=
+    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂))
+    (m : ∀ i, M i) : f.uncurryRight m = f (init m) (m (last n)) :=
   rfl
 #align multilinear_map.uncurry_right_apply MultilinearMap.uncurryRight_apply
 
@@ -1363,7 +1364,7 @@ theorem MultilinearMap.uncurryRight_apply
 a multilinear map in `n` variables taking values in linear maps from `M (last n)` to `M₂`, given by
 `m ↦ (x ↦ f (snoc m x))`. -/
 def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
-    MultilinearMap R (fun i : Fin n => M (Fin.castSucc i)) (M (last n) →ₗ[R] M₂) where
+    MultilinearMap R (fun i : Fin n => M (Fin.castSuccEmb i)) (M (last n) →ₗ[R] M₂) where
   toFun m :=
     { toFun := fun x => f (snoc m x)
       map_add' := fun x y => by simp_rw [f.snoc_add]
@@ -1382,13 +1383,13 @@ def MultilinearMap.curryRight (f : MultilinearMap R M M₂) :
 
 @[simp]
 theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂)
-    (m : ∀ i : Fin n, M (castSucc i)) (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
+    (m : ∀ i : Fin n, M (castSuccEmb i)) (x : M (last n)) : f.curryRight m x = f (snoc m x) :=
   rfl
 #align multilinear_map.curry_right_apply MultilinearMap.curryRight_apply
 
 @[simp]
 theorem MultilinearMap.curry_uncurryRight
-    (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
+    (f : MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂)) :
     f.uncurryRight.curryRight = f := by
   ext m x
   simp only [snoc_last, MultilinearMap.curryRight_apply, MultilinearMap.uncurryRight_apply]
@@ -1405,14 +1406,14 @@ theorem MultilinearMap.uncurry_curryRight (f : MultilinearMap R M M₂) :
 variable (R M M₂)
 
 /-- The space of multilinear maps on `∀ (i : Fin (n+1)), M i` is canonically isomorphic to
-the space of linear maps from the space of multilinear maps on `∀ (i : Fin n), M (castSucc i)` to
+the space of linear maps from the space of multilinear maps on `∀ (i : Fin n), M (castSuccEmb i)` to
 the space of linear maps on `M (last n)`, by separating the last variable. We register this
 isomorphism as a linear isomorphism in `multilinearCurryRightEquiv R M M₂`.
 
 The direct and inverse maps are given by `f.uncurryRight` and `f.curryRight`. Use these
 unless you need the full framework of linear equivs. -/
 def multilinearCurryRightEquiv :
-    MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂) ≃ₗ[R]
+    MultilinearMap R (fun i : Fin n => M (castSuccEmb i)) (M (last n) →ₗ[R] M₂) ≃ₗ[R]
       MultilinearMap R M M₂ where
   toFun := MultilinearMap.uncurryRight
   map_add' f₁ f₂ := by

• 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

@@ -510,7 +510,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- If one of the sets is empty, then all the sums are zero
   by_cases Ai_empty : ∃ i, A i = ∅
   · rcases Ai_empty with ⟨i, hi⟩
-    have : (∑ j in A i, g i j) = 0 := by rw [hi, Finset.sum_empty]
+    have : ∑ j in A i, g i j = 0 := by rw [hi, Finset.sum_empty]
     rw [f.map_coord_zero i this]
     have : piFinset A = ∅ := by
       refine Finset.eq_empty_of_forall_not_mem fun r hr => ?_

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

@@ -1273,7 +1273,7 @@ theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
 @[simp]
 theorem LinearMap.curry_uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i :
     Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f := by
-  ext (m x)
+  ext m x
   simp only [tail_cons, LinearMap.uncurryLeft_apply, MultilinearMap.curryLeft_apply]
   rw [cons_zero]
 #align linear_map.curry_uncurry_left LinearMap.curry_uncurryLeft
@@ -1390,7 +1390,7 @@ theorem MultilinearMap.curryRight_apply (f : MultilinearMap R M M₂)
 theorem MultilinearMap.curry_uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
     f.uncurryRight.curryRight = f := by
-  ext (m x)
+  ext m x
   simp only [snoc_last, MultilinearMap.curryRight_apply, MultilinearMap.uncurryRight_apply]
   rw [init_snoc]
 #align multilinear_map.curry_uncurry_right MultilinearMap.curry_uncurryRight

Run codespell Mathlib and keep some suggestions.

@@ -69,7 +69,7 @@ are:
 3. Quantifying over all possible `DecidableEq ι` instances in the statement of `map_add'` and
    `map_smul'`.
 
-Option 1 works fine, but puts unecessary constraints on the user (the zero map certainly does not
+Option 1 works fine, but puts unnecessary constraints on the user (the zero map certainly does not
 need decidability). Option 2 looks great at first, but in the common case when `ι = Fin n` it
 introduces non-defeq decidability instance diamonds within the context of proving `map_add'` and
 `map_smul'`, of the form `Fin.decidableEq n = Classical.decEq (Fin n)`. Option 3 of course does
@@ -1188,7 +1188,7 @@ section Currying
 
 We associate to a multilinear map in `n+1` variables (i.e., based on `Fin n.succ`) two
 curried functions, named `f.curryLeft` (which is a linear map on `E 0` taking values
-in multilinear maps in `n` variables) and `f.curryRight` (wich is a multilinear map in `n`
+in multilinear maps in `n` variables) and `f.curryRight` (which is a multilinear map in `n`
 variables taking values in linear maps on `E 0`). In both constructions, the variable that is
 singled out is `0`, to take advantage of the operations `cons` and `tail` on `Fin n`.
 The inverse operations are called `uncurryLeft` and `uncurryRight`.

Forward-port leanprover-community/mathlib#19069

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module linear_algebra.multilinear.basic
-! leanprover-community/mathlib commit ce11c3c2a285bbe6937e26d9792fda4e51f3fe1a
+! leanprover-community/mathlib commit 78fdf68dcd2fdb3fe64c0dd6f88926a49418a6ea
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -264,12 +264,14 @@ def toLinearMap [DecidableEq ι] (m : ∀ i, M₁ i) (i : ι) : M₁ i →ₗ[R]
 #align multilinear_map.to_linear_map_to_add_hom_apply MultilinearMap.toLinearMap_apply
 
 /-- The cartesian product of two multilinear maps, as a multilinear map. -/
+@[simps]
 def prod (f : MultilinearMap R M₁ M₂) (g : MultilinearMap R M₁ M₃) : MultilinearMap R M₁ (M₂ × M₃)
     where
   toFun m := (f m, g m)
   map_add' m i x y := by simp
   map_smul' m i c x := by simp
 #align multilinear_map.prod MultilinearMap.prod
+#align multilinear_map.prod_apply MultilinearMap.prod_apply
 
 /-- Combine a family of multilinear maps with the same domain and codomains `M' i` into a
 multilinear map taking values in the space of functions `∀ i, M' i`. -/

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".

@@ -160,8 +160,8 @@ theorem ext_iff {f g : MultilinearMap R M₁ M₂} : f = g ↔ ∀ x, f x = g x
 #align multilinear_map.ext_iff MultilinearMap.ext_iff
 
 @[simp]
-theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) : (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f :=
-  by
+theorem mk_coe (f : MultilinearMap R M₁ M₂) (h₁ h₂) :
+    (⟨f, h₁, h₂⟩ : MultilinearMap R M₁ M₂) = f := by
   ext
   rfl
 #align multilinear_map.mk_coe MultilinearMap.mk_coe
@@ -1269,9 +1269,8 @@ theorem MultilinearMap.curryLeft_apply (f : MultilinearMap R M M₂) (x : M 0)
 #align multilinear_map.curry_left_apply MultilinearMap.curryLeft_apply
 
 @[simp]
-theorem LinearMap.curry_uncurryLeft
-    (f : M 0 →ₗ[R] MultilinearMap R (fun i : Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f :=
-  by
+theorem LinearMap.curry_uncurryLeft (f : M 0 →ₗ[R] MultilinearMap R (fun i :
+    Fin n => M i.succ) M₂) : f.uncurryLeft.curryLeft = f := by
   ext (m x)
   simp only [tail_cons, LinearMap.uncurryLeft_apply, MultilinearMap.curryLeft_apply]
   rw [cons_zero]

closes #3680, see https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Stepping.20through.20simp_rw/near/326712986

@@ -1348,7 +1348,7 @@ def MultilinearMap.uncurryRight
     · revert x
       rw [eq_last_of_not_lt h]
       intro x
-      simp_rw [update_same, update_same, init_update_last, init_update_last, map_smul]
+      simp_rw [update_same, init_update_last, map_smul]
 #align multilinear_map.uncurry_right MultilinearMap.uncurryRight
 
 @[simp]

@@ -15,6 +15,7 @@ import Mathlib.Algebra.BigOperators.Ring
 import Mathlib.Data.List.FinRange
 import Mathlib.Data.Fintype.BigOperators
 import Mathlib.Data.Fintype.Sort
+import Mathlib.Tactic.Abel
 
 /-!
 # Multilinear maps
@@ -59,27 +60,25 @@ The second way is more artificial as the value of `m` at `i` is not relevant, bu
 advantage of avoiding subtype inclusion issues. This is the definition we use, based on
 `Function.update` that allows to change the value of `m` at `i`.
 
-Note that the use of `Function.update` requires a `decidableEq ι` term to appear somewhere in the
+Note that the use of `Function.update` requires a `DecidableEq ι` term to appear somewhere in the
 statement of `MultilinearMap.map_add'` and `MultilinearMap.map_smul'`. Three possible choices
 are:
 
-1. Requiring `decidableEq ι` as an argument to `MultilinearMap` (as we did originally).
+1. Requiring `DecidableEq ι` as an argument to `MultilinearMap` (as we did originally).
 2. Using `Classical.decEq ι` in the statement of `map_add'` and `map_smul'`.
-3. Quantifying over all possible `decidableEq ι` instances in the statement of `map_add'` and
+3. Quantifying over all possible `DecidableEq ι` instances in the statement of `map_add'` and
    `map_smul'`.
 
 Option 1 works fine, but puts unecessary constraints on the user (the zero map certainly does not
 need decidability). Option 2 looks great at first, but in the common case when `ι = Fin n` it
 introduces non-defeq decidability instance diamonds within the context of proving `map_add'` and
-`map_smul'`, of the form `fin.decidableEq n = Classical.decEq (Fin n)`. Option 3 of course does
-something similar, but of the form `fin.decidableEq n = _inst`, which is much easier to clean up
+`map_smul'`, of the form `Fin.decidableEq n = Classical.decEq (Fin n)`. Option 3 of course does
+something similar, but of the form `Fin.decidableEq n = _inst`, which is much easier to clean up
 since `_inst` is a free variable and so the equality can just be substituted.
 -/
 
 
-open Function Fin Set
-
-open BigOperators
+open Function Fin Set BigOperators
 
 universe u v v' v₁ v₂ v₃ w u'
 
@@ -382,20 +381,18 @@ variable {M₁'' : ι → Type _} [∀ i, AddCommMonoid (M₁'' i)] [∀ i, Modu
 
 /-- If `g` is a multilinear map and `f` is a collection of linear maps,
 then `g (f₁ m₁, ..., fₙ mₙ)` is again a multilinear map, that we call
-`g.comp_linear_map f`. -/
+`g.compLinearMap f`. -/
 def compLinearMap (g : MultilinearMap R M₁' M₂) (f : ∀ i, M₁ i →ₗ[R] M₁' i) : MultilinearMap R M₁ M₂
     where
   toFun m := g fun i => f i (m i)
   map_add' m i x y := by
-    skip
     have : ∀ j z, f j (update m i z j) = update (fun k => f k (m k)) i (f i z) j := fun j z =>
       Function.apply_update (fun k => f k) _ _ _ _
-    · simp [this]
+    simp [this]
   map_smul' m i c x := by
-    skip
     have : ∀ j z, f j (update m i z j) = update (fun k => f k (m k)) i (f i z) j := fun j z =>
       Function.apply_update (fun k => f k) _ _ _ _
-    · simp [this]
+    simp [this]
 #align multilinear_map.comp_linear_map MultilinearMap.compLinearMap
 
 @[simp]
@@ -518,7 +515,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
       have : r i ∈ A i := mem_piFinset.mp hr i
       simp [hi] at this
     rw [this, Finset.sum_empty]
-  push_neg  at Ai_empty
+  push_neg at Ai_empty
   -- Otherwise, if all sets are at most singletons, then they are exactly singletons and the result
   -- is again straightforward
   by_cases Ai_singleton : ∀ i, (A i).card ≤ 1
@@ -543,7 +540,7 @@ theorem map_sum_finset_aux [DecidableEq ι] [Fintype ι] {n : ℕ} (h : (∑ i,
   -- We will split into two parts `B i₀` and `C i₀` of smaller cardinality, let `B i = C i = A i`
   -- for `i ≠ i₀`, apply the inductive assumption to `B` and `C`, and add up the corresponding
   -- parts to get the sum for `A`.
-  push_neg  at Ai_singleton
+  push_neg at Ai_singleton
   obtain ⟨i₀, hi₀⟩ : ∃ i, 1 < (A i).card := Ai_singleton
   obtain ⟨j₁, j₂, _, hj₂, _⟩ : ∃ j₁ j₂, j₁ ∈ A i₀ ∧ j₂ ∈ A i₀ ∧ j₁ ≠ j₂ :=
     Finset.one_lt_card_iff.1 hi₀
@@ -716,12 +713,10 @@ def domDomCongr (σ : ι₁ ≃ ι₂) (m : MultilinearMap R (fun _ : ι₁ => M
     MultilinearMap R (fun _ : ι₂ => M₂) M₃ where
   toFun v := m fun i => v (σ i)
   map_add' v i a b := by
-    skip
     letI := σ.injective.decidableEq
     simp_rw [Function.update_apply_equiv_apply v]
     rw [m.map_add]
   map_smul' v i a b := by
-    skip
     letI := σ.injective.decidableEq
     simp_rw [Function.update_apply_equiv_apply v]
     rw [m.map_smul]
@@ -921,13 +916,11 @@ def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
   toFun f :=
     { toFun := f ∘ (σ.piCongrLeft' M₁).symm
       map_add' := fun m i => by
-        skip
         letI := σ.decidableEq
         rw [← σ.apply_symm_apply i]
         intro x y
         simp only [comp_apply, piCongrLeft'_symm_update, f.map_add]
       map_smul' := fun m i c => by
-        skip
         letI := σ.decidableEq
         rw [← σ.apply_symm_apply i]
         intro x
@@ -935,13 +928,11 @@ def domDomCongrLinearEquiv' {ι' : Type _} (σ : ι ≃ ι') :
   invFun f :=
     { toFun := f ∘ σ.piCongrLeft' M₁
       map_add' := fun m i => by
-        skip
         letI := σ.symm.decidableEq
         rw [← σ.symm_apply_apply i]
         intro x y
         simp only [comp_apply, piCongrLeft'_update, f.map_add]
       map_smul' := fun m i c => by
-        skip
         letI := σ.symm.decidableEq
         rw [← σ.symm_apply_apply i]
         intro x
@@ -1014,15 +1005,13 @@ See also `MultilinearMap.mkPiAlgebra` for a version that assumes `[CommSemiring
 for `A^ι` with any finite type `ι`. -/
 protected def mkPiAlgebraFin : MultilinearMap R (fun _ : Fin n => A) A where
   toFun m := (List.ofFn m).prod
-  map_add' := by
-    intro dec m i x y
+  map_add' {dec} m i x y := by
     rw [Subsingleton.elim dec (by infer_instance)]
     have : (List.finRange n).indexOf i < n := by
       simpa using List.indexOf_lt_length.2 (List.mem_finRange i)
     simp [List.ofFn_eq_map, (List.nodup_finRange n).map_update, List.prod_set, add_mul, this,
       mul_add, add_mul]
-  map_smul' := by
-    intro dec m i c x
+  map_smul' {dec} m i c x := by
     rw [Subsingleton.elim dec (by infer_instance)]
     have : (List.finRange n).indexOf i < n := by
       simpa using List.indexOf_lt_length.2 (List.mem_finRange i)
@@ -1043,7 +1032,7 @@ theorem mkPiAlgebraFin_apply_const (a : A) :
 
 end
 
-/-- Given an `R`-multilinear map `f` taking values in `R`, `f.smul_right z` is the map
+/-- Given an `R`-multilinear map `f` taking values in `R`, `f.smulRight z` is the map
 sending `m` to `f m • z`. -/
 def smulRight (f : MultilinearMap R M₁ R) (z : M₂) : MultilinearMap R M₁ M₂ :=
   (LinearMap.smulRight LinearMap.id z).compMultilinearMap f
@@ -1059,7 +1048,7 @@ variable (R ι)
 
 /-- The canonical multilinear map on `R^ι` when `ι` is finite, associating to `m` the product of
 all the `m i` (multiplied by a fixed reference element `z` in the target module). See also
-`mk_pi_algebra` for a more general version. -/
+`mkPiAlgebra` for a more general version. -/
 protected def mkPiRing [Fintype ι] (z : M₂) : MultilinearMap R (fun _ : ι => R) M₂ :=
   (MultilinearMap.mkPiAlgebra R ι R).smulRight z
 #align multilinear_map.mk_pi_ring MultilinearMap.mkPiRing
@@ -1117,12 +1106,8 @@ instance : Sub (MultilinearMap R M₁ M₂) :=
   ⟨fun f g =>
     ⟨fun m => f m - g m, fun m i x y => by
       simp only [MultilinearMap.map_add, sub_eq_add_neg, neg_add]
-      -- Porting note: Below five lines used to be `cc`
-      rw [add_assoc, add_assoc]
-      congr 1
-      rw [add_comm, add_assoc]
-      congr 1
-      exact add_comm _ _,
+      -- Porting note: used to be `cc`
+      abel,
       fun m i c x => by simp only [MultilinearMap.map_smul, smul_sub]⟩⟩
 
 @[simp]
@@ -1334,7 +1319,7 @@ def MultilinearMap.uncurryRight
     (f : MultilinearMap R (fun i : Fin n => M (castSucc i)) (M (last n) →ₗ[R] M₂)) :
     MultilinearMap R M M₂ where
   toFun m := f (init m) (m (last n))
-  map_add' := @fun dec m i x y => by
+  map_add' {dec} m i x y := by
     -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i.val < n
@@ -1349,7 +1334,7 @@ def MultilinearMap.uncurryRight
       rw [eq_last_of_not_lt h]
       intro x y
       simp_rw [init_update_last, update_same, LinearMap.map_add]
-  map_smul' := @fun dec m i c x => by
+  map_smul' {dec} m i c x := by
     -- porting note: `clear` not necessary in Lean 3 due to not being in the instance cache
     rw [Subsingleton.elim dec (by clear dec; infer_instance)]; clear dec
     by_cases h : i.val < n
@@ -1452,21 +1437,17 @@ def currySum (f : MultilinearMap R (fun _ : Sum ι ι' => M') M₂) :
   toFun u :=
     { toFun := fun v => f (Sum.elim u v)
       map_add' := fun v i x y => by
-        skip
         letI := Classical.decEq ι
         simp only [← Sum.update_elim_inr, f.map_add]
       map_smul' := fun v i c x => by
-        skip
         letI := Classical.decEq ι
         simp only [← Sum.update_elim_inr, f.map_smul] }
   map_add' u i x y :=
     ext fun v => by
-      skip
       letI := Classical.decEq ι'
       simp only [MultilinearMap.coe_mk, add_apply, ← Sum.update_elim_inl, f.map_add]
   map_smul' u i c x :=
     ext fun v => by
-      skip
       letI := Classical.decEq ι'
       simp only [MultilinearMap.coe_mk, smul_apply, ← Sum.update_elim_inl, f.map_smul]
 #align multilinear_map.curry_sum MultilinearMap.currySum
@@ -1483,14 +1464,12 @@ def uncurrySum (f : MultilinearMap R (fun _ : ι => M') (MultilinearMap R (fun _
     MultilinearMap R (fun _ : Sum ι ι' => M') M₂ where
   toFun u := f (u ∘ Sum.inl) (u ∘ Sum.inr)
   map_add' u i x y := by
-    skip
     letI := (@Sum.inl_injective ι ι').decidableEq
     letI := (@Sum.inr_injective ι ι').decidableEq
     cases i <;>
       simp only [MultilinearMap.map_add, add_apply, Sum.update_inl_comp_inl,
         Sum.update_inl_comp_inr, Sum.update_inr_comp_inl, Sum.update_inr_comp_inr]
   map_smul' u i c x := by
-    skip
     letI := (@Sum.inl_injective ι ι').decidableEq
     letI := (@Sum.inr_injective ι ι').decidableEq
     cases i <;>
@@ -1534,10 +1513,11 @@ theorem coe_currySumEquiv : ⇑(currySumEquiv R ι M₂ M' ι') = currySum :=
   rfl
 #align multilinear_map.coe_curry_sum_equiv MultilinearMap.coe_currySumEquiv
 
+-- Porting note: fixed missing letter `y` in name
 @[simp]
-theorem coe_curr_sum_equiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
+theorem coe_currySumEquiv_symm : ⇑(currySumEquiv R ι M₂ M' ι').symm = uncurrySum :=
   rfl
-#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_curr_sum_equiv_symm
+#align multilinear_map.coe_curr_sum_equiv_symm MultilinearMap.coe_currySumEquiv_symm
 
 variable (R M₂ M')
 

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>